Spracherkennung für: .tst vermutete Sprache: Unknown {[0] [0] [0]} [Methode: Schwerpunktbildung, einfache Gewichte, sechs Dimensionen]
gap> START_TEST("more.tst");
gap> SetInfoLevel( InfoAutGrp,
1 );
#
#
#
gap> G:=SmallGroup(
16,
2);
<pc group of size
16 with
4 generators>
gap> StructureDescription(G);
"C4 x C4"
#
gap> A := AutomorphismGroupPGroup(G);;
#I step
1:
2^
2 -- init automorphisms
#I step
2:
2^
2 -- aut grp has size
6
#I final step: convert
gap> SortedList(A.agOrder); A.glOrder; A.size;
[
2,
2,
2,
2 ]
6
96
gap> ConvertHybridAutGroup( A );
<group of size
96 with
6 generators>
#
gap> A := AutomorphismGroupPGroup(G, "Full");;
#I step
1:
2^
2 -- init automorphisms
#I step
2:
2^
2 -- aut grp has size
6
#I final step: convert
gap> SortedList(A.agOrder); A.glOrder; A.size;
[
2,
2,
2,
2 ]
6
96
gap> ConvertHybridAutGroup( A );
<group of size
96 with
6 generators>
#
gap> A := AutomorphismGroupPGroup(G, "Over");;
#I step
1:
2^
2 -- init automorphisms
#I step
2:
2^
2 -- aut grp has size
6
#I final step: convert
gap> SortedList(A.agOrder); A.glOrder; A.size;
[
2,
2,
2,
2,
2,
3 ]
1
96
gap> ConvertHybridAutGroup( A );
<group of size
96 with
6 generators>
#
gap> A := AutomorphismGroupPGroup(G, "Char");;
#I step
1:
2^
2 -- init automorphisms
#I step
2:
2^
2 -- aut grp has size
6
#I final step: convert
gap> SortedList(A.agOrder); A.glOrder; A.size;
[
2,
2,
2,
2 ]
6
96
gap> ConvertHybridAutGroup( A );
<group of size
96 with
6 generators>
#
#
#
gap> G:=SmallGroup(
32,
50);
<pc group of size
32 with
5 generators>
#
gap> A := AutomorphismGroupPGroup(G);;
#I step
1:
2^
4 -- init automorphisms
#I step
2:
2^
1 -- aut grp has size
120
#I final step: convert
gap> SortedList(A.agOrder); A.glOrder; A.size;
[
2,
2,
2,
2 ]
120
1920
gap> ConvertHybridAutGroup( A );
<group of size
1920 with
6 generators>
#
gap> A := AutomorphismGroupPGroup(G, "Full");;
#I step
1:
2^
4 -- init automorphisms
#I step
2:
2^
1 -- aut grp has size
20160
#I final step: convert
gap> SortedList(A.agOrder); A.glOrder; A.size;
[
2,
2,
2,
2 ]
120
1920
gap> ConvertHybridAutGroup( A );
<group of size
1920 with
7 generators>
#
gap> A := AutomorphismGroupPGroup(G, "Over");;
#I step
1:
2^
4 -- init automorphisms
#I step
2:
2^
1 -- aut grp has size
120
#I final step: convert
gap> SortedList(A.agOrder); A.glOrder; A.size;
[
2,
2,
2,
2 ]
120
1920
gap> ConvertHybridAutGroup( A );
<group of size
1920 with
6 generators>
#
gap> A := AutomorphismGroupPGroup(G, "Char");;
#I step
1:
2^
4 -- init automorphisms
#I step
2:
2^
1 -- aut grp has size
20160
#I final step: convert
gap> SortedList(A.agOrder); A.glOrder; A.size;
[
2,
2,
2,
2 ]
120
1920
gap> ConvertHybridAutGroup( A );
<group of size
1920 with
7 generators>
#
#
#
gap> G := SmallGroup(
3^
5,
61);
<pc group of size
243 with
5 generators>
gap> StructureDescription(G);
"C9 x C3 x C3 x C3"
#
gap> A := AutomorphismGroupPGroup(G);;
#I step
1:
3^
4 -- init automorphisms
#I step
2:
3^
1 -- aut grp has size
606528
#I final step: convert
gap> SortedList(A.agOrder); A.glOrder; A.size;
[
2,
2,
3,
3,
3,
3,
3,
3,
3 ]
5616
49128768
gap> ConvertHybridAutGroup( A );
<group of size
49128768 with
11 generators>
#
gap> A := AutomorphismGroupPGroup(G, "Full");;
#I step
1:
3^
4 -- init automorphisms
#I step
2:
3^
1 -- aut grp has size
24261120
#I final step: convert
gap> SortedList(A.agOrder); A.glOrder; A.size;
[
2,
2,
3,
3,
3,
3,
3,
3,
3 ]
5616
49128768
gap> ConvertHybridAutGroup( A );
<group of size
49128768 with
11 generators>
#
gap> A := AutomorphismGroupPGroup(G, "Over");;
#I step
1:
3^
4 -- init automorphisms
#I step
2:
3^
1 -- aut grp has size
606528
#I final step: convert
gap> SortedList(A.agOrder); A.glOrder; A.size;
[
2,
2,
3,
3,
3,
3,
3,
3,
3 ]
5616
49128768
gap> ConvertHybridAutGroup( A );
<group of size
49128768 with
11 generators>
#
gap> A := AutomorphismGroupPGroup(G, "Char");;
#I step
1:
3^
4 -- init automorphisms
#I step
2:
3^
1 -- aut grp has size
606528
#I final step: convert
gap> SortedList(A.agOrder); A.glOrder; A.size;
[
2,
3,
3,
3,
3 ]
303264
49128768
gap> ConvertHybridAutGroup( A );
<group of size
49128768 with
9 generators>
#
#
#
gap> G := SmallGroup(
11^
5,
81);
<pc group of size
161051 with
5 generators>
gap> StructureDescription(G);
"C11 x C11 x ((C11 x C11) : C11)"
#
gap> A := AutomorphismGroupPGroup(G);;
#I step
1:
11^
4 -- init automorphisms
#I step
2:
11^
1 -- aut grp has size
2551047840000
#I final step: convert
gap> SortedList(A.agOrder); A.glOrder; A.size;
[
2,
2,
5,
5,
11,
11,
11,
11,
11,
11,
11,
11 ]
1742400
37349891425440000
gap> ConvertHybridAutGroup( A );
<group of size
37349891425440000 with
14 generators>
#
gap> A := AutomorphismGroupPGroup(G, "Full");;
#I step
1:
11^
4 -- init automorphisms
#I step
2:
11^
1 -- aut grp has size
41393302251840000
#I final step: convert
gap> SortedList(A.agOrder); A.glOrder; A.size;
[
2,
5,
11,
11,
11,
11 ]
255104784000
37349891425440000
gap> ConvertHybridAutGroup( A );
<group of size
37349891425440000 with
16162 generators>
#
gap> A := AutomorphismGroupPGroup(G, "Over");;
#I step
1:
11^
4 -- init automorphisms
#I step
2:
11^
1 -- aut grp has size
2551047840000
#I final step: convert
gap> SortedList(A.agOrder); A.glOrder; A.size;
[
2,
2,
5,
5,
11,
11,
11,
11,
11,
11,
11,
11 ]
1742400
37349891425440000
gap> ConvertHybridAutGroup( A );
<group of size
37349891425440000 with
14 generators>
#
gap> A := AutomorphismGroupPGroup(G, "Char");;
#I step
1:
11^
4 -- init automorphisms
#I step
2:
11^
1 -- aut grp has size
2551047840000
#I final step: convert
gap> SortedList(A.agOrder); A.glOrder; A.size;
[
2,
5,
11,
11,
11,
11 ]
255104784000
37349891425440000
gap> ConvertHybridAutGroup( A );
<group of size
37349891425440000 with
11 generators>
#
gap> STOP_TEST( "more.tst" ,
1);
