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#############################################################################
##
#A anupqeg.tst ANUPQ package Greg Gamble
##
## Tests all but one of the ANUPQ examples.
## Execute this file with `Test( "anupqeg.tst" );'.
## This is a *big* test, taking some 40 minutes on a *fast* (1GHz) machine.
## The number of GAPstones returned at the end do not mean much as they do
## not measure the time spent by the `pq' binary.
##
gap> START_TEST( "Testing ANUPQ examples" );
gap> SetInfoLevel(InfoANUPQ, 1);
gap> examples := AllPqExamples();
[ "11gp-3-Engel-Id", "11gp-3-Engel-Id-i", "11gp-PG-i", "11gp-Rel-i",
"11gp-SP-a-Rel-1-i", "11gp-SP-a-Rel-i", "11gp-SP-a-i", "11gp-SP-b-Rel-i",
"11gp-SP-b-i", "11gp-SP-c-Rel-i", "11gp-a-Rel-i", "11gp-i", "2gp-PG-2-i",
"2gp-PG-3-i", "2gp-PG-4-i", "2gp-PG-e4-i", "2gp-PG-i", "2gp-Rel",
"2gp-Rel-i", "2gp-SP-1-Rel-i", "2gp-SP-2-Rel-i", "2gp-SP-3-Rel-i",
"2gp-SP-4-Rel-i", "2gp-SP-Rel-i", "2gp-SP-d-Rel-i", "2gp-a-Rel-i",
"3gp-PG-4-i", "3gp-PG-i", "3gp-PG-x-1-i", "3gp-PG-x-i", "3gp-Rel-i",
"3gp-SP-1-Rel-i", "3gp-SP-2-Rel-i", "3gp-SP-3-Rel-i", "3gp-SP-4-Rel-i",
"3gp-SP-Rel-i", "3gp-a-Rel", "3gp-a-Rel-i", "3gp-a-x-Rel-i",
"3gp-maxoccur-Rel-i", "5gp-PG-i", "5gp-Rel-i", "5gp-SP-Rel-i",
"5gp-SP-a-Rel-i", "5gp-SP-b-Rel-i", "5gp-SP-big-Rel-i", "5gp-SP-d-Rel-i",
"5gp-a-Rel-i", "5gp-b-Rel-i", "5gp-c-Rel-i", "5gp-maxoccur-Rel-i",
"5gp-metabelian-Rel", "5gp-metabelian-Rel-i", "7gp-PG-i", "7gp-Rel-i",
"7gp-SP-Rel-i", "7gp-SP-a-Rel-i", "7gp-SP-b-Rel-i", "B2-4", "B2-4-Id",
"B2-4-SP-i", "B2-5", "B2-5-i", "B2-8-i", "B4-4-a-i", "B4-4-i", "B5-4.g",
"B5-5-Engel3-Id", "EpimorphismStandardPresentation",
"EpimorphismStandardPresentation-i", "F2-5-i", "G2-SP-Rel-i",
"G3-SP-Rel-i", "G5-SP-Rel-i", "G5-SP-a-Rel-i", "IsIsomorphicPGroup-ni",
"Nott-APG-Rel-i", "Nott-PG-Rel-i", "Nott-SP-Rel-i", "Pq", "Pq-ni",
"PqDescendants-1", "PqDescendants-1-i", "PqDescendants-2",
"PqDescendants-3", "PqDescendants-treetraverse-i",
"PqDescendantsTreeCoclassOne-16-i", "PqDescendantsTreeCoclassOne-25-i",
"PqDescendantsTreeCoclassOne-9-i", "PqEpimorphism", "PqPCover",
"PqSupplementInnerAutomorphisms", "R2-5-i", "R2-5-x-i",
"StandardPresentation", "StandardPresentation-i", "gp-256-SP-Rel-i" ]
gap> RemoveSet(examples, "EpimorphismStandardPresentation-i");
gap> nexamples := Length( examples );
96
gap> ##Example: "11gp-3-Engel-Id" . . . 3-Engel group for prime 11
gap> ##Non-trivial example of using the `Identities' option
gap> F := FreeGroup("a", "b"); a := F.1; b := F.2;
<free group on the generators [ a, b ]>
a
b
gap> G := F/[ a^11, b^11 ];
<fp group on the generators [ a, b ]>
gap> # All word pairs u, v in the pc generators of the 11-quotient Q of G
gap> # must satisfy the Engel identity: [u, v, v, v] = 1.
gap> f := function(u, v) return PqLeftNormComm( [u, v, v, v] ); end;
function( u, v ) ... end
gap> Q := Pq( G : Prime := 11, Identities := [ f ] );
#I Class 1 with 2 generators.
#I Class 2 with 3 generators.
#I Class 3 with 5 generators.
#I Class 3 with 5 generators.
<pc group of size 161051 with 5 generators>
gap> # We do a ``sample'' check that pairs of elements of Q do satisfy
gap> # the given identity:
gap> f( Random(Q), Random(Q) );
<identity> of ...
gap> f( Q.1, Q.2 );
<identity> of ...
gap> # Executing interactive variant of example: "11gp-3-Engel-Id"
gap> ##Example: "11gp-3-Engel-Id" . . . 3-Engel group for prime 11
gap> ##Non-trivial example of using the `Identities' option
gap> F := FreeGroup("a", "b"); a := F.1; b := F.2;
<free group on the generators [ a, b ]>
a
b
gap> G := F/[ a^11, b^11 ];
<fp group on the generators [ a, b ]>
gap> # All word pairs u, v in the pc generators of the 11-quotient Q of G
gap> # must satisfy the Engel identity: [u, v, v, v] = 1.
gap> f := function(u, v) return PqLeftNormComm( [u, v, v, v] ); end;
function( u, v ) ... end
gap> procId := PqStart( G );
1
gap> Q := Pq( procId : Prime := 11, Identities := [ f ] );
#I Class 1 with 2 generators.
#I Class 2 with 3 generators.
#I Class 3 with 5 generators.
#I Class 3 with 5 generators.
<pc group of size 161051 with 5 generators>
gap> # We do a ``sample'' check that pairs of elements of Q do satisfy
gap> # the given identity:
gap> f( Random(Q), Random(Q) );
<identity> of ...
gap> f( Q.1, Q.2 );
<identity> of ...
gap> ##Example: "11gp-3-Engel-Id-i" . . . 3-Engel grp for prime 11
gap> ##Variation of "11gp-3-Engel-Id" broken down into its lower-level component
gap> ##command parts.
gap> F := FreeGroup("a", "b"); a := F.1; b := F.2;
<free group on the generators [ a, b ]>
a
b
gap> G := F/[ a^11, b^11 ];
<fp group on the generators [ a, b ]>
gap> # All word pairs u, v in the pc generators of the 11-quotient Q of G
gap> # must satisfy the Engel identity: [u, v, v, v] = 1.
gap> f := function(u, v) return PqLeftNormComm( [u, v, v, v] ); end;
function( u, v ) ... end
gap> procId := PqStart( G : Prime := 11 );
2
gap> PqPcPresentation( procId : ClassBound := 1);
gap> PqEvaluateIdentities( procId : Identities := [f] );
#I Class 1 with 2 generators.
gap> for c in [2 .. 4] do
> PqNextClass( procId : Identities := [] ); #reset `Identities' option
> PqEvaluateIdentities( procId : Identities := [f] );
> od;
#I Class 2 with 3 generators.
#I Class 3 with 5 generators.
#I Class 3 with 5 generators.
gap> Q := PqCurrentGroup( procId );
<pc group of size 161051 with 5 generators>
gap> # We do a ``sample'' check that pairs of elements of Q do satisfy
gap> # the given identity:
gap> f( Random(Q), Random(Q) );
<identity> of ...
gap> f( Q.1, Q.2 );
<identity> of ...
gap> ##Example: "11gp-PG-i" . . . based on: examples/pga_11gp
gap> ##Descendants of C11 x C11 x C11
gap> F := FreeGroup("a", "b", "c");
<free group on the generators [ a, b, c ]>
gap> procId := PqStart(F : Prime := 11);
3
gap> PqPcPresentation(procId : ClassBound := 1,
> OutputLevel := 1);
#I Lower exponent-11 central series for [grp]
#I Group: [grp] to lower exponent-11 central class 1 has order 11^3
gap> PqComputePCover(procId);
#I Group: [grp] to lower exponent-11 central class 2 has order 11^9
gap> PqPGSupplyAutomorphisms(procId, [ [[ 2, 0, 0],
> [ 0, 1, 0],
> [ 0, 0, 1]],
>
> [[10, 0, 1],
> [10, 0, 0],
> [ 0,10, 0]] ]);
gap> PqPGConstructDescendants(procId : ClassBound := 2,
> CapableDescendants,
> StepSize := 1,
> RankInitialSegmentSubgroups := 3);
#I **************************************************
#I Starting group: [grp]
#I Order: 11^3
#I Nuclear rank: 6
#I 11-multiplicator rank: 6
#I # of immediate descendants of order 11^4 is 4
#I # of capable immediate descendants is 2
#I **************************************************
2
gap> PqQuitAll();
gap> ##Example: "11gp-Rel-i" . . . based on: examples/11gp
gap> ##(equivalent to "11gp-i" example but uses `Relators' option)
gap> F := FreeGroup("a", "b", "c");
<free group on the generators [ a, b, c ]>
gap> rels := ["[b, a, a, b, c]^11", "[a, b, b, a, b, c]^11", "(a * b)^11"];
[ "[b, a, a, b, c]^11", "[a, b, b, a, b, c]^11", "(a * b)^11" ]
gap> procId := PqStart(F : Prime := 11, Relators := rels);
1
gap> PqPcPresentation(procId : ClassBound := 7,
> OutputLevel := 1);
#I Lower exponent-11 central series for [grp]
#I Group: [grp] to lower exponent-11 central class 1 has order 11^3
#I Group: [grp] to lower exponent-11 central class 2 has order 11^8
#I Group: [grp] to lower exponent-11 central class 3 has order 11^19
#I Group: [grp] to lower exponent-11 central class 4 has order 11^42
#I Group: [grp] to lower exponent-11 central class 5 has order 11^98
#I Group: [grp] to lower exponent-11 central class 6 has order 11^228
#I Group: [grp] to lower exponent-11 central class 7 has order 11^563
gap> PqSavePcPresentation(procId, ANUPQData.outfile);
gap> ##Example: "11gp-SP-a-Rel-1-i" . . . based on: isom/11gp_a.com
gap> ##(like "11gp-SP-a-Rel-i" but the initial input presentation
gap> ## is only to class 1).
gap> F := FreeGroup("a", "b");
<free group on the generators [ a, b ]>
gap> rels := ["a^11", "b^11*[b, a, a]^-2", "[b, a, b, b, b, b]"];
[ "a^11", "b^11*[b, a, a]^-2", "[b, a, b, b, b, b]" ]
gap> procId := PqStart(F : Prime := 11, Relators := rels);
2
gap> PqSetOutputLevel(procId, 0);
gap> PqSPComputePcpAndPCover(procId : ClassBound := 1);
gap> PqSPStandardPresentation(procId, [ [[1,0],
> [0,1]],
>
> [[1,0],
> [0,1]],
>
> [[1,0],
> [0,1]],
>
> [[1,0],
> [3,1]],
>
> [[1,0],
> [9,3]],
>
> [[1,0],
> [6,6]],
>
> [[10,0],
> [2,1]] ]
>
> : # options
> ClassBound := 19,
> PcgsAutomorphisms);
gap> ##Example: "11gp-SP-a-Rel-i" . . . based on: isom/11gp_a.com
gap> ##(equivalent to "11gp-SP-a-i" but uses the `Relators' option)
gap> F := FreeGroup("a", "b");
<free group on the generators [ a, b ]>
gap> rels := ["a^11", "b^11*[b, a, a]^-2", "[b, a, b, b, b, b]"];
[ "a^11", "b^11*[b, a, a]^-2", "[b, a, b, b, b, b]" ]
gap> procId := PqStart(F : Prime := 11, Relators := rels);
3
gap> PqSetOutputLevel(procId, 0);
gap> PqSPComputePcpAndPCover(procId : ClassBound := 3);
gap> PqSPStandardPresentation(procId, [ [[1,0,0,0,1],
> [0,1,0,0,0]],
>
> [[1,0,0,0,0],
> [0,1,0,1,0]],
>
> [[1,0,0,0,0],
> [0,1,0,0,1]],
>
> [[1,0,0,0,0],
> [3,1,0,0,0]],
>
> [[1,0,0,0,0],
> [9,3,0,0,0]],
>
> [[1,0,0,0,0],
> [6,6,0,0,0]],
>
> [[10,0,0,0,0],
> [2,1,0,0,0]] ]
>
> : # options
> ClassBound := 19,
> PcgsAutomorphisms);
gap> PqQuitAll();
gap> ##Example: "11gp-SP-a-i" . . . based on: isom/11gp_a.com
gap> F := FreeGroup("a", "b"); a := F.1; b := F.2;
<free group on the generators [ a, b ]>
a
b
gap> R := [a^11, b^11/PqLeftNormComm([b, a, a])^2,
> PqLeftNormComm([b, a, b, b, b, b])];;
gap> procId := PqStart(F/R : Prime := 11);
1
gap> PqSetOutputLevel(procId, 0);
gap> PqSPComputePcpAndPCover(procId : ClassBound := 3);
gap> PqSPStandardPresentation(procId, [ [[1,0,0,0,1],
> [0,1,0,0,0]],
>
> [[1,0,0,0,0],
> [0,1,0,1,0]],
>
> [[1,0,0,0,0],
> [0,1,0,0,1]],
>
> [[1,0,0,0,0],
> [3,1,0,0,0]],
>
> [[1,0,0,0,0],
> [9,3,0,0,0]],
>
> [[1,0,0,0,0],
> [6,6,0,0,0]],
>
> [[10,0,0,0,0],
> [2,1,0,0,0]] ]
>
> : # options
> ClassBound := 19,
> PcgsAutomorphisms);
gap> ##Example: "11gp-SP-b-Rel-i" . . . based on: isom/11gp_b.com
gap> ##(equivalent to "11gp-SP-b-i" but uses the `Relators' option)
gap> F := FreeGroup("a", "b", "c");
<free group on the generators [ a, b, c ]>
gap> rels := ["a^11", "b^11", "c^11", "[b, a, a, a, b, a]",
> "[c, a]", "[c, b]", "[b, a, b]"];
[ "a^11", "b^11", "c^11", "[b, a, a, a, b, a]", "[c, a]", "[c, b]",
"[b, a, b]" ]
gap> procId := PqStart(F : Prime := 11, Relators := rels);
2
gap> PqSetOutputLevel(procId, 0);
gap> PqSPComputePcpAndPCover(procId : ClassBound := 3);
gap> PqSPStandardPresentation(procId, [ [[1,0,0,0,0],
> [0,1,0,0,1],
> [0,0,1,0,0]],
>
> [[1,0,0,0,0],
> [0,1,0,0,0],
> [0,0,1,0,1]],
>
> [[1,0,9,0,0],
> [0,1,0,0,0],
> [0,0,1,0,0]],
>
> [[1,7,8,0,0],
> [0,1,0,0,0],
> [0,0,1,0,0]],
>
> [[10,0,0,0,0],
> [0,1,0,0,0],
> [0,0,1,0,0]],
>
> [[2,0,0,0,0],
> [0,1,0,0,0],
> [0,0,1,0,0]],
>
> [[1,0,8,0,0],
> [0,1,3,0,0],
> [0,0,1,0,0]],
>
> [[1,0,9,0,0],
> [0,1,0,0,0],
> [0,0,3,0,0]],
>
> [[1,0,2,0,0],
> [0,1,0,0,0],
> [0,0,10,0,0]],
>
> [[1,9,10,0,0],
> [0,3,7,0,0],
> [0,0,6,0,0]],
>
> [[1,5,9,0,0],
> [0,7,4,0,0],
> [0,0,10,0,0]]]
>
> : # options
> ClassBound := 8,
> PcgsAutomorphisms);
gap> ##Example: "11gp-SP-b-i" . . . based on: isom/11gp_b.com
gap> F := FreeGroup("a", "b", "c"); a := F.1; b := F.2; c := F.3;
<free group on the generators [ a, b, c ]>
a
b
c
gap> R := [a^11, b^11, c^11, PqLeftNormComm([b, a, a, a, b, a]),
> Comm(c, a), Comm(c, b), PqLeftNormComm([b, a, b])];;
gap> procId := PqStart(F/R : Prime := 11);
3
gap> PqSetOutputLevel(procId, 0);
gap> PqSPComputePcpAndPCover(procId : ClassBound := 3);
gap> PqSPStandardPresentation(procId, [ [[1,0,0,0,0],
> [0,1,0,0,1],
> [0,0,1,0,0]],
>
> [[1,0,0,0,0],
> [0,1,0,0,0],
> [0,0,1,0,1]],
>
> [[1,0,9,0,0],
> [0,1,0,0,0],
> [0,0,1,0,0]],
>
> [[1,7,8,0,0],
> [0,1,0,0,0],
> [0,0,1,0,0]],
>
> [[10,0,0,0,0],
> [0,1,0,0,0],
> [0,0,1,0,0]],
>
> [[2,0,0,0,0],
> [0,1,0,0,0],
> [0,0,1,0,0]],
>
> [[1,0,8,0,0],
> [0,1,3,0,0],
> [0,0,1,0,0]],
>
> [[1,0,9,0,0],
> [0,1,0,0,0],
> [0,0,3,0,0]],
>
> [[1,0,2,0,0],
> [0,1,0,0,0],
> [0,0,10,0,0]],
>
> [[1,9,10,0,0],
> [0,3,7,0,0],
> [0,0,6,0,0]],
>
> [[1,5,9,0,0],
> [0,7,4,0,0],
> [0,0,10,0,0]]]
>
> : # options
> ClassBound := 8,
> PcgsAutomorphisms);
gap> PqQuitAll();
gap> ##Example: "11gp-SP-c-Rel-i" . . . based on: isom/11gp_c.com
gap> F := FreeGroup("a", "b", "c");
<free group on the generators [ a, b, c ]>
gap> rels := ["a^11", "b^11", "c^11", "[b, a, a, a, b]",
> "[c, a]", "[c, b]", "[b, a, b]"];
[ "a^11", "b^11", "c^11", "[b, a, a, a, b]", "[c, a]", "[c, b]", "[b, a, b]" ]
gap> procId := PqStart(F : Prime := 11, Relators := rels);
1
gap> PqSPComputePcpAndPCover(procId : ClassBound := 3);
gap> PqSPStandardPresentation(procId, [ [[1,0,0,0,0],
> [0,1,0,0,1],
> [0,0,1,0,0]],
>
> [[1,0,0,0,0],
> [0,1,0,0,0],
> [0,0,1,0,1]],
>
> [[1,0,9,0,0],
> [0,1,0,0,0],
> [0,0,1,0,0]],
>
> [[1,7,8,0,0],
> [0,1,0,0,0],
> [0,0,1,0,0]],
>
> [[10,0,0,0,0],
> [0,1,0,0,0],
> [0,0,1,0,0]],
>
> [[2,0,0,0,0],
> [0,1,0,0,0],
> [0,0,1,0,0]],
>
> [[1,0,8,0,0],
> [0,1,3,0,0],
> [0,0,1,0,0]],
>
> [[1,0,9,0,0],
> [0,1,0,0,0],
> [0,0,3,0,0]],
>
> [[1,0,2,0,0],
> [0,1,0,0,0],
> [0,0,10,0,0]],
>
> [[1,9,10,0,0],
> [0,3,7,0,0],
> [0,0,6,0,0]],
>
> [[1,5,9,0,0],
> [0,7,4,0,0],
> [0,0,10,0,0]]]
>
> : # options
> ClassBound := 8,#for 9 perm.deg.>2^31, pq dies
> PcgsAutomorphisms);
gap> ##Example: "11gp-a-Rel-i" . . . based on: examples/11gpA
gap> F := FreeGroup("a", "b");
<free group on the generators [ a, b ]>
gap> rels := ["[b, a, a, b, b]^11", "[a, b, b, a, b, b]^11", "(a * b)^11"];
[ "[b, a, a, b, b]^11", "[a, b, b, a, b, b]^11", "(a * b)^11" ]
gap> procId := PqStart(F : Prime := 11, Relators := rels);
2
gap> PqPcPresentation(procId : ClassBound := 8,
> OutputLevel := 1);
#I Lower exponent-11 central series for [grp]
#I Group: [grp] to lower exponent-11 central class 1 has order 11^2
#I Group: [grp] to lower exponent-11 central class 2 has order 11^4
#I Group: [grp] to lower exponent-11 central class 3 has order 11^7
#I Group: [grp] to lower exponent-11 central class 4 has order 11^11
#I Group: [grp] to lower exponent-11 central class 5 has order 11^18
#I Group: [grp] to lower exponent-11 central class 6 has order 11^28
#I Group: [grp] to lower exponent-11 central class 7 has order 11^47
#I Group: [grp] to lower exponent-11 central class 8 has order 11^78
gap> PqSavePcPresentation(procId, ANUPQData.outfile);
gap> ##Example: "11gp-i" . . . based on: examples/11gp
gap> F := FreeGroup("a", "b", "c"); a := F.1; b := F.2; c := F.3;
<free group on the generators [ a, b, c ]>
a
b
c
gap> R := [PqLeftNormComm([b, a, a, b, c])^11,
> PqLeftNormComm([a, b, b, a, b, c])^11, (a * b)^11];;
gap> procId := PqStart(F/R : Prime := 11);
3
gap> PqPcPresentation(procId : ClassBound := 7,
> OutputLevel := 1);
#I Lower exponent-11 central series for [grp]
#I Group: [grp] to lower exponent-11 central class 1 has order 11^3
#I Group: [grp] to lower exponent-11 central class 2 has order 11^8
#I Group: [grp] to lower exponent-11 central class 3 has order 11^19
#I Group: [grp] to lower exponent-11 central class 4 has order 11^42
#I Group: [grp] to lower exponent-11 central class 5 has order 11^98
#I Group: [grp] to lower exponent-11 central class 6 has order 11^228
#I Group: [grp] to lower exponent-11 central class 7 has order 11^563
gap> PqSavePcPresentation(procId, ANUPQData.outfile);
gap> PqQuitAll();
gap> ##Example: "2gp-PG-2-i" . . . based on: examples/pga_example
gap> ##All class 3 descendants of C2 x C2 with extensive output
gap> F := FreeGroup("a", "b");
<free group on the generators [ a, b ]>
gap> procId := PqStart(F : Prime := 2);
1
gap> PqPcPresentation(procId : ClassBound := 1,
> OutputLevel := 1);
#I Lower exponent-2 central series for [grp]
#I Group: [grp] to lower exponent-2 central class 1 has order 2^2
gap> PqComputePCover(procId);
#I Group: [grp] to lower exponent-2 central class 2 has order 2^5
gap> PqPGSupplyAutomorphisms(procId, [ [[0,1],
> [1,1]],
>
> [[0,1],
> [1,0]] ]);
gap> PqPGConstructDescendants(procId : ClassBound := 3,
> PcgsAutomorphisms,
> CustomiseOutput := rec(group := [,,1],
> autgroup := [,1]));
#I **************************************************
#I Starting group: [grp]
#I Order: 2^2
#I Nuclear rank: 3
#I 2-multiplicator rank: 3
#I Group: [grp] #1;1 to lower exponent-2 central class 2 has order 2^3
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on 1^2 = 1 1
#I Non-trivial powers:
#I .1^2 = .3
#I Non-trivial commutators:
#I Automorphism 1:
#I Generator 1 --> 1 0 1
#I Generator 2 --> 0 1 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0
#I Generator 2 --> 0 1 1
#I Number of stabiliser generators is 1
#I Automorphism 1:
#I Generator 1 --> 1 1 0
#I Generator 2 --> 0 1 1
#I Group: [grp] #2;1 to lower exponent-2 central class 2 has order 2^3
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I Non-trivial powers:
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I Number of stabiliser generators is 1
#I Automorphism 1:
#I Generator 1 --> 0 1 0
#I Generator 2 --> 1 0 0
#I Group: [grp] #3;1 to lower exponent-2 central class 2 has order 2^3
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I Non-trivial powers:
#I .1^2 = .3
#I .2^2 = .3
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I Number of stabiliser generators is 2
#I Automorphism 1:
#I Generator 1 --> 0 1 0
#I Generator 2 --> 1 1 0
#I Automorphism 2:
#I Generator 1 --> 0 1 0
#I Generator 2 --> 1 0 0
#I # of immediate descendants of order 2^3 is 3
#I # of capable immediate descendants is 2
#I Group: [grp] #4;2 to lower exponent-2 central class 2 has order 2^4
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on 1^2 = 1 1
#I 4 is defined on 2^2 = 2 2
#I Non-trivial powers:
#I .1^2 = .3
#I .2^2 = .4
#I Non-trivial commutators:
#I Automorphism 1:
#I Generator 1 --> 1 0 1 0
#I Generator 2 --> 0 1 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 1
#I Generator 2 --> 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0
#I Generator 2 --> 0 1 1 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0
#I Generator 2 --> 0 1 0 1
#I Number of stabiliser generators is 2
#I Automorphism 1:
#I Generator 1 --> 0 1 0 0
#I Generator 2 --> 1 1 0 0
#I Automorphism 2:
#I Generator 1 --> 0 1 0 0
#I Generator 2 --> 1 0 0 0
#I Group: [grp] #5;2 to lower exponent-2 central class 2 has order 2^4
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1
#I Generator 2 --> 0 1 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0
#I Generator 2 --> 0 1 0 1
#I Number of stabiliser generators is 1
#I Automorphism 1:
#I Generator 1 --> 1 1 1 0
#I Generator 2 --> 0 1 1 1
#I Group: [grp] #6;2 to lower exponent-2 central class 2 has order 2^4
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .3
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1
#I Generator 2 --> 0 1 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0
#I Generator 2 --> 0 1 0 1
#I Number of stabiliser generators is 1
#I Automorphism 1:
#I Generator 1 --> 1 1 1 0
#I Generator 2 --> 0 1 1 1
#I # of immediate descendants of order 2^4 is 3
#I # of capable immediate descendants is 3
#I Group: [grp] #7;3 to lower exponent-2 central class 2 has order 2^5
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0
#I Generator 2 --> 0 1 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1
#I Generator 2 --> 0 1 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 0 1 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 1
#I Number of stabiliser generators is 2
#I Automorphism 1:
#I Generator 1 --> 0 1 0 0 0
#I Generator 2 --> 1 1 0 0 0
#I Automorphism 2:
#I Generator 1 --> 0 1 0 0 0
#I Generator 2 --> 1 0 0 0 0
#I # of immediate descendants of order 2^5 is 1
#I # of capable immediate descendants is 1
#I **************************************************
#I **************************************************
#I Starting group: [grp] #1;1
#I Order: 2^3
#I Nuclear rank: 1
#I 2-multiplicator rank: 3
#I Group: [grp] #1;1 #1;1 to lower exponent-2 central class 3 has order 2^4
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on 1^2 = 1 1
#I Class 3
#I 4 is defined on 3^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .3
#I .3^2 = .4
#I Non-trivial commutators:
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1
#I Generator 2 --> 0 1 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0
#I Generator 2 --> 0 1 0 1
#I Number of stabiliser generators is 2
#I Automorphism 1:
#I Generator 1 --> 1 0 1 0
#I Generator 2 --> 0 1 0 0
#I Automorphism 2:
#I Generator 1 --> 1 1 0 0
#I Generator 2 --> 0 1 0 1
#I Group: [grp] #1;1 #2;1 to lower exponent-2 central class 3 has order 2^4
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on 1^2 = 1 1
#I Class 3
#I 4 is defined on 3^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .3
#I .3^2 = .4
#I Non-trivial commutators:
#I [ .2, .1 ] = .4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1
#I Generator 2 --> 0 1 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0
#I Generator 2 --> 0 1 0 1
#I Number of stabiliser generators is 2
#I Automorphism 1:
#I Generator 1 --> 1 0 1 0
#I Generator 2 --> 0 1 0 0
#I Automorphism 2:
#I Generator 1 --> 1 1 0 0
#I Generator 2 --> 0 1 0 0
#I # of immediate descendants of order 2^4 is 2
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #2;1
#I Order: 2^3
#I Nuclear rank: 1
#I 2-multiplicator rank: 3
#I Group: [grp] #2;1 #1;1 to lower exponent-2 central class 3 has order 2^4
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I Class 3
#I 4 is defined on [3, 1] = 2 1 1
#I Non-trivial powers:
#I .3^2 = .4
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .4
#I [ .3, .2 ] = .4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0
#I Generator 2 --> 0 1 0 1
#I Number of stabiliser generators is 1
#I Automorphism 1:
#I Generator 1 --> 0 1 0 0
#I Generator 2 --> 1 0 0 0
#I Group: [grp] #2;1 #2;1 to lower exponent-2 central class 3 has order 2^4
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I Class 3
#I 4 is defined on [3, 1] = 2 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .3^2 = .4
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .4
#I [ .3, .2 ] = .4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0
#I Generator 2 --> 0 1 0 1
#I Number of stabiliser generators is 0
#I Group: [grp] #2;1 #3;1 to lower exponent-2 central class 3 has order 2^4
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I Class 3
#I 4 is defined on [3, 1] = 2 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .4
#I .3^2 = .4
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .4
#I [ .3, .2 ] = .4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0
#I Generator 2 --> 0 1 0 1
#I Number of stabiliser generators is 1
#I Automorphism 1:
#I Generator 1 --> 0 1 0 0
#I Generator 2 --> 1 0 0 0
#I # of immediate descendants of order 2^4 is 3
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #3;1
#I Order: 2^3
#I Nuclear rank: 0
#I 2-multiplicator rank: 1
#I Group [grp] #3;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #4;2
#I Order: 2^4
#I Nuclear rank: 2
#I 2-multiplicator rank: 3
#I Group: [grp] #4;2 #1;1 to lower exponent-2 central class 3 has order 2^5
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on 1^2 = 1 1
#I 4 is defined on 2^2 = 2 2
#I Class 3
#I 5 is defined on 3^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .3
#I .2^2 = .4
#I .3^2 = .5
#I Non-trivial commutators:
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 1
#I Generator 2 --> 0 1 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 1 0 0
#I Generator 2 --> 0 1 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 1 0
#I Generator 2 --> 0 1 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 1 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 0 1 0
#I Automorphism 5:
#I Generator 1 --> 1 1 0 0 0
#I Generator 2 --> 0 1 1 0 0
#I Group: [grp] #4;2 #2;1 to lower exponent-2 central class 3 has order 2^5
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on 1^2 = 1 1
#I 4 is defined on 2^2 = 2 2
#I Class 3
#I 5 is defined on 3^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .3
#I .2^2 = .4
#I .3^2 = .5
#I Non-trivial commutators:
#I [ .2, .1 ] = .5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 1
#I Generator 2 --> 0 1 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 1 0 0
#I Generator 2 --> 0 1 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 1 0
#I Generator 2 --> 0 1 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 1 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 0 1 0
#I Automorphism 5:
#I Generator 1 --> 1 1 0 0 0
#I Generator 2 --> 0 1 1 0 0
#I # of immediate descendants of order 2^5 is 2
#I # of capable immediate descendants is 2
#I Group: [grp] #4;2 #3;2 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on 1^2 = 1 1
#I 4 is defined on 2^2 = 2 2
#I Class 3
#I 5 is defined on 3^2 = 1 1 1
#I 6 is defined on 4^2 = 2 2 2
#I Non-trivial powers:
#I .1^2 = .3
#I .2^2 = .4
#I .3^2 = .5
#I .4^2 = .6
#I Non-trivial commutators:
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1
#I Number of stabiliser generators is 6
#I Automorphism 1:
#I Generator 1 --> 1 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 0 1 0 0 0 0
#I Generator 2 --> 1 1 0 0 0 0
#I Automorphism 6:
#I Generator 1 --> 0 1 0 0 0 0
#I Generator 2 --> 1 0 0 0 0 0
#I Group: [grp] #4;2 #4;2 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on 1^2 = 1 1
#I 4 is defined on 2^2 = 2 2
#I Class 3
#I 5 is defined on 3^2 = 1 1 1
#I 6 is defined on 4^2 = 2 2 2
#I Non-trivial powers:
#I .1^2 = .3
#I .2^2 = .4
#I .3^2 = .5
#I .4^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 1 1 0 0 0 0
#I # of immediate descendants of order 2^6 is 2
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #5;2
#I Order: 2^4
#I Nuclear rank: 3
#I 2-multiplicator rank: 4
#I Group: [grp] #5;2 #1;1 to lower exponent-2 central class 3 has order 2^5
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .4^2 = .5
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 1
#I Generator 2 --> 0 1 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 1
#I Number of stabiliser generators is 2
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0
#I Generator 2 --> 0 1 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 1 1 0 0
#I Generator 2 --> 0 1 0 0 1
#I Group: [grp] #5;2 #2;1 to lower exponent-2 central class 3 has order 2^5
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I [ .4, .2 ] = .5
#I Number of stabiliser generators is 2
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0
#I Generator 2 --> 0 1 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 1 1 0 0
#I Generator 2 --> 0 1 0 0 1
#I Group: [grp] #5;2 #3;1 to lower exponent-2 central class 3 has order 2^5
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .4^2 = .5
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I [ .4, .2 ] = .5
#I Number of stabiliser generators is 3
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0
#I Generator 2 --> 0 1 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 0 1 0
#I Automorphism 3:
#I Generator 1 --> 1 1 1 0 0
#I Generator 2 --> 0 1 1 1 0
#I Group: [grp] #5;2 #4;1 to lower exponent-2 central class 3 has order 2^5
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .4^2 = .5
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I [ .4, .2 ] = .5
#I Number of stabiliser generators is 3
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0
#I Generator 2 --> 0 1 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 0 1 0
#I Automorphism 3:
#I Generator 1 --> 1 1 1 0 0
#I Generator 2 --> 0 1 1 1 0
#I Group: [grp] #5;2 #5;1 to lower exponent-2 central class 3 has order 2^5
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .3^2 = .5
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I [ .3, .2 ] = .5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 1
#I Number of stabiliser generators is 2
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0
#I Generator 2 --> 0 1 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 0 1 0
#I Group: [grp] #5;2 #6;1 to lower exponent-2 central class 3 has order 2^5
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .5
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I [ .3, .2 ] = .5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 1
#I Number of stabiliser generators is 2
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0
#I Generator 2 --> 0 1 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 0 1 0
#I Group: [grp] #5;2 #7;1 to lower exponent-2 central class 3 has order 2^5
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .3^2 = .5
#I .4^2 = .5
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I [ .3, .2 ] = .5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 1
#I Number of stabiliser generators is 1
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0
#I Generator 2 --> 0 1 0 0 0
#I # of immediate descendants of order 2^5 is 7
#I # of capable immediate descendants is 3
#I Group: [grp] #5;2 #8;2 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I 6 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .4^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I [ .4, .2 ] = .5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1
#I Number of stabiliser generators is 2
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 1 1 0 0 0
#I Generator 2 --> 0 1 0 0 1 1
#I Group: [grp] #5;2 #9;2 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I 6 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .4^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I [ .4, .2 ] = .5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1
#I Number of stabiliser generators is 2
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 1 1 0 0 0
#I Generator 2 --> 0 1 0 0 1 1
#I Group: [grp] #5;2 #10;2 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I 6 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .3^2 = .5
#I .4^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I [ .3, .2 ] = .5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1
#I Number of stabiliser generators is 1
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Group: [grp] #5;2 #11;2 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I 6 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .5
#I .4^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I [ .3, .2 ] = .5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1
#I Number of stabiliser generators is 1
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Group: [grp] #5;2 #12;2 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I 6 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .3^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I [ .3, .2 ] = .6
#I [ .4, .2 ] = .5 .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1
#I Number of stabiliser generators is 1
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Group: [grp] #5;2 #13;2 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I 6 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I [ .3, .2 ] = .6
#I [ .4, .2 ] = .5 .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1
#I Number of stabiliser generators is 1
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Group: [grp] #5;2 #14;2 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I 6 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .3^2 = .6
#I .4^2 = .5
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I [ .3, .2 ] = .6
#I [ .4, .2 ] = .5 .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1
#I Number of stabiliser generators is 2
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 1 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Group: [grp] #5;2 #15;2 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I 6 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .5
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I [ .3, .2 ] = .6
#I [ .4, .2 ] = .5 .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1
#I Number of stabiliser generators is 2
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 1 1 0 0 0
#I Generator 2 --> 0 1 1 1 0 0
#I Group: [grp] #5;2 #16;2 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I 6 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .3^2 = .6
#I .4^2 = .5 .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I [ .3, .2 ] = .6
#I [ .4, .2 ] = .5 .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1
#I Number of stabiliser generators is 3
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 1 1 0 0 0
#I Generator 2 --> 0 1 1 1 0 0
#I Group: [grp] #5;2 #17;2 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I 6 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .5 .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I [ .3, .2 ] = .6
#I [ .4, .2 ] = .5 .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1
#I Number of stabiliser generators is 2
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0
#I Group: [grp] #5;2 #18;2 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I 6 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .6
#I .3^2 = .6
#I .4^2 = .5 .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I [ .3, .2 ] = .6
#I [ .4, .2 ] = .5 .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1
#I Number of stabiliser generators is 3
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 1 1 0 0 0
#I Generator 2 --> 0 1 1 1 0 0
#I # of immediate descendants of order 2^6 is 11
#I # of capable immediate descendants is 10
#I Group: [grp] #5;2 #19;3 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I 6 is defined on [3, 2] = 2 1 2
#I 7 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .3^2 = .6
#I .4^2 = .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I [ .3, .2 ] = .6
#I [ .4, .2 ] = .5 .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 2
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 1 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 1
#I Group: [grp] #5;2 #20;3 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I 6 is defined on [3, 2] = 2 1 2
#I 7 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I [ .3, .2 ] = .6
#I [ .4, .2 ] = .5 .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 1
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Group: [grp] #5;2 #21;3 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I 6 is defined on [3, 2] = 2 1 2
#I 7 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .6
#I .3^2 = .6
#I .4^2 = .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I [ .3, .2 ] = .6
#I [ .4, .2 ] = .5 .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 2
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 1 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 1
#I # of immediate descendants of order 2^7 is 3
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #6;2
#I Order: 2^4
#I Nuclear rank: 2
#I 2-multiplicator rank: 3
#I Group: [grp] #6;2 #1;1 to lower exponent-2 central class 3 has order 2^5
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .3
#I .4^2 = .5
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 1
#I Generator 2 --> 0 1 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 1
#I Number of stabiliser generators is 2
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0
#I Generator 2 --> 0 1 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 1 1 0 0
#I Generator 2 --> 0 1 1 0 1
#I Group: [grp] #6;2 #2;1 to lower exponent-2 central class 3 has order 2^5
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .3
#I .3^2 = .5
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 1
#I Number of stabiliser generators is 3
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0
#I Generator 2 --> 0 1 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 0 1 0
#I Automorphism 3:
#I Generator 1 --> 1 1 1 0 0
#I Generator 2 --> 0 1 1 1 0
#I Group: [grp] #6;2 #3;1 to lower exponent-2 central class 3 has order 2^5
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .3 .5
#I .3^2 = .5
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 1
#I Number of stabiliser generators is 3
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0
#I Generator 2 --> 0 1 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 0 1 0
#I Automorphism 3:
#I Generator 1 --> 1 1 1 0 0
#I Generator 2 --> 0 1 1 1 0
#I Group: [grp] #6;2 #4;1 to lower exponent-2 central class 3 has order 2^5
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .3
#I .3^2 = .5
#I .4^2 = .5
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 1
#I Number of stabiliser generators is 2
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0
#I Generator 2 --> 0 1 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 1 1 0 0
#I Generator 2 --> 0 1 1 0 0
#I # of immediate descendants of order 2^5 is 4
#I # of capable immediate descendants is 3
#I Group: [grp] #6;2 #5;2 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I 6 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .3
#I .3^2 = .5
#I .4^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1
#I Number of stabiliser generators is 2
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 1 1 0 0 0
#I Generator 2 --> 0 1 1 0 1 1
#I Group: [grp] #6;2 #6;2 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I Class 3
#I 5 is defined on [3, 1] = 2 1 1
#I 6 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .3 .5
#I .3^2 = .5
#I .4^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1
#I Number of stabiliser generators is 2
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 1 1 0 0 0
#I Generator 2 --> 0 1 1 0 1 1
#I # of immediate descendants of order 2^6 is 2
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #7;3
#I Order: 2^5
#I Nuclear rank: 5
#I 2-multiplicator rank: 5
#I Group: [grp] #7;3 #1;1 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .4^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0
#I Generator 2 --> 0 1 1 1 0 0
#I Group: [grp] #7;3 #2;1 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .4, .2 ] = .6
#I [ .5, .1 ] = .6
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0
#I Automorphism 5:
#I Generator 1 --> 0 1 0 0 0 0
#I Generator 2 --> 1 0 0 0 0 0
#I Group: [grp] #7;3 #3;1 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .6
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .4, .2 ] = .6
#I [ .5, .1 ] = .6
#I Number of stabiliser generators is 6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0
#I Automorphism 5:
#I Generator 1 --> 0 1 0 0 0 0
#I Generator 2 --> 1 1 0 0 0 0
#I Automorphism 6:
#I Generator 1 --> 0 1 0 0 0 0
#I Generator 2 --> 1 0 0 0 0 0
#I Group: [grp] #7;3 #4;1 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .5, .1 ] = .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0
#I Group: [grp] #7;3 #5;1 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .5, .1 ] = .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0
#I Generator 2 --> 0 1 1 1 0 0
#I Group: [grp] #7;3 #6;1 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .6
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .5, .1 ] = .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0
#I Generator 2 --> 0 1 1 1 0 0
#I Group: [grp] #7;3 #7;1 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .6
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0
#I Generator 2 --> 0 1 1 1 0 0
#I Group: [grp] #7;3 #8;1 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .4^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .6
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0
#I Generator 2 --> 0 1 1 1 0 0
#I Group: [grp] #7;3 #9;1 to lower exponent-2 central class 3 has order 2^6
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .6
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0
#I # of immediate descendants of order 2^6 is 9
#I # of capable immediate descendants is 3
#I Group: [grp] #7;3 #10;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on 4^2 = 1 1 1
#I 7 is defined on 5^2 = 2 2 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .4^2 = .6
#I .5^2 = .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 0 1 0 0 0 0 0
#I Generator 2 --> 1 1 0 0 0 0 0
#I Automorphism 6:
#I Generator 1 --> 0 1 0 0 0 0 0
#I Generator 2 --> 1 0 0 0 0 0 0
#I Group: [grp] #7;3 #11;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [4, 2] = 1 1 2
#I 7 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .4, .2 ] = .6
#I [ .5, .1 ] = .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 1 0
#I Group: [grp] #7;3 #12;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [4, 2] = 1 1 2
#I 7 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .7
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .4, .2 ] = .6
#I [ .5, .1 ] = .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 1 0
#I Group: [grp] #7;3 #13;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .5, .1 ] = .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 0 0
#I Group: [grp] #7;3 #14;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .7
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .5, .1 ] = .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 0 0
#I Group: [grp] #7;3 #15;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .7
#I .5^2 = .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .5, .1 ] = .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Group: [grp] #7;3 #16;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .7
#I .5^2 = .6 .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .5, .1 ] = .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Group: [grp] #7;3 #17;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .4^2 = .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 0 0
#I Group: [grp] #7;3 #18;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .4^2 = .7
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 0 0
#I Group: [grp] #7;3 #19;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .4^2 = .7
#I .5^2 = .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Group: [grp] #7;3 #20;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .4^2 = .7
#I .5^2 = .6 .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Group: [grp] #7;3 #21;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Group: [grp] #7;3 #22;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .7
#I .4^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Group: [grp] #7;3 #23;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .7
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Group: [grp] #7;3 #24;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .7
#I .4^2 = .6
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Group: [grp] #7;3 #25;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .7
#I .5^2 = .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Group: [grp] #7;3 #26;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .7
#I .5^2 = .6 .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 0 0
#I Group: [grp] #7;3 #27;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .7
#I .4^2 = .6
#I .5^2 = .6 .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 0 0
#I Group: [grp] #7;3 #28;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .7
#I .4^2 = .7
#I .5^2 = .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Group: [grp] #7;3 #29;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .7
#I .4^2 = .7
#I .5^2 = .6 .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 0 0
#I Group: [grp] #7;3 #30;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .7
#I .4^2 = .6 .7
#I .5^2 = .6 .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 0 0
#I Group: [grp] #7;3 #31;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .6
#I [ .5, .1 ] = .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 0 1 0 0 0 0 0
#I Generator 2 --> 1 1 0 0 0 0 0
#I Automorphism 6:
#I Generator 1 --> 0 1 0 0 0 0 0
#I Generator 2 --> 1 0 0 0 0 0 0
#I Group: [grp] #7;3 #32;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .4^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .6
#I [ .5, .1 ] = .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Group: [grp] #7;3 #33;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .6
#I [ .5, .1 ] = .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 1 1 1 0 0 0 0
#I Group: [grp] #7;3 #34;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .4^2 = .7
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .6
#I [ .5, .1 ] = .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 0 1 0 0 0 0 0
#I Generator 2 --> 1 0 0 0 0 0 0
#I Group: [grp] #7;3 #35;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .4^2 = .6 .7
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .6
#I [ .5, .1 ] = .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 0 1 0 0 0 0 0
#I Generator 2 --> 1 1 0 0 0 0 0
#I Group: [grp] #7;3 #36;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .4^2 = .6
#I .5^2 = .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .6
#I [ .5, .1 ] = .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 0 1 0 0 0 0 0
#I Generator 2 --> 1 1 0 0 0 0 0
#I Automorphism 6:
#I Generator 1 --> 0 1 0 0 0 0 0
#I Generator 2 --> 1 0 0 0 0 0 0
#I Group: [grp] #7;3 #37;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Group: [grp] #7;3 #38;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .5^2 = .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 1 1 1 0 0 0 0
#I Group: [grp] #7;3 #39;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .5^2 = .6 .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 1 1 1 0 0 0 0
#I Group: [grp] #7;3 #40;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 1 1 1 0 0 0 0
#I Group: [grp] #7;3 #41;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .6
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 1 1 1 0 0 0 0
#I Group: [grp] #7;3 #42;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .6
#I .5^2 = .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Group: [grp] #7;3 #43;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Group: [grp] #7;3 #44;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .7
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Group: [grp] #7;3 #45;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .7
#I .5^2 = .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I Group: [grp] #7;3 #46;2 to lower exponent-2 central class 3 has order 2^7
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .7
#I .5^2 = .6 .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0
#I # of immediate descendants of order 2^7 is 37
#I # of capable immediate descendants is 28
#I Group: [grp] #7;3 #47;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [4, 2] = 1 1 2
#I 7 is defined on 4^2 = 1 1 1
#I 8 is defined on 5^2 = 2 2 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .7
#I .5^2 = .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .4, .2 ] = .6
#I [ .5, .1 ] = .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1
#I Number of stabiliser generators is 6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Automorphism 5:
#I Generator 1 --> 0 1 0 0 0 0 0 0
#I Generator 2 --> 1 1 0 0 0 0 0 0
#I Automorphism 6:
#I Generator 1 --> 0 1 0 0 0 0 0 0
#I Generator 2 --> 1 0 0 0 0 0 0 0
#I Group: [grp] #7;3 #48;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on 4^2 = 1 1 1
#I 8 is defined on 5^2 = 2 2 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .7
#I .5^2 = .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .5, .1 ] = .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Automorphism 5:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 0 0 0
#I Group: [grp] #7;3 #49;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on 4^2 = 1 1 1
#I 8 is defined on 5^2 = 2 2 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .4^2 = .7
#I .5^2 = .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 0 0 0
#I Group: [grp] #7;3 #50;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [4, 2] = 1 1 2
#I 8 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .7
#I .4^2 = .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 0 0 0
#I Group: [grp] #7;3 #51;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [4, 2] = 1 1 2
#I 8 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .7
#I .4^2 = .8
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 0 0 0
#I Group: [grp] #7;3 #52;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [4, 2] = 1 1 2
#I 8 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .7
#I .4^2 = .8
#I .5^2 = .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 0 0 0
#I Group: [grp] #7;3 #53;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [4, 2] = 1 1 2
#I 8 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .7
#I .4^2 = .8
#I .5^2 = .6 .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 0 0 0
#I Group: [grp] #7;3 #54;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [4, 2] = 1 1 2
#I 8 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .7
#I .4^2 = .8
#I .5^2 = .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Group: [grp] #7;3 #55;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [4, 2] = 1 1 2
#I 8 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .7
#I .4^2 = .8
#I .5^2 = .6 .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Group: [grp] #7;3 #56;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [4, 2] = 1 1 2
#I 8 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .7
#I .4^2 = .8
#I .5^2 = .7 .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Group: [grp] #7;3 #57;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [4, 2] = 1 1 2
#I 8 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .7
#I .4^2 = .8
#I .5^2 = .6 .7 .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Group: [grp] #7;3 #58;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .4^2 = .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .6
#I [ .5, .1 ] = .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 1 0 0
#I Group: [grp] #7;3 #59;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .4^2 = .8
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .6
#I [ .5, .1 ] = .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Group: [grp] #7;3 #60;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .4^2 = .8
#I .5^2 = .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .6
#I [ .5, .1 ] = .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 1 0 0
#I Group: [grp] #7;3 #61;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Automorphism 5:
#I Generator 1 --> 0 1 0 0 0 0 0 0
#I Generator 2 --> 1 0 0 0 0 0 0 0
#I Group: [grp] #7;3 #62;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .4^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Group: [grp] #7;3 #63;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Group: [grp] #7;3 #64;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .4^2 = .6
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Group: [grp] #7;3 #65;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .4^2 = .6 .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Group: [grp] #7;3 #66;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .4^2 = .7
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Automorphism 5:
#I Generator 1 --> 0 1 0 0 0 0 0 0
#I Generator 2 --> 1 0 0 0 0 0 0 0
#I Group: [grp] #7;3 #67;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .4^2 = .6 .7
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Group: [grp] #7;3 #68;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .4^2 = .6
#I .5^2 = .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Automorphism 5:
#I Generator 1 --> 0 1 0 0 0 0 0 0
#I Generator 2 --> 1 0 0 0 0 0 0 0
#I Group: [grp] #7;3 #69;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .4^2 = .6
#I .5^2 = .6 .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Group: [grp] #7;3 #70;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .4^2 = .6 .7
#I .5^2 = .6 .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Automorphism 5:
#I Generator 1 --> 0 1 0 0 0 0 0 0
#I Generator 2 --> 1 0 0 0 0 0 0 0
#I Group: [grp] #7;3 #71;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .4^2 = .8
#I .5^2 = .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Group: [grp] #7;3 #72;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .4^2 = .6 .8
#I .5^2 = .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Automorphism 5:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 1 1 1 0 0 0 0 0
#I Group: [grp] #7;3 #73;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .4^2 = .6 .8
#I .5^2 = .6 .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Number of stabiliser generators is 6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Automorphism 5:
#I Generator 1 --> 0 1 0 0 0 0 0 0
#I Generator 2 --> 1 1 0 0 0 0 0 0
#I Automorphism 6:
#I Generator 1 --> 0 1 0 0 0 0 0 0
#I Generator 2 --> 1 0 0 0 0 0 0 0
#I Group: [grp] #7;3 #74;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .4^2 = .7 .8
#I .5^2 = .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Automorphism 5:
#I Generator 1 --> 0 1 0 0 0 0 0 0
#I Generator 2 --> 1 1 0 0 0 0 0 0
#I Group: [grp] #7;3 #75;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .4^2 = .6 .7 .8
#I .5^2 = .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Automorphism 5:
#I Generator 1 --> 0 1 0 0 0 0 0 0
#I Generator 2 --> 1 0 0 0 0 0 0 0
#I Group: [grp] #7;3 #76;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .4^2 = .8
#I .5^2 = .6 .7 .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Number of stabiliser generators is 6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Automorphism 5:
#I Generator 1 --> 0 1 0 0 0 0 0 0
#I Generator 2 --> 1 1 0 0 0 0 0 0
#I Automorphism 6:
#I Generator 1 --> 0 1 0 0 0 0 0 0
#I Generator 2 --> 1 0 0 0 0 0 0 0
#I Group: [grp] #7;3 #77;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on 5^2 = 2 2 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .5^2 = .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Automorphism 5:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 1 1 1 0 0 0 0 0
#I Group: [grp] #7;3 #78;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on 5^2 = 2 2 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .6
#I .5^2 = .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Automorphism 5:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 1 1 1 0 0 0 0 0
#I Group: [grp] #7;3 #79;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on 5^2 = 2 2 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .7
#I .5^2 = .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Group: [grp] #7;3 #80;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Group: [grp] #7;3 #81;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .8
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Group: [grp] #7;3 #82;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .8
#I .5^2 = .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I Group: [grp] #7;3 #83;3 to lower exponent-2 central class 3 has order 2^8
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .8
#I .5^2 = .6 .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0
#I # of immediate descendants of order 2^8 is 37
#I # of capable immediate descendants is 37
#I Group: [grp] #7;3 #84;4 to lower exponent-2 central class 3 has order 2^9
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [4, 2] = 1 1 2
#I 8 is defined on 4^2 = 1 1 1
#I 9 is defined on 5^2 = 2 2 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .7
#I .4^2 = .8
#I .5^2 = .9
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .4, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1 0
#I Automorphism 5:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 0 0 0 0
#I Group: [grp] #7;3 #85;4 to lower exponent-2 central class 3 has order 2^9
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on 4^2 = 1 1 1
#I 9 is defined on 5^2 = 2 2 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .4^2 = .8
#I .5^2 = .9
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .6
#I [ .5, .1 ] = .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1 0
#I Automorphism 5:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 1
#I Number of stabiliser generators is 6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0 0
#I Automorphism 5:
#I Generator 1 --> 0 1 0 0 0 0 0 0 0
#I Generator 2 --> 1 1 0 0 0 0 0 0 0
#I Automorphism 6:
#I Generator 1 --> 0 1 0 0 0 0 0 0 0
#I Generator 2 --> 1 0 0 0 0 0 0 0 0
#I Group: [grp] #7;3 #86;4 to lower exponent-2 central class 3 has order 2^9
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I 9 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .4^2 = .9
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 0 0 1 0
#I Group: [grp] #7;3 #87;4 to lower exponent-2 central class 3 has order 2^9
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I 9 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .4^2 = .9
#I .5^2 = .6
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0 0
#I Group: [grp] #7;3 #88;4 to lower exponent-2 central class 3 has order 2^9
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I 9 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .4^2 = .9
#I .5^2 = .7
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 0 0 1 0
#I Group: [grp] #7;3 #89;4 to lower exponent-2 central class 3 has order 2^9
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I 9 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .4^2 = .9
#I .5^2 = .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 1
#I Number of stabiliser generators is 4
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0 0
#I Group: [grp] #7;3 #90;4 to lower exponent-2 central class 3 has order 2^9
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I 9 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .4^2 = .9
#I .5^2 = .6 .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 0 0 1 0
#I Group: [grp] #7;3 #91;4 to lower exponent-2 central class 3 has order 2^9
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I 9 is defined on 4^2 = 1 1 1
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .4^2 = .9
#I .5^2 = .6 .7 .8
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0 0
#I Automorphism 5:
#I Generator 1 --> 1 1 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 1 1 0 0 0 1 0
#I Group: [grp] #7;3 #92;4 to lower exponent-2 central class 3 has order 2^9
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on 4^2 = 1 1 1
#I 9 is defined on 5^2 = 2 2 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6
#I .4^2 = .8
#I .5^2 = .9
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .5, .1 ] = .6 .7
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0 0
#I Automorphism 5:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 1 0
#I Automorphism 6:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 1
#I Number of stabiliser generators is 5
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0 0
#I Automorphism 5:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 1 1 1 0 0 0 0 0 0
#I # of immediate descendants of order 2^9 is 9
#I # of capable immediate descendants is 9
#I Group: [grp] #7;3 #93;5 to lower exponent-2 central class 3 has order 2^10
#I Class 1
#I 1 is defined on image of defining generator 1
#I 2 is defined on image of defining generator 2
#I Class 2
#I 3 is defined on [2, 1] = 2 1
#I 4 is defined on 1^2 = 1 1
#I 5 is defined on 2^2 = 2 2
#I Class 3
#I 6 is defined on [3, 1] = 2 1 1
#I 7 is defined on [3, 2] = 2 1 2
#I 8 is defined on [4, 2] = 1 1 2
#I 9 is defined on 4^2 = 1 1 1
#I 10 is defined on 5^2 = 2 2 2
#I Non-trivial powers:
#I .1^2 = .4
#I .2^2 = .5
#I .3^2 = .6 .8
#I .4^2 = .9
#I .5^2 = .10
#I Non-trivial commutators:
#I [ .2, .1 ] = .3
#I [ .3, .1 ] = .6
#I [ .3, .2 ] = .7
#I [ .4, .2 ] = .8
#I [ .5, .1 ] = .6 .7 .8
#I Automorphism 1:
#I Generator 1 --> 1 0 0 0 0 0 0 1 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 0 0 0 0 1 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0 1
#I Generator 2 --> 0 1 0 0 0 0 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 1 0 0 0 0
#I Automorphism 5:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 1 0 0 0
#I Automorphism 6:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 1 0
#I Automorphism 7:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0 1
#I Number of stabiliser generators is 6
#I Automorphism 1:
#I Generator 1 --> 1 0 0 1 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0 0
#I Automorphism 2:
#I Generator 1 --> 1 0 0 0 1 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 0 0 0 0 0 0
#I Automorphism 3:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 1 0 0 0 0 0 0
#I Automorphism 4:
#I Generator 1 --> 1 0 0 0 0 0 0 0 0 0
#I Generator 2 --> 0 1 0 0 1 0 0 0 0 0
#I Automorphism 5:
#I Generator 1 --> 0 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 1 1 0 0 0 0 0 0 0 0
#I Automorphism 6:
#I Generator 1 --> 0 1 0 0 0 0 0 0 0 0
#I Generator 2 --> 1 0 0 0 0 0 0 0 0 0
#I # of immediate descendants of order 2^10 is 1
#I # of capable immediate descendants is 1
#I **************************************************
136
gap> ##Example: "2gp-PG-3-i" . . . based on: examples/pga_3-2.com
gap> ##All descendants of C2 x C2 x C2
gap> F := FreeGroup("a", "b", "c");
<free group on the generators [ a, b, c ]>
gap> procId := PqStart(F : Prime := 2);
2
gap> PqPcPresentation(procId : ClassBound := 1,
> OutputLevel := 1);
#I Lower exponent-2 central series for [grp]
#I Group: [grp] to lower exponent-2 central class 1 has order 2^3
gap> PqComputePCover(procId);
#I Group: [grp] to lower exponent-2 central class 2 has order 2^9
gap> PqPGSupplyAutomorphisms(procId, [ [[1,1,0],
> [0,1,0],
> [0,0,1]],
>
> [[0,0,1],
> [1,0,0],
> [0,1,0]] ]);
gap> PqPGConstructDescendants(procId : ClassBound := 5,
> OrderBound := 7,
> BasicAlgorithm);
#I **************************************************
#I Starting group: [grp]
#I Order: 2^3
#I Nuclear rank: 6
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^4 is 4
#I # of capable immediate descendants is 2
#I # of immediate descendants of order 2^5 is 15
#I # of capable immediate descendants is 13
#I # of immediate descendants of order 2^6 is 28
#I # of capable immediate descendants is 28
#I # of immediate descendants of order 2^7 is 15
#I # of capable immediate descendants is 15
#I **************************************************
#I **************************************************
#I Starting group: [grp] #1;1
#I Order: 2^4
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^5 is 3
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #2;1
#I Order: 2^4
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^5 is 6
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #5;2
#I Order: 2^5
#I Nuclear rank: 2
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^6 is 4
#I # of capable immediate descendants is 2
#I # of immediate descendants of order 2^7 is 9
#I # of capable immediate descendants is 6
#I **************************************************
#I Starting group: [grp] #6;2
#I Order: 2^5
#I Nuclear rank: 3
#I 2-multiplicator rank: 7
#I # of immediate descendants of order 2^6 is 16
#I # of capable immediate descendants is 3
#I # of immediate descendants of order 2^7 is 106
#I # of capable immediate descendants is 54
#I **************************************************
#I Starting group: [grp] #7;2
#I Order: 2^5
#I Nuclear rank: 2
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^6 is 9
#I # of capable immediate descendants is 3
#I # of immediate descendants of order 2^7 is 13
#I # of capable immediate descendants is 9
#I **************************************************
#I Starting group: [grp] #8;2
#I Order: 2^5
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I # of immediate descendants of order 2^6 is 3
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #9;2
#I Order: 2^5
#I Nuclear rank: 2
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^6 is 11
#I # of capable immediate descendants is 3
#I # of immediate descendants of order 2^7 is 20
#I # of capable immediate descendants is 10
#I **************************************************
#I Starting group: [grp] #10;2
#I Order: 2^5
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I # of immediate descendants of order 2^6 is 2
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #11;2
#I Order: 2^5
#I Nuclear rank: 3
#I 2-multiplicator rank: 7
#I # of immediate descendants of order 2^6 is 12
#I # of capable immediate descendants is 2
#I # of immediate descendants of order 2^7 is 70
#I # of capable immediate descendants is 25
#I **************************************************
#I Starting group: [grp] #12;2
#I Order: 2^5
#I Nuclear rank: 2
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^6 is 15
#I # of capable immediate descendants is 2
#I # of immediate descendants of order 2^7 is 40
#I # of capable immediate descendants is 13
#I **************************************************
#I Starting group: [grp] #13;2
#I Order: 2^5
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I # of immediate descendants of order 2^6 is 6
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #14;2
#I Order: 2^5
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I # of immediate descendants of order 2^6 is 6
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #15;2
#I Order: 2^5
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I # of immediate descendants of order 2^6 is 6
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #18;2
#I Order: 2^5
#I Nuclear rank: 2
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^6 is 6
#I # of capable immediate descendants is 1
#I # of immediate descendants of order 2^7 is 19
#I # of capable immediate descendants is 6
#I **************************************************
#I Starting group: [grp] #19;2
#I Order: 2^5
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I # of immediate descendants of order 2^6 is 4
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #20;3
#I Order: 2^6
#I Nuclear rank: 3
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 3
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #21;3
#I Order: 2^6
#I Nuclear rank: 5
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^7 is 17
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #22;3
#I Order: 2^6
#I Nuclear rank: 3
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 4
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #23;3
#I Order: 2^6
#I Nuclear rank: 4
#I 2-multiplicator rank: 7
#I # of immediate descendants of order 2^7 is 18
#I # of capable immediate descendants is 7
#I **************************************************
#I Starting group: [grp] #24;3
#I Order: 2^6
#I Nuclear rank: 3
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 13
#I # of capable immediate descendants is 7
#I **************************************************
#I Starting group: [grp] #25;3
#I Order: 2^6
#I Nuclear rank: 6
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 18
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #26;3
#I Order: 2^6
#I Nuclear rank: 4
#I 2-multiplicator rank: 7
#I # of immediate descendants of order 2^7 is 20
#I # of capable immediate descendants is 6
#I **************************************************
#I Starting group: [grp] #27;3
#I Order: 2^6
#I Nuclear rank: 4
#I 2-multiplicator rank: 7
#I # of immediate descendants of order 2^7 is 14
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #28;3
#I Order: 2^6
#I Nuclear rank: 3
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 8
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #29;3
#I Order: 2^6
#I Nuclear rank: 3
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 3
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #30;3
#I Order: 2^6
#I Nuclear rank: 3
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 8
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #31;3
#I Order: 2^6
#I Nuclear rank: 4
#I 2-multiplicator rank: 7
#I # of immediate descendants of order 2^7 is 19
#I # of capable immediate descendants is 6
#I **************************************************
#I Starting group: [grp] #32;3
#I Order: 2^6
#I Nuclear rank: 5
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^7 is 47
#I # of capable immediate descendants is 6
#I **************************************************
#I Starting group: [grp] #33;3
#I Order: 2^6
#I Nuclear rank: 2
#I 2-multiplicator rank: 5
#I # of immediate descendants of order 2^7 is 7
#I # of capable immediate descendants is 6
#I **************************************************
#I Starting group: [grp] #34;3
#I Order: 2^6
#I Nuclear rank: 3
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 16
#I # of capable immediate descendants is 6
#I **************************************************
#I Starting group: [grp] #35;3
#I Order: 2^6
#I Nuclear rank: 3
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 15
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #36;3
#I Order: 2^6
#I Nuclear rank: 4
#I 2-multiplicator rank: 7
#I # of immediate descendants of order 2^7 is 30
#I # of capable immediate descendants is 8
#I **************************************************
#I Starting group: [grp] #37;3
#I Order: 2^6
#I Nuclear rank: 3
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 15
#I # of capable immediate descendants is 7
#I **************************************************
#I Starting group: [grp] #38;3
#I Order: 2^6
#I Nuclear rank: 5
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^7 is 24
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #39;3
#I Order: 2^6
#I Nuclear rank: 4
#I 2-multiplicator rank: 7
#I # of immediate descendants of order 2^7 is 10
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #40;3
#I Order: 2^6
#I Nuclear rank: 4
#I 2-multiplicator rank: 7
#I # of immediate descendants of order 2^7 is 24
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #41;3
#I Order: 2^6
#I Nuclear rank: 3
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 6
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #42;3
#I Order: 2^6
#I Nuclear rank: 3
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 8
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #43;3
#I Order: 2^6
#I Nuclear rank: 3
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 12
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #44;3
#I Order: 2^6
#I Nuclear rank: 2
#I 2-multiplicator rank: 5
#I # of immediate descendants of order 2^7 is 8
#I # of capable immediate descendants is 6
#I **************************************************
#I Starting group: [grp] #45;3
#I Order: 2^6
#I Nuclear rank: 3
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 8
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #46;3
#I Order: 2^6
#I Nuclear rank: 2
#I 2-multiplicator rank: 5
#I # of immediate descendants of order 2^7 is 5
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #47;3
#I Order: 2^6
#I Nuclear rank: 2
#I 2-multiplicator rank: 5
#I # of immediate descendants of order 2^7 is 1
#I **************************************************
#I Starting group: [grp] #48;4
#I Order: 2^7
#I Nuclear rank: 6
#I 2-multiplicator rank: 8
#I Group [grp] #48;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #49;4
#I Order: 2^7
#I Nuclear rank: 8
#I 2-multiplicator rank: 10
#I Group [grp] #49;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #50;4
#I Order: 2^7
#I Nuclear rank: 6
#I 2-multiplicator rank: 8
#I Group [grp] #50;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #51;4
#I Order: 2^7
#I Nuclear rank: 6
#I 2-multiplicator rank: 8
#I Group [grp] #51;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #52;4
#I Order: 2^7
#I Nuclear rank: 6
#I 2-multiplicator rank: 8
#I Group [grp] #52;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #53;4
#I Order: 2^7
#I Nuclear rank: 7
#I 2-multiplicator rank: 9
#I Group [grp] #53;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #54;4
#I Order: 2^7
#I Nuclear rank: 8
#I 2-multiplicator rank: 10
#I Group [grp] #54;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #55;4
#I Order: 2^7
#I Nuclear rank: 7
#I 2-multiplicator rank: 9
#I Group [grp] #55;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #56;4
#I Order: 2^7
#I Nuclear rank: 7
#I 2-multiplicator rank: 9
#I Group [grp] #56;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #57;4
#I Order: 2^7
#I Nuclear rank: 6
#I 2-multiplicator rank: 8
#I Group [grp] #57;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #58;4
#I Order: 2^7
#I Nuclear rank: 6
#I 2-multiplicator rank: 8
#I Group [grp] #58;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #59;4
#I Order: 2^7
#I Nuclear rank: 6
#I 2-multiplicator rank: 8
#I Group [grp] #59;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #60;4
#I Order: 2^7
#I Nuclear rank: 6
#I 2-multiplicator rank: 8
#I Group [grp] #60;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #61;4
#I Order: 2^7
#I Nuclear rank: 6
#I 2-multiplicator rank: 8
#I Group [grp] #61;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #62;4
#I Order: 2^7
#I Nuclear rank: 7
#I 2-multiplicator rank: 9
#I Group [grp] #62;4 is an invalid starting group
#I **************************************************
#I **************************************************
#I Starting group: [grp] #1;1 #1;1
#I Order: 2^5
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^6 is 3
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #2;1 #1;1
#I Order: 2^5
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^6 is 6
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #5;2 #1;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 4
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #5;2 #2;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 2
#I **************************************************
#I Starting group: [grp] #5;2 #5;2
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 6
#I Group [grp] #5;2 #5;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #5;2 #6;2
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 6
#I Group [grp] #5;2 #6;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #5;2 #7;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #5;2 #7;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #5;2 #8;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #5;2 #8;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #5;2 #9;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #5;2 #9;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #5;2 #10;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #5;2 #10;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #1;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I # of immediate descendants of order 2^7 is 7
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #6;2 #4;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I # of immediate descendants of order 2^7 is 18
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #6;2 #9;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I # of immediate descendants of order 2^7 is 13
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #6;2 #17;2
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 7
#I Group [grp] #6;2 #17;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #18;2
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 7
#I Group [grp] #6;2 #18;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #19;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #19;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #20;2
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 7
#I Group [grp] #6;2 #20;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #21;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #21;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #22;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #22;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #23;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #23;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #24;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #24;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #25;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #25;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #26;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #26;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #27;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #27;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #28;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #28;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #29;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #29;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #32;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #32;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #33;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #33;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #35;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #35;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #43;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #43;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #46;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #46;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #51;2
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 7
#I Group [grp] #6;2 #51;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #52;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #52;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #53;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #53;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #54;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #54;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #58;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #58;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #59;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #59;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #60;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #60;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #64;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #64;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #68;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #68;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #71;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #71;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #75;2
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 7
#I Group [grp] #6;2 #75;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #76;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #76;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #77;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #77;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #78;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #78;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #79;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #79;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #80;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #80;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #81;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #81;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #87;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #87;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #91;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #91;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #93;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #93;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #99;2
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 7
#I Group [grp] #6;2 #99;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #100;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #100;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #102;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #102;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #103;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #103;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #105;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #105;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #106;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #106;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #108;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #108;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #109;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #109;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #111;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #111;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #112;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #112;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #114;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #114;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #115;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #115;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #117;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #117;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #118;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #118;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #120;2
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 7
#I Group [grp] #6;2 #120;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #121;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #6;2 #121;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #7;2 #1;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 5
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #7;2 #4;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 2
#I **************************************************
#I Starting group: [grp] #7;2 #5;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 6
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #7;2 #10;2
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 6
#I Group [grp] #7;2 #10;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #7;2 #11;2
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 6
#I Group [grp] #7;2 #11;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #7;2 #12;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #7;2 #12;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #7;2 #13;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #7;2 #13;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #7;2 #14;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #7;2 #14;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #7;2 #15;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #7;2 #15;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #7;2 #16;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #7;2 #16;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #7;2 #18;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #7;2 #18;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #7;2 #19;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #7;2 #19;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #8;2 #1;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I # of immediate descendants of order 2^7 is 3
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #8;2 #2;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I # of immediate descendants of order 2^7 is 2
#I **************************************************
#I Starting group: [grp] #9;2 #1;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 5
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #9;2 #3;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 8
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #9;2 #8;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 2
#I **************************************************
#I Starting group: [grp] #9;2 #12;2
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 6
#I Group [grp] #9;2 #12;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #9;2 #13;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #9;2 #13;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #9;2 #14;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #9;2 #14;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #9;2 #15;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #9;2 #15;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #9;2 #16;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #9;2 #16;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #9;2 #17;2
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 6
#I Group [grp] #9;2 #17;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #9;2 #18;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #9;2 #18;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #9;2 #23;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #9;2 #23;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #9;2 #24;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #9;2 #24;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #9;2 #29;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #9;2 #29;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #10;2 #1;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I # of immediate descendants of order 2^7 is 2
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #11;2 #1;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I # of immediate descendants of order 2^7 is 12
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #11;2 #11;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I # of immediate descendants of order 2^7 is 10
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #11;2 #13;2
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 7
#I Group [grp] #11;2 #13;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #14;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #14;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #15;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #15;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #16;2
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 7
#I Group [grp] #11;2 #16;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #17;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #17;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #18;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #18;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #19;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #19;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #20;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #20;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #21;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #21;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #22;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #22;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #23;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #23;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #24;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #24;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #25;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #25;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #28;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #28;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #31;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #31;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #34;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #34;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #41;2
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 7
#I Group [grp] #11;2 #41;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #43;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #43;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #47;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #47;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #49;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #49;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #51;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #51;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #61;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #61;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #63;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #63;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #69;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #69;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #71;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #11;2 #71;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #12;2 #1;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 9
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #12;2 #8;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 9
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #12;2 #16;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #12;2 #16;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #12;2 #18;2
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 6
#I Group [grp] #12;2 #18;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #12;2 #19;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #12;2 #19;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #12;2 #20;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #12;2 #20;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #12;2 #24;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #12;2 #24;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #12;2 #25;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #12;2 #25;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #12;2 #26;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #12;2 #26;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #12;2 #28;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #12;2 #28;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #12;2 #32;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #12;2 #32;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #12;2 #33;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #12;2 #33;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #12;2 #36;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #12;2 #36;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #12;2 #38;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #12;2 #38;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #12;2 #40;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #12;2 #40;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #13;2 #1;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I # of immediate descendants of order 2^7 is 6
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #13;2 #3;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I # of immediate descendants of order 2^7 is 2
#I **************************************************
#I Starting group: [grp] #14;2 #1;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I # of immediate descendants of order 2^7 is 6
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #14;2 #2;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I # of immediate descendants of order 2^7 is 2
#I **************************************************
#I Starting group: [grp] #15;2 #1;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I # of immediate descendants of order 2^7 is 6
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #18;2 #2;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 6
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #18;2 #8;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #18;2 #8;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #18;2 #11;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #18;2 #11;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #18;2 #14;2
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 6
#I Group [grp] #18;2 #14;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #18;2 #15;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #18;2 #15;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #18;2 #23;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #18;2 #23;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #18;2 #24;2
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #18;2 #24;2 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #19;2 #3;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I # of immediate descendants of order 2^7 is 4
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #20;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #20;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #20;3 #2;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #20;3 #2;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #20;3 #3;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #20;3 #3;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #21;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I Group [grp] #21;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #21;3 #6;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I Group [grp] #21;3 #6;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #21;3 #11;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I Group [grp] #21;3 #11;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #22;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #22;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #22;3 #2;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #22;3 #2;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #22;3 #3;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #22;3 #3;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #23;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #23;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #23;3 #2;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #23;3 #2;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #23;3 #4;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #23;3 #4;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #23;3 #5;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #23;3 #5;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #23;3 #7;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #23;3 #7;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #23;3 #13;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #23;3 #13;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #23;3 #15;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #23;3 #15;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #24;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #24;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #24;3 #2;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #24;3 #2;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #24;3 #4;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #24;3 #4;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #24;3 #5;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #24;3 #5;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #24;3 #9;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #24;3 #9;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #24;3 #10;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #24;3 #10;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #24;3 #11;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #24;3 #11;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #25;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I Group [grp] #25;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #25;3 #3;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I Group [grp] #25;3 #3;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #25;3 #4;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I Group [grp] #25;3 #4;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #25;3 #8;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I Group [grp] #25;3 #8;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #25;3 #12;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I Group [grp] #25;3 #12;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #26;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #26;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #26;3 #3;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #26;3 #3;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #26;3 #6;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #26;3 #6;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #26;3 #8;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #26;3 #8;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #26;3 #11;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #26;3 #11;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #26;3 #12;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #26;3 #12;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #27;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #27;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #27;3 #3;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #27;3 #3;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #27;3 #4;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #27;3 #4;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #27;3 #7;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #27;3 #7;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #27;3 #8;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #27;3 #8;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #28;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #28;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #28;3 #2;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #28;3 #2;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #28;3 #3;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #28;3 #3;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #28;3 #4;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #28;3 #4;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #29;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #29;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #30;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #30;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #30;3 #2;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #30;3 #2;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #30;3 #3;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #30;3 #3;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #30;3 #4;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #30;3 #4;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #30;3 #5;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #30;3 #5;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #31;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #31;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #31;3 #3;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #31;3 #3;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #31;3 #4;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #31;3 #4;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #31;3 #10;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #31;3 #10;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #31;3 #15;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #31;3 #15;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #31;3 #17;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #31;3 #17;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #32;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I Group [grp] #32;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #32;3 #6;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I Group [grp] #32;3 #6;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #32;3 #11;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I Group [grp] #32;3 #11;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #32;3 #21;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I Group [grp] #32;3 #21;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #32;3 #25;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I Group [grp] #32;3 #25;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #32;3 #30;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I Group [grp] #32;3 #30;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #33;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #33;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #33;3 #2;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #33;3 #2;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #33;3 #3;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #33;3 #3;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #33;3 #4;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #33;3 #4;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #33;3 #5;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #33;3 #5;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #33;3 #6;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #33;3 #6;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #34;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #34;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #34;3 #2;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #34;3 #2;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #34;3 #3;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #34;3 #3;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #34;3 #4;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #34;3 #4;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #34;3 #12;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #34;3 #12;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #34;3 #14;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #34;3 #14;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #35;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #35;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #35;3 #4;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #35;3 #4;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #35;3 #5;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #35;3 #5;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #35;3 #9;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #35;3 #9;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #35;3 #10;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #35;3 #10;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #36;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #36;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #36;3 #2;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #36;3 #2;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #36;3 #4;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #36;3 #4;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #36;3 #8;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #36;3 #8;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #36;3 #11;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #36;3 #11;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #36;3 #17;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #36;3 #17;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #36;3 #19;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #36;3 #19;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #36;3 #29;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #36;3 #29;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #37;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #37;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #37;3 #2;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #37;3 #2;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #37;3 #4;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #37;3 #4;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #37;3 #5;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #37;3 #5;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #37;3 #7;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #37;3 #7;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #37;3 #10;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #37;3 #10;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #37;3 #13;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #37;3 #13;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #38;3 #5;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I Group [grp] #38;3 #5;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #38;3 #7;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I Group [grp] #38;3 #7;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #38;3 #13;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I Group [grp] #38;3 #13;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #39;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #39;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #39;3 #7;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #39;3 #7;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #40;3 #3;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #40;3 #3;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #40;3 #6;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #40;3 #6;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #40;3 #12;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #40;3 #12;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #40;3 #15;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #40;3 #15;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #40;3 #16;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #40;3 #16;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #41;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #41;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #41;3 #2;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #41;3 #2;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #41;3 #6;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #41;3 #6;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #42;3 #5;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #42;3 #5;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #42;3 #7;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #42;3 #7;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #43;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #43;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #43;3 #3;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #43;3 #3;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #43;3 #5;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #43;3 #5;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #43;3 #6;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #43;3 #6;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #43;3 #7;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #43;3 #7;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #44;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #44;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #44;3 #2;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #44;3 #2;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #44;3 #3;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #44;3 #3;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #44;3 #4;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #44;3 #4;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #44;3 #5;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #44;3 #5;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #44;3 #6;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #44;3 #6;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #45;3 #2;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #45;3 #2;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #45;3 #3;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #45;3 #3;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #45;3 #4;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #45;3 #4;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #46;3 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #46;3 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #46;3 #2;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #46;3 #2;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #46;3 #3;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #46;3 #3;1 is an invalid starting group
#I **************************************************
#I **************************************************
#I Starting group: [grp] #1;1 #1;1 #1;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 3
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #2;1 #1;1 #1;1
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I # of immediate descendants of order 2^7 is 6
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #5;2 #1;1 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #5;2 #1;1 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #5;2 #1;1 #2;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #5;2 #1;1 #2;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #1;1 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #6;2 #1;1 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #4;1 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #6;2 #4;1 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #4;1 #2;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #6;2 #4;1 #2;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #4;1 #4;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #6;2 #4;1 #4;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #4;1 #13;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #6;2 #4;1 #13;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #6;2 #9;1 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #6;2 #9;1 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #7;2 #1;1 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #7;2 #1;1 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #7;2 #5;1 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #7;2 #5;1 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #7;2 #5;1 #2;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #7;2 #5;1 #2;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #8;2 #1;1 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #8;2 #1;1 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #8;2 #1;1 #2;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #8;2 #1;1 #2;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #9;2 #1;1 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #9;2 #1;1 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #9;2 #3;1 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #9;2 #3;1 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #9;2 #3;1 #6;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #9;2 #3;1 #6;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #10;2 #1;1 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #10;2 #1;1 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #1;1 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #11;2 #1;1 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #11;2 #11;1 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #11;2 #11;1 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #12;2 #1;1 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #12;2 #1;1 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #12;2 #8;1 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #12;2 #8;1 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #13;2 #1;1 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #13;2 #1;1 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #13;2 #1;1 #3;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #13;2 #1;1 #3;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #14;2 #1;1 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #14;2 #1;1 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #14;2 #1;1 #2;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #14;2 #1;1 #2;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #15;2 #1;1 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #15;2 #1;1 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #18;2 #2;1 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 6
#I Group [grp] #18;2 #2;1 #1;1 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #19;2 #3;1 #1;1
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 5
#I Group [grp] #19;2 #3;1 #1;1 is an invalid starting group
#I **************************************************
365
gap> ##Example: "2gp-PG-4-i" . . . based on: examples/pga_4-2.com
gap> ##All descendants of C2 x C2 x C2 x C2
gap> F := FreeGroup("a", "b", "c", "d");
<free group on the generators [ a, b, c, d ]>
gap> procId := PqStart(F : Prime := 2);
3
gap> PqPcPresentation(procId : ClassBound := 1,
> OutputLevel := 1);
#I Lower exponent-2 central series for [grp]
#I Group: [grp] to lower exponent-2 central class 1 has order 2^4
gap> PqComputePCover(procId);
#I Group: [grp] to lower exponent-2 central class 2 has order 2^14
gap> PqPGSupplyAutomorphisms(procId, [ [[1,1,0,0],
> [0,1,0,0],
> [0,0,1,0],
> [0,0,0,1]],
>
> [[0,0,0,1],
> [1,0,0,0],
> [0,1,0,0],
> [0,0,1,0]] ]);
gap> PqPGConstructDescendants(procId : ClassBound := 4,
> OrderBound := 8,
> BasicAlgorithm);
#I **************************************************
#I Starting group: [grp]
#I Order: 2^4
#I Nuclear rank: 10
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^5 is 6
#I # of capable immediate descendants is 2
#I # of immediate descendants of order 2^6 is 54
#I # of capable immediate descendants is 29
#I # of immediate descendants of order 2^7 is 604
#I # of capable immediate descendants is 439
#I # of immediate descendants of order 2^8 is 3566
#I # of capable immediate descendants is 3458
#I **************************************************
#I **************************************************
#I Starting group: [grp] #1;1
#I Order: 2^5
#I Nuclear rank: 1
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^6 is 4
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #2;1
#I Order: 2^5
#I Nuclear rank: 1
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^6 is 10
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #7;2
#I Order: 2^6
#I Nuclear rank: 2
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^7 is 7
#I # of capable immediate descendants is 2
#I # of immediate descendants of order 2^8 is 33
#I # of capable immediate descendants is 11
#I **************************************************
#I Starting group: [grp] #8;2
#I Order: 2^6
#I Nuclear rank: 3
#I 2-multiplicator rank: 11
#I # of immediate descendants of order 2^7 is 26
#I # of capable immediate descendants is 3
#I # of immediate descendants of order 2^8 is 440
#I # of capable immediate descendants is 96
#I **************************************************
#I Starting group: [grp] #9;2
#I Order: 2^6
#I Nuclear rank: 2
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^7 is 15
#I # of capable immediate descendants is 3
#I # of immediate descendants of order 2^8 is 59
#I # of capable immediate descendants is 16
#I **************************************************
#I Starting group: [grp] #10;2
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 9
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #11;2
#I Order: 2^6
#I Nuclear rank: 2
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^7 is 32
#I # of capable immediate descendants is 3
#I # of immediate descendants of order 2^8 is 252
#I # of capable immediate descendants is 35
#I **************************************************
#I Starting group: [grp] #12;2
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 6
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #13;2
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 8
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #14;2
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 10
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #15;2
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 6
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #16;2
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 8
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #17;2
#I Order: 2^6
#I Nuclear rank: 3
#I 2-multiplicator rank: 11
#I # of immediate descendants of order 2^7 is 33
#I # of capable immediate descendants is 2
#I # of immediate descendants of order 2^8 is 1004
#I # of capable immediate descendants is 107
#I **************************************************
#I Starting group: [grp] #18;2
#I Order: 2^6
#I Nuclear rank: 2
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^7 is 41
#I # of capable immediate descendants is 2
#I # of immediate descendants of order 2^8 is 494
#I # of capable immediate descendants is 37
#I **************************************************
#I Starting group: [grp] #19;2
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 15
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #20;2
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 15
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #21;2
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 28
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #22;2
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 15
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #26;2
#I Order: 2^6
#I Nuclear rank: 2
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^7 is 14
#I # of capable immediate descendants is 1
#I # of immediate descendants of order 2^8 is 163
#I # of capable immediate descendants is 14
#I **************************************************
#I Starting group: [grp] #27;2
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 10
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #28;2
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 19
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #30;2
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 19
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #31;2
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 21
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #32;2
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 19
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #33;2
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 19
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #41;2
#I Order: 2^6
#I Nuclear rank: 2
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^7 is 30
#I # of capable immediate descendants is 1
#I # of immediate descendants of order 2^8 is 570
#I # of capable immediate descendants is 24
#I **************************************************
#I Starting group: [grp] #42;2
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 40
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #43;2
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 24
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #44;2
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 20
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #45;2
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 13
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #46;2
#I Order: 2^6
#I Nuclear rank: 1
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^7 is 13
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #61;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 7
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #62;3
#I Order: 2^7
#I Nuclear rank: 5
#I 2-multiplicator rank: 12
#I # of immediate descendants of order 2^8 is 29
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #63;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #64;3
#I Order: 2^7
#I Nuclear rank: 4
#I 2-multiplicator rank: 11
#I # of immediate descendants of order 2^8 is 52
#I # of capable immediate descendants is 7
#I **************************************************
#I Starting group: [grp] #65;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 38
#I # of capable immediate descendants is 7
#I **************************************************
#I Starting group: [grp] #66;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 22
#I # of capable immediate descendants is 6
#I **************************************************
#I Starting group: [grp] #67;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #68;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 8
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #69;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #70;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 22
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #71;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 14
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #72;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 8
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #73;3
#I Order: 2^7
#I Nuclear rank: 6
#I 2-multiplicator rank: 13
#I # of immediate descendants of order 2^8 is 47
#I # of capable immediate descendants is 7
#I **************************************************
#I Starting group: [grp] #74;3
#I Order: 2^7
#I Nuclear rank: 4
#I 2-multiplicator rank: 11
#I # of immediate descendants of order 2^8 is 56
#I # of capable immediate descendants is 6
#I **************************************************
#I Starting group: [grp] #75;3
#I Order: 2^7
#I Nuclear rank: 4
#I 2-multiplicator rank: 11
#I # of immediate descendants of order 2^8 is 34
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #76;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 36
#I # of capable immediate descendants is 8
#I **************************************************
#I Starting group: [grp] #77;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #78;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 7
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #79;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #80;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 19
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #81;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 24
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #82;3
#I Order: 2^7
#I Nuclear rank: 4
#I 2-multiplicator rank: 11
#I # of immediate descendants of order 2^8 is 61
#I # of capable immediate descendants is 6
#I **************************************************
#I Starting group: [grp] #83;3
#I Order: 2^7
#I Nuclear rank: 5
#I 2-multiplicator rank: 12
#I # of immediate descendants of order 2^8 is 125
#I # of capable immediate descendants is 6
#I **************************************************
#I Starting group: [grp] #84;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 26
#I # of capable immediate descendants is 6
#I **************************************************
#I Starting group: [grp] #85;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 57
#I # of capable immediate descendants is 6
#I **************************************************
#I Starting group: [grp] #86;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 40
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #87;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 44
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #88;3
#I Order: 2^7
#I Nuclear rank: 4
#I 2-multiplicator rank: 11
#I # of immediate descendants of order 2^8 is 79
#I # of capable immediate descendants is 8
#I **************************************************
#I Starting group: [grp] #89;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 34
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #90;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 41
#I # of capable immediate descendants is 7
#I **************************************************
#I Starting group: [grp] #91;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #92;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 24
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #93;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 57
#I # of capable immediate descendants is 7
#I **************************************************
#I Starting group: [grp] #94;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 8
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #95;3
#I Order: 2^7
#I Nuclear rank: 4
#I 2-multiplicator rank: 11
#I # of immediate descendants of order 2^8 is 47
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #96;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 75
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #97;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 35
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #98;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 35
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #99;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 34
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #100;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 8
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #101;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 8
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #102;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 31
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #103;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 27
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #104;3
#I Order: 2^7
#I Nuclear rank: 4
#I 2-multiplicator rank: 11
#I # of immediate descendants of order 2^8 is 48
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #105;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 7
#I **************************************************
#I Starting group: [grp] #106;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 29
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #107;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 55
#I # of capable immediate descendants is 7
#I **************************************************
#I Starting group: [grp] #108;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #109;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #110;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 8
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #111;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 21
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #112;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 21
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #113;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 24
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #114;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #115;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #116;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #117;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 35
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #118;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 35
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #119;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 35
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #120;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 35
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #121;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 40
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #122;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 30
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #123;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 22
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #124;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 27
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #125;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #126;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 8
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #127;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #128;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #129;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #130;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 16
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #131;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 16
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #132;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #133;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #134;3
#I Order: 2^7
#I Nuclear rank: 4
#I 2-multiplicator rank: 11
#I # of immediate descendants of order 2^8 is 72
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #135;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 39
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #136;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 22
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #137;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 22
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #138;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 37
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #139;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #140;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 26
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #141;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 7
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #142;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 7
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #143;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 7
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #144;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 50
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #145;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 24
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #146;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 14
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #147;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 14
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #148;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 37
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #149;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #150;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 26
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #151;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 7
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #152;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 7
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #153;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 7
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #154;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 58
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #155;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 52
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #156;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 33
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #157;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 65
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #158;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 33
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #159;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 33
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #160;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 33
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #161;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 24
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #162;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 31
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #163;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 33
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #164;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #165;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 6
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #166;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #167;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 6
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #168;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 9
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #169;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 16
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #170;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #171;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 8
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #172;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #173;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #174;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #175;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 9
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #176;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 8
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #177;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 6
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #178;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 6
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #179;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 8
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #180;3
#I Order: 2^7
#I Nuclear rank: 5
#I 2-multiplicator rank: 12
#I # of immediate descendants of order 2^8 is 64
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #181;3
#I Order: 2^7
#I Nuclear rank: 4
#I 2-multiplicator rank: 11
#I # of immediate descendants of order 2^8 is 28
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #182;3
#I Order: 2^7
#I Nuclear rank: 4
#I 2-multiplicator rank: 11
#I # of immediate descendants of order 2^8 is 73
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #183;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 19
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #184;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #185;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 24
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #186;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 30
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #187;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 23
#I # of capable immediate descendants is 6
#I **************************************************
#I Starting group: [grp] #188;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 46
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #189;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 19
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #190;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 13
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #191;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 6
#I **************************************************
#I Starting group: [grp] #192;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #193;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 21
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #194;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #195;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 11
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #196;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 2
#I **************************************************
#I Starting group: [grp] #199;3
#I Order: 2^7
#I Nuclear rank: 5
#I 2-multiplicator rank: 12
#I # of immediate descendants of order 2^8 is 82
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #200;3
#I Order: 2^7
#I Nuclear rank: 4
#I 2-multiplicator rank: 11
#I # of immediate descendants of order 2^8 is 72
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #201;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 58
#I # of capable immediate descendants is 6
#I **************************************************
#I Starting group: [grp] #202;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 56
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #203;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 92
#I # of capable immediate descendants is 7
#I **************************************************
#I Starting group: [grp] #204;3
#I Order: 2^7
#I Nuclear rank: 4
#I 2-multiplicator rank: 11
#I # of immediate descendants of order 2^8 is 90
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #205;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 56
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #206;3
#I Order: 2^7
#I Nuclear rank: 4
#I 2-multiplicator rank: 11
#I # of immediate descendants of order 2^8 is 122
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #207;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 50
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #208;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 50
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #209;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 50
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #210;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 50
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #211;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 50
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #212;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 85
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #213;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 50
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #214;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 72
#I # of capable immediate descendants is 6
#I **************************************************
#I Starting group: [grp] #215;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #216;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 25
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #217;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #218;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 46
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #219;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #220;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 124
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #221;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 72
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #222;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 46
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #223;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 46
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #224;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 85
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #225;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 46
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #226;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 72
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #227;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 78
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #228;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 72
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #229;3
#I Order: 2^7
#I Nuclear rank: 4
#I 2-multiplicator rank: 11
#I # of immediate descendants of order 2^8 is 94
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #230;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 44
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #231;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 47
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #232;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 48
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #233;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 38
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #234;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #235;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #236;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 46
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #237;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #238;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #239;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 72
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #240;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #241;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 46
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #242;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #243;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #244;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #245;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 72
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #246;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #247;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #248;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 46
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #249;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #250;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #251;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 38
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #252;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 72
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #253;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #254;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #255;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #256;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #257;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 72
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #258;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #259;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 38
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #260;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 72
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #261;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #262;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #263;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #264;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #265;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #266;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #267;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #268;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 72
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #269;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #270;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #271;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #272;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #273;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #274;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #275;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #276;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #277;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #278;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 18
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #279;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #280;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 14
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #281;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #282;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 33
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #283;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 18
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #284;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #285;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #286;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #287;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 46
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #288;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #291;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 2
#I **************************************************
#I Starting group: [grp] #292;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #294;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #295;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 14
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #296;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 16
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #297;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 43
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #298;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #299;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #300;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 18
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #302;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #308;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #315;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #317;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #330;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 46
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #331;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 45
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #332;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 38
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #333;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 40
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #334;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 38
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #335;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 68
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #336;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 68
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #337;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 71
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #338;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 43
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #339;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 46
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #340;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 40
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #341;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 38
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #342;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 29
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #343;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #344;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 33
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #345;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #346;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #347;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 18
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #348;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 14
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #349;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #350;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #351;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 38
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #352;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #353;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #354;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #355;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #356;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #357;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 18
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #358;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 18
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #359;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 17
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #360;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #361;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 14
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #362;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 16
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #363;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #364;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #367;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 2
#I **************************************************
#I Starting group: [grp] #368;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 2
#I **************************************************
#I Starting group: [grp] #375;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #376;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 18
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #377;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 14
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #378;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #379;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 16
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #380;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 16
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #387;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 18
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #388;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 18
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #394;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 24
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #395;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #396;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #397;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #398;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #399;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #400;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #405;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #406;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #407;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #409;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 46
#I # of capable immediate descendants is 5
#I **************************************************
#I Starting group: [grp] #410;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 22
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #411;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 27
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #412;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 25
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #413;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 42
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #414;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 40
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #415;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 30
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #416;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 40
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #417;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 26
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #418;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 16
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #419;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 14
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #420;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 16
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #421;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 14
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #422;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 16
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #423;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 14
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #424;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 14
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #425;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #426;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #427;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 21
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #428;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 16
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #429;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 16
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #430;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 14
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #431;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #432;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #433;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #434;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #435;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 18
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #436;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 15
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #437;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #438;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 8
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #440;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 3
#I **************************************************
#I Starting group: [grp] #452;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 19
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #453;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 18
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #454;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 15
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #455;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 13
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #456;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #457;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #458;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #459;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #460;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #464;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 48
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #465;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 75
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #466;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 38
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #467;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 72
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #468;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 72
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #469;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 72
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #470;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 72
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #471;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 29
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #472;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 72
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #473;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 38
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #474;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 72
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #475;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 22
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #476;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 38
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #477;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 72
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #478;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 46
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #479;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 26
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #480;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 26
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #481;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #482;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #483;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #484;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 40
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #485;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #486;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #487;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #488;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #489;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #490;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #491;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #492;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #493;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #494;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #495;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #496;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #497;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #498;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #499;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #500;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #501;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #502;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #503;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #504;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #505;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #506;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #507;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #508;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #509;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #510;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #511;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #512;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #513;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #514;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #515;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #516;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #517;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #518;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #519;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #520;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 14
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #521;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #522;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #523;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #524;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #525;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #526;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #527;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #528;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #529;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 14
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #530;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 14
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #545;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 4
#I **************************************************
#I Starting group: [grp] #556;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 2
#I **************************************************
#I Starting group: [grp] #578;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 2
#I **************************************************
#I Starting group: [grp] #600;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 2
#I **************************************************
#I Starting group: [grp] #608;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #609;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #610;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 20
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #611;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #612;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 16
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #613;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #614;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #615;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #616;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 16
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #617;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 14
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #618;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #619;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #622;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 3
#I **************************************************
#I Starting group: [grp] #636;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 2
#I **************************************************
#I Starting group: [grp] #638;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 3
#I **************************************************
#I Starting group: [grp] #642;3
#I Order: 2^7
#I Nuclear rank: 6
#I 2-multiplicator rank: 13
#I # of immediate descendants of order 2^8 is 24
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #643;3
#I Order: 2^7
#I Nuclear rank: 4
#I 2-multiplicator rank: 11
#I # of immediate descendants of order 2^8 is 51
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #644;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 25
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #645;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 46
#I # of capable immediate descendants is 6
#I **************************************************
#I Starting group: [grp] #646;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 42
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #647;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #648;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 16
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #649;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #650;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 40
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #651;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 14
#I # of capable immediate descendants is 4
#I **************************************************
#I Starting group: [grp] #652;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 35
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #653;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 29
#I # of capable immediate descendants is 3
#I **************************************************
#I Starting group: [grp] #654;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 32
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #655;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 9
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #656;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 2
#I **************************************************
#I Starting group: [grp] #657;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 12
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #658;3
#I Order: 2^7
#I Nuclear rank: 1
#I 2-multiplicator rank: 8
#I # of immediate descendants of order 2^8 is 11
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #663;3
#I Order: 2^7
#I Nuclear rank: 3
#I 2-multiplicator rank: 10
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #664;3
#I Order: 2^7
#I Nuclear rank: 2
#I 2-multiplicator rank: 9
#I # of immediate descendants of order 2^8 is 10
#I # of capable immediate descendants is 1
#I **************************************************
#I Starting group: [grp] #665;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #665;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #666;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #666;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #667;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #667;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #668;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #668;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #669;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #669;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #670;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #670;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #671;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #671;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #672;4
#I Order: 2^8
#I Nuclear rank: 8
#I 2-multiplicator rank: 14
#I Group [grp] #672;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #673;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #673;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #674;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #674;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #675;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #675;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #676;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #676;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #677;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #677;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #678;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #678;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #679;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #679;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #680;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #680;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #681;4
#I Order: 2^8
#I Nuclear rank: 7
#I 2-multiplicator rank: 13
#I Group [grp] #681;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #682;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #682;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #683;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #683;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #684;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #684;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #685;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #685;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #686;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #686;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #687;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #687;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #688;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #688;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #689;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #689;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #690;4
#I Order: 2^8
#I Nuclear rank: 7
#I 2-multiplicator rank: 13
#I Group [grp] #690;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #691;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #691;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #692;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #692;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #693;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #693;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #694;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #694;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #695;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #695;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #696;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #696;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #697;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #697;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #698;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #698;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #699;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #699;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #700;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #700;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #701;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #701;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #702;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #702;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #703;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #703;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #704;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #704;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #705;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #705;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #706;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #706;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #707;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #707;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #708;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #708;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #709;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #709;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #710;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #710;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #711;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #711;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #712;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #712;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #713;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #713;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #714;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #714;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #715;4
#I Order: 2^8
#I Nuclear rank: 7
#I 2-multiplicator rank: 13
#I Group [grp] #715;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #716;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #716;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #717;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #717;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #718;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #718;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #719;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #719;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #720;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #720;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #721;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #721;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #722;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #722;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #723;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #723;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #724;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #724;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #725;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #725;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #726;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #726;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #727;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #727;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #728;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #728;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #729;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #729;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #730;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #730;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #731;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #731;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #732;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #732;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #733;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #733;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #734;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #734;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #735;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #735;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #736;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #736;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #737;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #737;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #738;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #738;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #739;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #739;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #740;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #740;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #741;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #741;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #742;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #742;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #743;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #743;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #744;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #744;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #745;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #745;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #746;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #746;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #747;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #747;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #748;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #748;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #749;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #749;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #750;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #750;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #751;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #751;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #752;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #752;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #753;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #753;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #754;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #754;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #755;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #755;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #756;4
#I Order: 2^8
#I Nuclear rank: 8
#I 2-multiplicator rank: 14
#I Group [grp] #756;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #757;4
#I Order: 2^8
#I Nuclear rank: 7
#I 2-multiplicator rank: 13
#I Group [grp] #757;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #758;4
#I Order: 2^8
#I Nuclear rank: 7
#I 2-multiplicator rank: 13
#I Group [grp] #758;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #759;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #759;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #760;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #760;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #761;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #761;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #762;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #762;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #763;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #763;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #764;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #764;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #765;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #765;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #766;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #766;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #767;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #767;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #768;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #768;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #769;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #769;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #770;4
#I Order: 2^8
#I Nuclear rank: 7
#I 2-multiplicator rank: 13
#I Group [grp] #770;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #771;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #771;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #772;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #772;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #773;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #773;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #774;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #774;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #775;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #775;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #776;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #776;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #777;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #777;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #778;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #778;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #779;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #779;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #780;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #780;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #781;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #781;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #782;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #782;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #783;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #783;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #784;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #784;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #785;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #785;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #786;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #786;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #787;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #787;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #788;4
#I Order: 2^8
#I Nuclear rank: 8
#I 2-multiplicator rank: 14
#I Group [grp] #788;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #789;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #789;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #790;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #790;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #791;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #791;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #792;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #792;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #793;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #793;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #794;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #794;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #795;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #795;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #796;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #796;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #797;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #797;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #798;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #798;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #799;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #799;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #800;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #800;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #801;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #801;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #802;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #802;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #803;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #803;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #804;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #804;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #805;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #805;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #806;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #806;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #807;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #807;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #808;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #808;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #809;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #809;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #810;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #810;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #811;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #811;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #812;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #812;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #813;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #813;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #814;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #814;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #815;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #815;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #816;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #816;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #817;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #817;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #818;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #818;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #819;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #819;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #820;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #820;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #821;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #821;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #822;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #822;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #823;4
#I Order: 2^8
#I Nuclear rank: 7
#I 2-multiplicator rank: 13
#I Group [grp] #823;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #824;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #824;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #825;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #825;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #826;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #826;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #827;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #827;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #828;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #828;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #829;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #829;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #830;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #830;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #831;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #831;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #832;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #832;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #833;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #833;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #834;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #834;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #835;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #835;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #836;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #836;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #837;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #837;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #838;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #838;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #839;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #839;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #840;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #840;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #841;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #841;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #842;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #842;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #843;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #843;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #844;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #844;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #845;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #845;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #846;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #846;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #847;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #847;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #848;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #848;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #849;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #849;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #850;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #850;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #851;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #851;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #852;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #852;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #853;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #853;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #854;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #854;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #855;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #855;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #856;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #856;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #857;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #857;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #858;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #858;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #859;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #859;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #860;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #860;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #861;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #861;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #862;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #862;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #863;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #863;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #864;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #864;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #865;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #865;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #866;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #866;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #867;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #867;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #868;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #868;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #869;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #869;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #870;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #870;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #871;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #871;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #872;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #872;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #873;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #873;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #874;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #874;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #875;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #875;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #876;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #876;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #877;4
#I Order: 2^8
#I Nuclear rank: 7
#I 2-multiplicator rank: 13
#I Group [grp] #877;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #878;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #878;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #879;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #879;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #880;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #880;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #881;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #881;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #882;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #882;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #883;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #883;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #884;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #884;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #885;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #885;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #886;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #886;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #887;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #887;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #888;4
#I Order: 2^8
#I Nuclear rank: 7
#I 2-multiplicator rank: 13
#I Group [grp] #888;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #889;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #889;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #890;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #890;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #891;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #891;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #892;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #892;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #893;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #893;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #894;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #894;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #895;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #895;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #896;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #896;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #897;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #897;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #898;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #898;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #899;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #899;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #900;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #900;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #901;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #901;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #902;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #902;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #903;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #903;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #904;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #904;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #905;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #905;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #906;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #906;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #907;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #907;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #908;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #908;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #909;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #909;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #910;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #910;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #911;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #911;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #912;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #912;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #913;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #913;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #914;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #914;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #915;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #915;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #916;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #916;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #917;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #917;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #918;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #918;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #919;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #919;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #920;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #920;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #921;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #921;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #922;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #922;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #923;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #923;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #924;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #924;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #925;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #925;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #926;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #926;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #927;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #927;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #928;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #928;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #929;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #929;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #930;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #930;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #931;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #931;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #932;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #932;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #933;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #933;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #934;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #934;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #935;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #935;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #936;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #936;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #937;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #937;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #938;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #938;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #939;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #939;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #940;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #940;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #941;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #941;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #942;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #942;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #943;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #943;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #944;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #944;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #945;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #945;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #946;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #946;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #947;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #947;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #948;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #948;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #949;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #949;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #950;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #950;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #951;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #951;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #952;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #952;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #953;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #953;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #954;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #954;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #955;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #955;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #956;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #956;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #957;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #957;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #958;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #958;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #959;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #959;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #960;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #960;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #961;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #961;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #962;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #962;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #963;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #963;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #964;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #964;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #965;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #965;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #966;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #966;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #967;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #967;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #968;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #968;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #969;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #969;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #970;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #970;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #971;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #971;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #972;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #972;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #973;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #973;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #974;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #974;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #975;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #975;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #976;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #976;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #977;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #977;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #978;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #978;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #979;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #979;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #980;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #980;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #981;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #981;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #982;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #982;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #983;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #983;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #984;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #984;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #985;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #985;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #986;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #986;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #987;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #987;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #988;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #988;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #989;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #989;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #990;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #990;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #991;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #991;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #992;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #992;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #993;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #993;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #994;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #994;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #995;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #995;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #996;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #996;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #997;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #997;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #998;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #998;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #999;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #999;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1000;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1000;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1001;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1001;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1002;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1002;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1003;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1003;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1004;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1004;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1005;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1005;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1006;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1006;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1007;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1007;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1008;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1008;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1009;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1009;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1010;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1010;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1011;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1011;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1012;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1012;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1013;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1013;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1014;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #1014;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1015;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #1015;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1016;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1016;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1017;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1017;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1018;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1018;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1019;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1019;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1020;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1020;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1021;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1021;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1022;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1022;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1023;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1023;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1024;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1024;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1025;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1025;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1026;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1026;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1027;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #1027;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1028;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1028;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1029;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1029;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1030;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #1030;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1031;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1031;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1032;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1032;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1033;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1033;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1034;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1034;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1035;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1035;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1036;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1036;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1037;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1037;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1038;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1038;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1039;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1039;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1040;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1040;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1041;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1041;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1042;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #1042;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1043;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #1043;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1044;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #1044;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1045;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1045;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1046;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1046;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1047;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1047;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1048;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #1048;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1049;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1049;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1050;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1050;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1051;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1051;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1052;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1052;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1053;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1053;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1054;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1054;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1055;4
#I Order: 2^8
#I Nuclear rank: 7
#I 2-multiplicator rank: 13
#I Group [grp] #1055;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1056;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1056;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1057;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1057;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1058;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #1058;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1059;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1059;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1060;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1060;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1061;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1061;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1062;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1062;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1063;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1063;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1064;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1064;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1065;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1065;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1066;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1066;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1067;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1067;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1068;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1068;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1069;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1069;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1070;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1070;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1071;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1071;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1072;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1072;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1073;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1073;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1074;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1074;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1075;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1075;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1076;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1076;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1077;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1077;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1078;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1078;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1079;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1079;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1080;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1080;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1081;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1081;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1082;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1082;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1083;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1083;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1084;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #1084;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1085;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1085;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1086;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1086;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1087;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1087;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1088;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1088;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1089;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1089;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1090;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1090;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1091;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1091;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1092;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #1092;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1093;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1093;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1094;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1094;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1095;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1095;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1096;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #1096;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1097;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1097;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1098;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1098;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1099;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1099;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1100;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1100;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1101;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1101;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1102;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1102;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1103;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1103;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1104;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1104;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1105;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1105;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1106;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1106;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1107;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1107;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1108;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1108;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1109;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1109;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1110;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1110;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1111;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1111;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1112;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1112;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1113;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1113;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1114;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1114;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1115;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1115;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1116;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1116;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1117;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1117;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1118;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1118;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1119;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1119;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1120;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1120;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1121;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1121;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1122;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1122;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1123;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1123;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1124;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1124;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1125;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1125;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1126;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1126;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1127;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1127;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1128;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1128;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1129;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1129;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1130;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1130;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1131;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1131;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1132;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1132;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1133;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1133;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1134;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1134;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1135;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1135;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1136;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1136;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1137;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1137;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1138;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1138;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1139;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1139;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1140;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1140;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1141;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1141;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1142;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1142;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1143;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1143;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1144;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1144;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1145;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1145;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1146;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1146;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1147;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1147;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1148;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1148;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1149;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1149;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1150;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1150;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1151;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1151;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1152;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1152;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1153;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1153;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1154;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1154;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1155;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1155;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1156;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1156;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1157;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1157;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1158;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1158;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1159;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1159;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1160;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1160;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1161;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1161;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1162;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1162;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1163;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1163;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1164;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1164;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1165;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1165;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1166;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #1166;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1167;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #1167;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1168;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #1168;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1169;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1169;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1170;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1170;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1171;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1171;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1172;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #1172;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1173;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1173;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1174;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #1174;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1175;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1175;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1176;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #1176;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1177;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1177;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1178;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1178;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1179;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1179;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1180;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1180;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1181;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1181;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1182;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1182;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1183;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1183;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1184;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1184;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1185;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1185;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1186;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1186;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1187;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1187;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1188;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1188;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1189;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1189;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1190;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1190;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1191;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1191;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1192;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1192;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1193;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1193;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1194;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1194;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1195;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1195;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1196;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1196;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1197;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1197;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1198;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1198;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1199;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1199;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1200;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1200;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1201;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1201;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1202;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1202;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1203;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1203;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1204;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1204;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1205;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1205;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1206;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #1206;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1207;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1207;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1208;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1208;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1209;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1209;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1210;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1210;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1211;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1211;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1212;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1212;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1213;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1213;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1214;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #1214;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1215;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #1215;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1216;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1216;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1217;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1217;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1218;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1218;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1219;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1219;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1220;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1220;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1221;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1221;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1222;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1222;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1223;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1223;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1224;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1224;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1225;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1225;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1226;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1226;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1227;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1227;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1228;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1228;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1229;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1229;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1230;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1230;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1231;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1231;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1232;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1232;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1233;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1233;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1234;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1234;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1235;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1235;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1236;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1236;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1237;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1237;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1238;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1238;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1239;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1239;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1240;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1240;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1241;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1241;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1242;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1242;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1243;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1243;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1244;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1244;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1245;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1245;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1246;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1246;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1247;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1247;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1248;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1248;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1249;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1249;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1250;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #1250;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1251;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #1251;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1252;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1252;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1253;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1253;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1254;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #1254;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1255;4
#I Order: 2^8
#I Nuclear rank: 1
#I 2-multiplicator rank: 7
#I Group [grp] #1255;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1256;4
#I Order: 2^8
#I Nuclear rank: 7
#I 2-multiplicator rank: 13
#I Group [grp] #1256;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1257;4
#I Order: 2^8
#I Nuclear rank: 7
#I 2-multiplicator rank: 13
#I Group [grp] #1257;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1258;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #1258;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1259;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1259;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1260;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1260;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1261;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1261;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1262;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #1262;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1263;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1263;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1264;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1264;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1265;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1265;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1266;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1266;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1267;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1267;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1268;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1268;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1269;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1269;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1270;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1270;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1271;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1271;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1272;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1272;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1273;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1273;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1274;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1274;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1275;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1275;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1276;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1276;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1277;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1277;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1278;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #1278;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1279;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1279;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1280;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1280;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1281;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1281;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1282;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1282;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1283;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1283;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1284;4
#I Order: 2^8
#I Nuclear rank: 5
#I 2-multiplicator rank: 11
#I Group [grp] #1284;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1285;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1285;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1286;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1286;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1287;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1287;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1288;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1288;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1289;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1289;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1290;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1290;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1291;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1291;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1292;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1292;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1293;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1293;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1294;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1294;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1295;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1295;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1296;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1296;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1297;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1297;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1298;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1298;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1299;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1299;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1300;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1300;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1301;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1301;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1302;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1302;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1303;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1303;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1304;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1304;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1305;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1305;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1306;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1306;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1307;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1307;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1308;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1308;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1309;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1309;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1310;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1310;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1311;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1311;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1312;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1312;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1313;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1313;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1314;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1314;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1315;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1315;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1316;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1316;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1317;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1317;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1318;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1318;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1319;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1319;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1320;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1320;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1321;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1321;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1322;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1322;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1323;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1323;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1324;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1324;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1325;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1325;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1326;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1326;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1327;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1327;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1328;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1328;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1329;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1329;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1330;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1330;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1331;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1331;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1332;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1332;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1333;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1333;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1334;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1334;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1335;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1335;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1336;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1336;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1337;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1337;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1338;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #1338;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1339;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1339;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1340;4
#I Order: 2^8
#I Nuclear rank: 6
#I 2-multiplicator rank: 12
#I Group [grp] #1340;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1341;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1341;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1342;4
#I Order: 2^8
#I Nuclear rank: 4
#I 2-multiplicator rank: 10
#I Group [grp] #1342;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1343;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1343;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1344;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1344;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1345;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1345;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1346;4
#I Order: 2^8
#I Nuclear rank: 3
#I 2-multiplicator rank: 9
#I Group [grp] #1346;4 is an invalid starting group
#I **************************************************
#I Starting group: [grp] #1347;4
#I Order: 2^8
#I Nuclear rank: 2
#I 2-multiplicator rank: 8
#I Group [grp] #1347;4 is an invalid starting group
#I **************************************************
--> --------------------
--> maximum size reached
--> --------------------
