Quelle  ctounit4.tbl   Sprache: unbekannt

#############################################################################
##
#W  ctounit4.tbl                GAP table library               Thomas Breuer
##
##  This file contains the ordinary character tables related to the unitary
##  group $U_6(2)$ of the ATLAS.
##
#H  ctbllib history
#H  ---------------
#H  $Log: ctounit4.tbl,v $
#H  Revision 4.29  2012/03/12 17:01:48  gap
#H  omit the fourth argument of `ConstructV4G'
#H      TB
#H
#H  Revision 4.28  2012/03/02 08:20:42  gap
#H  added fusion 3.U6(2).3.2 -> U6(2).3.2
#H      TB
#H
#H  Revision 4.27  2012/01/30 08:32:05  gap
#H  removed #H entries from the headers
#H      TB
#H
#H  Revision 4.26  2012/01/26 11:18:40  gap
#H  added missing table automorphisms
#H      TB
#H
#H  Revision 4.25  2011/09/28 14:20:19  gap
#H  - removed revision entry and SET_TABLEFILENAME call,
#H  - added fusion (2^2x3).U6(2).2 -> 6.Fi22.2
#H      TB
#H
#H  Revision 4.24  2010/05/05 13:20:09  gap
#H  - added many class fusions,
#H  - changed several class fusions according to consistency conditions,
#H    after systematic checks of consistency
#H    - with Brauer tables w.r.t. the restriction of characters,
#H    - of subgroup fusions with the corresponding subgroup fusions between
#H      proper factors where the factor fusions are stored,
#H    - of subgroup fusions from maximal subgroups with subgroup fusions of
#H      extensions inside automorphic extensions
#H
#H      TB
#H
#H  Revision 4.23  2010/01/19 17:05:36  gap
#H  added several tables of maximal subgroups of central extensions of
#H  simple groups (many of them were contributed by S. Dany)
#H      TB
#H
#H  Revision 4.22  2009/01/12 17:33:58  gap
#H  added missing maxes of Fi22.2 and their fusions
#H      TB
#H
#H  Revision 4.21  2007/07/03 08:36:55  gap
#H  2.U6(2).2 is Fi22.2M2,
#H  adjusted the factor fusion (2^2x3).U6(2) -> 3.U6(2)
#H      TB
#H
#H  Revision 4.20  2005/10/19 12:59:44  gap
#H  added table of (2^2x3).U6(2).3
#H      TB
#H
#H  Revision 4.19  2005/09/12 08:34:45  gap
#H  added table of (2^2x3).U6(2).2
#H      TB
#H
#H  Revision 4.18  2005/08/10 14:38:27  gap
#H  added fusions (2^2x3).U6(2) -> 2.U6(2) and (2^2x3).U6(2) -> U6(2)
#H      TB
#H
#H  Revision 4.17  2004/08/31 12:33:34  gap
#H  added tables of 4.L2(25).2_3,
#H                  L2(49).2^2,
#H                  L2(81).2^2,
#H                  L2(81).(2x4),
#H                  3.L3(4).3.2_2,
#H                  L3(9).2^2,
#H                  L4(4).2^2,
#H                  2x2^3:L3(2)x2,
#H                  (2xA6).2^2,
#H                  2xL2(11).2,
#H                  S3xTh,
#H                  41:40,
#H                  7^(1+4):(3x2.S7),
#H                  7xL2(8),
#H                  (7xL2(8)).3,
#H                  O7(3)N3A,
#H                  O8+(3).2_1',
#H                  O8+(3).2_1'',
#H                  O8+(3).2_2',
#H                  O8+(3).(2^2)_{122},
#H                  S4(9),
#H                  S4(9).2_i,
#H                  2.U4(3).2_2',
#H                  2.U4(3).(2^2)_{133},
#H                  2.U4(3).D8,
#H                  3.U6(2).S3,
#H  added fusions 3.A6.2_i -> 3.A6.2^2,
#H                L2(49).2_i -> L2(49).2^2,
#H                L3(9).2_i -> L3(9).2^2,
#H                L4(4).2_i -> L4(4).2^2,
#H                G2(3) -> O7(3),
#H                L2(17) -> S8(2),
#H                2.L3(4).2_2 -> 2.M22.2
#H                3.L3(4).2_2 -> 3.L3(4).3.2_2
#H                3.L3(4).3 -> 3.L3(4).3.2_2
#H                2^5:S6 -> 2.M22.2
#H                O8+(3) -> O8+(3).2_1',
#H                O8+(3) -> O8+(3).2_1'',
#H                O8+(3) -> O8+(3).2_2',
#H                O8+(3) -> O8+(3).(2^2)_{122},
#H                O8+(3).2_1 -> O8+(3).(2^2)_{122},
#H                O8+(3).2_2 -> O8+(3).(2^2)_{122},
#H                2.U4(3) -> 2.U4(3).2_2',
#H                2.U4(3).2_1 -> 2.U4(3).(2^2)_{133},
#H                2.U4(3).2_2 -> O7(3),
#H                2.U4(3).2_2' -> U4(3).2_2,
#H                2.U4(3).2_3 -> 2.U4(3).(2^2)_{133},
#H                2.U4(3).2_3' -> 2.U4(3).(2^2)_{133},
#H                2.U4(3).4 -> 2.U4(3).D8,
#H                3.U6(2).2 -> 3.U6(2).S3,
#H                3.U6(2).3 -> 3.U6(2).S3,
#H  replaced table of psl(3,4):d12 by L3(4).D12,
#H  changed table of O8+(3).S4 to a construction table,
#H  changed encoding of the table of 12.A6.2_3,
#H  added maxes of Sz(8), Sz(8).3,
#H      TB
#H
#H  Revision 4.16  2004/01/20 10:26:13  gap
#H  added several names of the forms `<name>C<class>', `<name>N<class>'
#H      TB
#H
#H  Revision 4.15  2002/10/22 12:44:16  gap
#H  added 215 factor fusions for cases <tbl> -> <tbl> / O_{<p>}(<tbl>)
#H  (they make it possible to construct <p>-modular Brauer tables
#H  for tables of the type [p^n].<fact> where the <p>-modular Brauer table
#H  of <fact> is in the library)
#H      TB
#H
#H  Revision 4.14  2002/09/30 13:21:22  gap
#H  added fusions 2^2.U6(2).2 -> U6(2).2, 2^2.U6(2).3.2 -> U6(2).3.2
#H  (in order to make the automatic computation of the 2-modular table work)
#H      TB
#H
#H  Revision 4.13  2002/09/23 15:08:54  gap
#H  removed trailing blanks
#H      TB
#H
#H  Revision 4.12  2002/09/18 15:22:02  gap
#H  changed the `text' components of many fusions,
#H  in order to use them as a status information (for evaluation)
#H      TB
#H
#H  Revision 4.11  2002/08/21 13:53:52  gap
#H  removed names of the form `c1m<n>', `c2m<n>', `c3m<n>'
#H      TB
#H
#H  Revision 4.10  2002/07/12 06:45:57  gap
#H  further tidying up: removed `irredinfo' stuff, rearranged constructions
#H      TB
#H
#H  Revision 4.9  2002/07/08 16:06:57  gap
#H  changed `construction' component from function (call) to list of function
#H  name and arguments
#H      TB
#H
#H  Revision 4.8  2001/05/04 16:50:46  gap
#H  first revision for ctbllib
#H
#H
#H  tbl history (GAP 4)
#H  -------------------
#H  (Rev. 4.8 of ctbllib coincides with Rev. 4.7 of tbl in GAP 4)
#H  
#H  RCS file: /gap/CVS/GAP/4.0/tbl/ctounit4.tbl,v
#H  Working file: ctounit4.tbl
#H  head: 4.7
#H  branch:
#H  locks: strict
#H  access list:
#H  symbolic names:
#H   GAP4R2: 4.3.0.6
#H   GAP4R2PRE2: 4.3.0.4
#H   GAP4R2PRE1: 4.3.0.2
#H   GAP4R1: 4.2.0.2
#H  keyword substitution: kv
#H  total revisions: 9; selected revisions: 9
#H  description:
#H  ----------------------------
#H  revision 4.7
#H  date: 2000/04/03 11:06:50;  author: gap;  state: Exp;  lines: +21 -2
#H  added tables of 6.U6(2)M3 and (2^2x3).U6(2)M3 (constructed for Eamonn)
#H  
#H      TB
#H  ----------------------------
#H  revision 4.6
#H  date: 2000/03/30 12:39:35;  author: gap;  state: Exp;  lines: +4 -4
#H  inserted a crucial comma that had been lost for some strange reason
#H  
#H      TB
#H  ----------------------------
#H  revision 4.5
#H  date: 2000/03/13 16:24:09;  author: gap;  state: Exp;  lines: +236 -14
#H  added table of (2^2x3).U6(2)
#H  
#H      TB
#H  ----------------------------
#H  revision 4.4
#H  date: 2000/03/09 08:41:47;  author: gap;  state: Exp;  lines: +15 -5
#H  added fusion 6.U6(2) -> 3.Fi22 (needed for the construction of
#H  the table of (3x2^2).U6(2) < 6.Fi22)
#H  
#H      TB
#H  ----------------------------
#H  revision 4.3
#H  date: 1999/09/17 14:09:43;  author: gap;  state: Exp;  lines: +23 -491
#H  encoded table of `2^2.U6(2).S3' via `ConstructGS3'
#H  
#H      TB
#H  ----------------------------
#H  revision 4.2
#H  date: 1999/07/14 11:39:43;  author: gap;  state: Exp;  lines: +4 -3
#H  cosmetic changes for the release ...
#H  
#H      TB
#H  ----------------------------
#H  revision 4.1
#H  date: 1997/07/17 15:48:44;  author: fceller;  state: Exp;  lines: +2 -2
#H  for version 4
#H  ----------------------------
#H  revision 1.2
#H  date: 1997/04/03 15:47:05;  author: sam;  state: Exp;  lines: +4 -18
#H  improved a 'construction' component (now calls 'ConstructMGA'
#H      instead of several library functions)
#H  ----------------------------
#H  revision 1.1
#H  date: 1996/10/21 16:02:14;  author: sam;  state: Exp;
#H  first proposal of the table library
#H  ==========================================================================
##

MOT("2.U6(2)",
[
"origin: ATLAS of finite groups, tests: 1.o.r."
],
[18393661440,18393661440,26542080,26542080,294912,294912,36864,155520,155520,
93312,93312,3888,3888,55296,6144,3072,3072,1536,1536,1536,1536,256,60,60,
10368,10368,10368,10368,3456,3456,1152,1152,576,576,432,432,144,144,144,144,
14,14,64,64,64,32,32,108,108,108,108,54,54,20,20,22,22,22,22,864,864,288,288,
96,96,96,96,48,48,48,48,30,30,36,36,36,36],
[,[1,1,1,1,1,1,1,8,8,10,10,12,12,3,3,5,5,6,6,5,5,5,23,23,10,10,10,10,8,8,10,
10,8,8,12,12,12,12,12,12,41,41,15,16,16,18,19,50,50,48,48,52,52,23,23,58,58,
56,56,27,25,29,29,27,25,31,31,32,32,33,33,72,72,50,50,48,48],[1,2,3,4,5,6,7,1,
2,1,2,1,2,14,15,16,17,18,19,20,21,22,23,24,3,4,3,4,3,4,5,6,5,6,3,4,5,6,7,7,41,
42,43,44,45,46,47,10,11,10,11,10,11,54,55,56,57,58,59,14,14,14,14,15,15,16,17,
18,19,20,21,23,24,25,26,27,28],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,1,2,27,28,25,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,
45,46,47,50,51,48,49,52,53,3,4,56,57,58,59,61,60,62,63,65,64,66,67,68,69,70,
71,8,9,76,77,74,75],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,1,2,43,44,45,46,47,
48,49,50,51,52,53,54,55,58,59,56,57,60,61,62,63,64,65,66,67,68,69,70,71,72,73,
74,75,76,77],,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,27,28,25,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,50,51,
48,49,52,53,54,55,1,2,1,2,61,60,62,63,65,64,66,67,68,69,70,71,72,73,76,77,74,
75]],
0,
[(56,58)(57,59),(25,27)(26,28)(48,50)(49,51)(60,61)(64,65)(74,76)(75,77),
(18,19)(46,47)(68,69)],
["ConstructProj",[["U6(2)",[]],["2.U6(2)",[]]]]);
ARC("2.U6(2)","maxes",["2xU5(2)","2.2^(1+8)_+:U4(2)","2.U6(2)M3",
"2xU4(3).2_2","2.U4(3).2_2","2.U6(2)M6","2.2^(4+8):(S3xA5)","2xS6(2)",
"2.U6(2)M9","2.U6(2)M10","2xM22","2.M22","2.U6(2)M13","2xS3xU4(2)",
"2.(3^(1+4).[2^7.3])","2.L3(4).2_1"]);
ALF("2.U6(2)","U6(2)",[1,1,2,2,3,3,4,5,5,6,6,7,7,8,9,10,10,11,12,13,13,14,
15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,26,26,27,
28,29,29,30,30,31,31,32,32,33,33,34,34,35,36,37,37,38,39,40,40,41,42,43,
43,44,44,45,45,46,46]);
ALF("2.U6(2)","2.U6(2).2",[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,
18,19,20,21,22,23,24,25,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,43,44,45,44,45,46,47,48,49,50,51,50,51,52,52,53,54,55,55,56,
57,58,58,59,60,61,62,63,64,63,64]);
ALF("2.U6(2)","Fi22",[1,2,3,2,3,4,4,5,15,6,16,7,19,9,11,9,11,12,12,13,10,
13,14,34,17,16,17,16,18,15,17,21,18,20,23,19,23,24,22,24,26,51,29,27,28,
30,30,31,55,31,56,32,57,35,34,36,61,37,62,38,38,39,40,45,45,38,45,42,43,
46,41,52,65,58,56,58,55],[
"fusion is unique up to table automorphisms"
]);
ALN("2.U6(2)",["2.U6(2).2M1","Fi22C2A","Fi22N2A"]);

MOT("2.U6(2).2",
[
"origin: ATLAS of finite groups"
],
[36787322880,36787322880,53084160,53084160,589824,589824,73728,311040,311040,
186624,186624,7776,7776,110592,12288,6144,6144,1536,3072,3072,512,120,120,
10368,10368,6912,6912,2304,2304,1152,1152,864,864,288,288,288,288,28,28,128,
128,128,32,108,108,108,108,40,40,22,22,864,576,576,96,192,192,48,96,96,60,60,
36,36,5806080,5806080,92160,92160,18432,18432,6144,6144,1536,1536,8640,8640,
2592,2592,576,576,432,432,144,144,384,384,192,128,128,120,120,40,40,576,576,
288,288,192,192,144,144,48,48,28,28,32,32,36,36,48,48,48,48,60,60],
[,[1,1,1,1,1,1,1,8,8,10,10,12,12,3,3,5,5,6,5,5,5,22,22,10,10,8,8,10,10,8,8,12,
12,12,12,12,12,38,38,15,16,16,18,44,44,46,46,22,22,50,50,24,26,26,24,28,28,29,
30,30,61,61,44,44,1,1,1,1,5,5,5,5,5,5,8,8,10,10,8,8,12,12,12,12,14,14,17,16,
16,22,22,22,22,30,30,28,28,30,30,34,34,34,34,38,38,40,40,46,46,53,53,57,57,61,
61],[1,2,3,4,5,6,7,1,2,1,2,1,2,14,15,16,17,18,19,20,21,22,23,3,4,3,4,5,6,5,6,
3,4,5,6,7,7,38,39,40,41,42,43,10,11,10,11,48,49,50,51,14,14,14,15,16,17,18,19,
20,22,23,24,25,65,66,67,68,69,70,71,72,73,74,65,66,65,66,67,68,65,66,67,68,85,
86,87,88,89,90,91,92,93,69,70,69,70,71,72,69,70,73,74,104,105,106,107,77,78,
85,86,87,87,90,91],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,1,
2,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,3,4,
50,51,52,53,54,55,56,57,58,59,60,8,9,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,86,87,88,89,65,66,67,68,94,95,96,97,98,99,100,
101,102,103,104,105,107,106,108,109,110,111,113,112,75,76],,[1,2,3,4,5,6,7,8,
9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,
35,36,37,1,2,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,
61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,
87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,65,66,107,106,108,109,
110,111,113,112,114,115],,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,1,2,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,
72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,
98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115]],
0,
[(112,113),(106,107),(106,107)(112,113),( 65, 66)( 67, 68)( 69, 70)( 71, 72)
( 73, 74)( 75, 76)( 77, 78)( 79, 80)( 81, 82)( 83, 84)( 85, 86)( 90, 91)
( 92, 93)( 94, 95)( 96, 97)( 98, 99)(100,101)(102,103)(104,105)(108,109)
(110,111)(114,115)],
["ConstructProj",[["U6(2).2",[]],["2.U6(2).2",[]]]]);
ALF("2.U6(2).2","U6(2).2",[1,1,2,2,3,3,4,5,5,6,6,7,7,8,9,10,10,11,12,12,
13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,24,24,25,26,
26,27,27,28,28,29,29,30,31,31,32,33,33,34,35,35,36,36,37,37,38,38,39,39,
40,40,41,41,42,42,43,43,44,44,45,45,46,46,47,47,48,48,49,50,51,52,52,53,
53,54,54,55,55,56,56,57,57,58,58,59,59,60,61,62,62,63,63,64,64,65,65]);
ALF("2.U6(2).2","Fi22.2",[1,2,3,2,3,4,4,5,15,6,16,7,19,9,11,9,11,12,13,10,
13,14,34,17,16,18,15,17,21,18,20,23,19,23,24,22,24,26,48,29,27,28,30,31,
51,32,52,35,34,36,56,37,38,39,43,37,43,41,44,40,49,59,53,51,60,62,61,62,
65,63,65,64,65,66,68,71,70,74,73,71,72,78,77,78,80,79,81,79,80,83,84,85,
84,91,86,92,87,91,90,93,89,93,94,96,97,98,98,100,101,105,104,106,107,109,
110],[
"fusion map is unique up to table automorphisms"
]);

MOT("Isoclinic(2.U6(2).2)",
[
"isoclinic group of the 2.U6(2).2 given in the ATLAS"
],
0,
0,
0,
[(112,113),(106,107),(65,66)(67,68)(69,70)(71,72)(73,74)(75,76)(77,78)(79,80)
(81,82)(83,84)(85,86)(90,91)(92,93)(94,95)(96,97)(98,99)(100,101)(102,103)
(104,105)(108,109)(110,111)(114,115)],
["ConstructIsoclinic",[["2.U6(2).2"]]]);
ALF("Isoclinic(2.U6(2).2)","U6(2).2",[1,1,2,2,3,3,4,5,5,6,6,7,7,8,9,10,10,
11,12,12,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,24,
24,25,26,26,27,27,28,28,29,29,30,31,31,32,33,33,34,35,35,36,36,37,37,38,
38,39,39,40,40,41,41,42,42,43,43,44,44,45,45,46,46,47,47,48,48,49,50,51,
52,52,53,53,54,54,55,55,56,56,57,57,58,58,59,59,60,61,62,62,63,63,64,64,
65,65]);

MOT("2^2.U6(2)",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11]"
],
[36787322880,36787322880,36787322880,36787322880,53084160,53084160,53084160,
53084160,589824,589824,589824,589824,36864,311040,311040,311040,311040,186624,
186624,186624,186624,7776,7776,7776,7776,55296,6144,3072,3072,3072,3072,3072,
3072,3072,3072,3072,3072,256,120,120,120,120,20736,20736,20736,20736,20736,
20736,20736,20736,6912,6912,6912,6912,2304,2304,2304,2304,1152,1152,1152,1152,
864,864,864,864,288,288,288,288,288,288,288,288,28,28,28,28,64,64,64,64,64,64,
64,216,216,216,216,216,216,216,216,108,108,108,108,40,40,40,40,44,44,44,44,44,
44,44,44,864,864,576,576,576,576,96,96,96,96,96,96,96,96,96,96,96,96,60,60,60,
60,72,72,72,72,72,72,72,72],
[,[1,1,1,1,1,1,1,1,1,1,1,1,1,14,14,14,14,18,18,18,18,22,22,22,22,5,5,10,10,11,
11,12,12,9,9,9,9,9,39,39,39,39,18,18,18,18,18,18,18,18,14,14,14,14,18,18,18,
18,14,14,14,14,22,22,22,22,22,22,22,22,22,22,22,22,75,75,75,75,27,28,28,30,30,
32,32,90,90,90,90,86,86,86,86,94,94,94,94,39,39,39,39,106,106,106,106,102,102,
102,102,47,43,51,51,51,51,47,43,56,56,57,57,58,58,59,59,59,59,128,128,128,128,
90,90,90,90,86,86,86,86],[1,2,3,4,5,6,7,8,9,10,11,12,13,1,2,3,4,1,2,3,4,1,2,3,
4,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,5,6,7,8,5,6,7,8,5,6,7,8,
9,10,11,12,9,10,11,12,5,6,7,8,9,10,11,12,13,13,13,13,75,76,77,78,79,80,81,82,
83,84,85,18,19,20,21,18,19,20,21,18,19,20,21,98,99,100,101,102,103,104,105,
106,107,108,109,26,26,26,26,26,26,27,27,28,29,30,31,32,33,34,35,36,37,39,40,
41,42,43,44,45,46,47,48,49,50],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,1,2,3,4,47,48,49,
50,43,44,45,46,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,
72,73,74,75,76,77,78,79,80,81,82,83,84,85,90,91,92,93,86,87,88,89,94,95,96,97,
5,6,7,8,102,103,104,105,106,107,108,109,111,110,112,113,114,115,117,116,118,
119,120,121,122,123,124,125,126,127,14,15,16,17,136,137,138,139,132,133,134,
135],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,
53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,1,2,3,4,79,
80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,106,107,
108,109,102,103,104,105,110,111,112,113,114,115,116,117,118,119,120,121,122,
123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139],,,,[1,2,
3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,
31,32,33,34,35,36,37,38,39,40,41,42,47,48,49,50,43,44,45,46,51,52,53,54,55,56,
57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,
83,84,85,90,91,92,93,86,87,88,89,94,95,96,97,98,99,100,101,1,2,3,4,1,2,3,4,
111,110,112,113,114,115,117,116,118,119,120,121,122,123,124,125,126,127,128,
129,130,131,136,137,138,139,132,133,134,135]],
0,
[(102,106)(103,107)(104,108)(105,109),( 43, 47)( 44, 48)( 45, 49)( 46, 50)
( 86, 90)( 87, 91)( 88, 92)( 89, 93)(110,111)(116,117)(132,136)(133,137)
(134,138)(135,139),(  3,  4)(  7,  8)( 11, 12)( 16, 17)( 20, 21)( 24, 25)
( 30, 32)( 31, 33)( 36, 37)( 41, 42)( 45, 46)( 49, 50)( 53, 54)( 57, 58)
( 61, 62)( 65, 66)( 69, 70)( 73, 74)( 77, 78)( 82, 84)( 83, 85)( 88, 89)
( 92, 93)( 96, 97)(100,101)(104,105)(108,109)(114,115)(120,122)(121,123)
(126,127)(130,131)(134,135)(138,139),(  2,  3)(  6,  7)( 10, 11)( 15, 16)
( 19, 20)( 23, 24)( 28, 30)( 29, 31)( 35, 36)( 40, 41)( 44, 45)( 48, 49)
( 52, 53)( 56, 57)( 60, 61)( 64, 65)( 68, 69)( 72, 73)( 76, 77)( 80, 82)
( 81, 83)( 87, 88)( 91, 92)( 95, 96)( 99,100)(103,104)(107,108)(113,114)
(118,120)(119,121)(125,126)(129,130)(133,134)(137,138)],
["ConstructV4G","2.U6(2)",(  2,  3,  4)(  6,  7,  8)( 10, 11, 12)
    ( 15, 16, 17)( 19, 20, 21)( 23, 24, 25)( 28, 30, 32)( 29, 31, 33)( 35,
    36, 37)( 40, 41, 42)( 44, 45, 46)( 48, 49, 50)( 52, 53, 54)( 56, 57, 58)
    ( 60, 61, 62)( 64, 65, 66)( 68, 69, 70)( 72, 73, 74)( 76, 77, 78)( 80,
    82, 84)( 81, 83, 85)( 87, 88, 89)( 91, 92, 93)( 95, 96, 97)( 99,100,101)
    (103,104,105)(107,108,109)(113,114,115)(118,120,122)(119,121,123)(125,126,
    127)(129,130,131)(133,134,135)(137,138,139)]);
ALF("2^2.U6(2)","2.U6(2)",[1,1,2,2,3,3,4,4,5,5,6,6,7,8,8,9,9,10,10,11,11,
12,12,13,13,14,15,16,17,18,18,19,19,20,20,21,21,22,23,23,24,24,25,25,26,
26,27,27,28,28,29,29,30,30,31,31,32,32,33,33,34,34,35,35,36,36,37,37,38,
38,39,39,40,40,41,41,42,42,43,44,45,46,46,47,47,48,48,49,49,50,50,51,51,
52,52,53,53,54,54,55,55,56,56,57,57,58,58,59,59,60,61,62,62,63,63,64,65,
66,67,68,68,69,69,70,70,71,71,72,72,73,73,74,74,75,75,76,76,77,77]);
ALF("2^2.U6(2)","U6(2)",[1,1,1,1,2,2,2,2,3,3,3,3,4,5,5,5,5,6,6,6,6,7,7,7,
7,8,9,10,10,11,11,12,12,13,13,13,13,14,15,15,15,15,16,16,16,16,17,17,17,
17,18,18,18,18,19,19,19,19,20,20,20,20,21,21,21,21,22,22,22,22,23,23,23,
23,24,24,24,24,25,26,26,27,27,28,28,29,29,29,29,30,30,30,30,31,31,31,31,
32,32,32,32,33,33,33,33,34,34,34,34,35,36,37,37,37,37,38,39,40,40,41,41,
42,42,43,43,43,43,44,44,44,44,45,45,45,45,46,46,46,46]);
ALF("2^2.U6(2)","2^2.U6(2).3",[1,2,2,2,3,4,4,4,5,6,6,6,7,8,9,9,9,10,11,11,
11,12,13,13,13,14,15,16,17,16,17,16,17,18,19,19,19,20,21,22,22,22,23,24,
24,24,25,26,26,26,27,28,28,28,29,30,30,30,31,32,32,32,33,34,34,34,35,36,
36,36,37,38,38,38,39,40,40,40,41,42,43,42,43,42,43,44,45,45,45,46,47,47,
47,48,49,49,49,50,51,51,51,52,53,53,53,54,55,55,55,56,57,58,59,59,59,60,
61,62,63,62,63,62,63,64,65,65,65,66,67,67,67,68,69,69,69,70,71,71,71],[
"fusion map is unique up to table autom.,\n",
"compatible with Brauer tables and factors"
]);
ALF("2^2.U6(2)","2^2.U6(2).2",[1,2,3,3,4,5,6,6,7,8,9,9,10,11,12,13,13,14,
15,16,16,17,18,19,19,20,21,22,23,24,25,24,25,26,27,28,28,29,30,31,32,32,
33,34,35,36,33,34,36,35,37,38,39,39,40,41,42,42,43,44,45,45,46,47,48,48,
49,50,51,51,52,53,54,54,55,56,57,57,58,59,60,61,62,61,62,63,64,65,66,63,
64,66,65,67,68,69,69,70,71,72,72,73,74,75,76,73,74,76,75,77,77,78,79,80,
80,81,81,82,83,84,85,84,85,86,87,88,88,89,90,91,91,92,93,94,95,92,93,95,
94],[
"fusion map is unique up to table autom.,\n",
"representative compatible with factors"
]);
ALF("2^2.U6(2)","2.Fi22",[1,2,3,4,6,5,4,3,5,6,7,7,7,8,9,25,26,10,11,27,28,
12,13,33,34,16,19,16,19,20,21,20,21,22,22,18,17,22,23,24,59,60,30,29,28,
27,30,29,28,27,32,31,26,25,29,30,36,37,31,32,35,35,41,40,34,33,40,41,42,
43,39,38,43,42,46,47,89,90,50,48,49,52,51,51,52,53,54,95,96,53,54,97,98,
55,56,99,100,62,61,60,59,63,64,107,108,65,66,109,110,67,67,68,69,70,70,79,
79,67,79,74,73,76,75,80,80,72,71,91,92,113,114,102,101,98,97,102,101,96,
95],[
"fusion map is unique up to table autom.,\n",
"representative compatible with factors"
]);
ALN("2^2.U6(2)",["V4.U6(2)"]);

MOT("2^2.U6(2).2",
[
"origin: ATLAS of finite groups,\n",
"3rd maximal subgroup of Fi23"
],
[73574645760,73574645760,36787322880,106168320,106168320,53084160,1179648,
1179648,589824,73728,622080,622080,311040,373248,373248,186624,15552,15552,
7776,110592,12288,6144,6144,3072,3072,6144,6144,3072,512,240,240,120,20736,
20736,20736,20736,13824,13824,6912,4608,4608,2304,2304,2304,1152,1728,1728,
864,576,576,288,576,576,288,56,56,28,128,128,128,64,64,216,216,216,216,216,
216,108,80,80,40,44,44,44,44,864,1152,1152,576,96,192,192,96,96,192,192,96,
120,120,60,72,72,72,72,5806080,5806080,92160,92160,18432,18432,6144,6144,1536,
1536,8640,8640,2592,2592,576,576,432,432,144,144,384,384,192,128,128,120,120,
40,40,576,576,288,288,192,192,144,144,48,48,28,28,32,32,36,36,48,48,48,48,60,
60],
[,[1,1,1,1,1,1,1,1,1,1,11,11,11,14,14,14,17,17,17,4,4,8,8,9,9,7,7,7,7,30,30,
30,14,14,14,14,11,11,11,14,14,14,11,11,11,17,17,17,17,17,17,17,17,17,55,55,55,
21,22,22,24,24,63,63,63,63,67,67,67,30,30,30,73,73,73,73,33,37,37,37,33,41,41,
42,42,43,43,43,89,89,89,63,63,63,63,1,2,1,2,7,8,7,8,7,8,11,12,14,15,11,12,17,
18,17,18,20,20,23,22,22,30,31,30,31,43,44,40,41,43,44,49,50,49,50,55,56,58,58,
67,68,78,79,83,83,89,90],[1,2,3,4,5,6,7,8,9,10,1,2,3,1,2,3,1,2,3,20,21,22,23,
24,25,26,27,28,29,30,31,32,4,5,6,6,4,5,6,7,8,9,7,8,9,4,5,6,7,8,9,10,10,10,55,
56,57,58,59,60,61,62,14,15,16,16,14,15,16,70,71,72,73,74,75,76,20,20,20,20,21,
22,23,24,25,26,27,28,30,31,32,33,34,35,36,96,97,98,99,100,101,102,103,104,105,
96,97,96,97,98,99,96,97,98,99,116,117,118,119,120,121,122,123,124,100,101,100,
101,102,103,100,101,104,105,135,136,137,138,108,109,116,117,118,118,121,
122],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,1,2,3,33,34,36,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,
54,55,56,57,58,59,60,61,62,63,64,66,65,67,68,69,4,5,6,73,74,75,76,77,78,79,80,
81,82,83,84,85,86,87,88,11,12,13,92,93,95,94,96,97,98,99,100,101,102,103,104,
105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,96,97,98,99,
125,126,127,128,129,130,131,132,133,134,135,136,138,137,139,140,141,142,144,
143,106,107],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,54,1,2,3,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,75,77,
78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,
122,123,124,125,126,127,128,129,130,131,132,133,134,96,97,138,137,139,140,141,
142,144,143,145,146],,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,35,37,38,39,40,41,42,43,44,45,46,
47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,65,67,68,69,70,71,72,
1,2,3,3,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,94,96,97,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,
119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,
138,139,140,141,142,143,144,145,146]],
0,
[(143,144),(137,138),(137,138)(143,144),(75,76),( 35, 36)( 65, 66)( 94, 95)
(143,144)],
["ConstructMGA","2^2.U6(2)","2.U6(2).2",
 [[78,109],[79,110],[80,111],[81,112],[82,113],[83,114],[84,115],[85,117],
  [86,116],[87,118],[88,119],[89,121],[90,120],[91,122],[92,123],[93,124],
  [94,125],[95,127],[96,126],[97,128],[98,129],[99,130],[100,131],[101,132],
  [102,133],[103,135],[104,134],[105,136],[106,137],[107,138],[108,139]],()]);
ALF("2^2.U6(2).2","2.U6(2).2",[1,1,2,3,3,4,5,5,6,7,8,8,9,10,10,11,12,12,
13,14,15,16,17,18,18,19,19,20,21,22,22,23,24,24,25,25,26,26,27,28,28,29,
30,30,31,32,32,33,34,34,35,36,36,37,38,38,39,40,41,42,43,43,44,44,45,45,
46,46,47,48,48,49,50,50,51,51,52,53,53,54,55,56,57,58,58,59,59,60,61,61,
62,63,63,64,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115]);
ALF("2^2.U6(2).2","U6(2).2",[1,1,1,2,2,2,3,3,3,4,5,5,5,6,6,6,7,7,7,8,9,10,
10,11,11,12,12,12,13,14,14,14,15,15,15,15,16,16,16,17,17,17,18,18,18,19,
19,19,20,20,20,21,21,21,22,22,22,23,24,24,25,25,26,26,26,26,27,27,27,28,
28,28,29,29,29,29,30,31,31,31,32,33,33,34,34,35,35,35,36,36,36,37,37,37,
37,38,38,39,39,40,40,41,41,42,42,43,43,44,44,45,45,46,46,47,47,48,48,49,
50,51,52,52,53,53,54,54,55,55,56,56,57,57,58,58,59,59,60,61,62,62,63,63,
64,64,65,65]);
ALF("2^2.U6(2).2","2^2.U6(2).3.2",[1,2,2,3,4,4,5,6,6,7,8,9,9,10,11,11,12,
13,13,14,15,16,17,16,17,18,19,19,20,21,22,22,23,24,24,24,25,26,26,27,28,
28,29,30,30,31,32,32,33,34,34,35,36,36,37,38,38,39,40,41,40,41,42,43,43,
43,44,45,45,46,47,47,48,49,49,49,50,51,52,52,53,54,55,54,55,56,57,57,58,
59,59,60,61,61,61,99,100,101,102,103,104,105,106,107,108,109,110,111,112,
113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,
131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,
149],[
"fusion map is unique up to table autom.,\n",
"representative compatible with factors"
]);
ALF("2^2.U6(2).2","Fi23",[1,3,2,4,2,3,3,4,4,4,5,16,14,6,17,15,7,24,18,10,
12,10,12,10,12,11,9,11,11,13,39,38,21,15,17,17,22,14,16,17,19,21,16,22,22,
26,18,24,24,25,26,20,26,25,29,60,59,32,30,31,31,30,35,71,66,66,34,70,67,
40,38,39,41,77,78,79,46,44,48,48,52,43,47,46,52,50,42,50,61,89,90,68,66,
71,71,3,9,4,11,9,10,11,10,11,12,16,42,17,45,22,50,24,51,26,55,31,30,32,31,
30,39,74,40,75,42,44,45,43,50,48,51,49,55,53,60,88,63,64,70,94,82,84,83,
83,89,98],[
"fusion map is unique up to table automorphisms"
]);
ALN("2^2.U6(2).2",["Fi23C2B","Fi23N2B"]);

MOT("2^2.U6(2).3",
[
"origin: ATLAS of finite groups"
],
[110361968640,36787322880,159252480,53084160,1769472,589824,110592,933120,
311040,559872,186624,23328,7776,165888,18432,3072,3072,9216,3072,768,360,120,
62208,20736,62208,20736,20736,6912,6912,2304,3456,1152,2592,864,864,288,864,
288,84,28,192,64,64,648,216,648,216,324,108,120,40,132,44,132,44,2592,2592,
1728,576,288,288,96,96,288,96,180,60,216,72,216,72,41057280,41057280,466560,
466560,11664,11664,4536,4536,248832,248832,155520,155520,13824,13824,10368,
10368,3888,3888,3456,3456,1728,1728,1296,1296,576,576,432,432,72,72,1944,1944,
243,243,162,162,3456,3456,1152,1152,864,864,288,288,288,288,216,216,144,144,
72,72,48,48,90,90,45,45,216,216,54,54,21,21,48,48,30,30,33,33,33,33,36,36],
[,[1,1,1,1,1,1,1,8,8,10,10,12,12,3,3,6,6,5,5,5,21,21,10,10,10,10,8,8,10,10,8,
8,12,12,12,12,12,12,39,39,15,16,16,46,46,44,44,48,48,21,21,54,54,52,52,25,23,
27,27,25,23,30,30,31,31,66,66,46,46,44,44,73,72,75,74,77,76,79,78,73,72,75,74,
73,72,75,74,77,76,75,74,75,74,77,76,75,74,77,76,79,78,103,102,105,104,107,106,
81,80,81,80,87,86,85,84,87,86,95,94,93,92,95,94,93,92,127,126,129,128,103,102,
107,106,135,134,111,110,127,126,143,142,141,140,131,130],[1,2,3,4,5,6,7,1,2,1,
2,1,2,14,15,16,17,18,19,20,21,22,3,4,3,4,3,4,5,6,5,6,3,4,5,6,7,7,39,40,41,42,
43,10,11,10,11,10,11,50,51,52,53,54,55,14,14,14,14,15,15,16,17,18,19,21,22,23,
24,25,26,1,1,1,1,1,1,1,1,3,3,3,3,5,5,3,3,3,3,5,5,5,5,3,3,7,7,5,5,7,7,10,10,10,
10,10,10,14,14,15,15,14,14,18,18,15,15,14,14,18,18,15,15,20,20,21,21,21,21,23,
25,25,23,39,39,41,41,50,50,52,52,54,54,56,57],,[1,2,3,4,5,6,7,8,9,10,11,12,13,
14,15,16,17,18,19,20,1,2,25,26,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,46,47,44,45,48,49,3,4,52,53,54,55,57,56,58,59,61,60,62,63,64,65,8,
9,70,71,68,69,73,72,75,74,77,76,79,78,81,80,83,82,85,84,87,86,89,88,91,90,93,
92,95,94,97,96,99,98,101,100,103,102,105,104,107,106,109,108,111,110,113,112,
115,114,117,116,119,118,121,120,123,122,125,124,75,74,73,72,131,130,133,132,
135,134,137,136,83,82,141,140,143,142,145,144],,[1,2,3,4,5,6,7,8,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,
1,2,41,42,43,44,45,46,47,48,49,50,51,54,55,52,53,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,
91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,
112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,
131,132,133,78,79,136,137,138,139,142,143,140,141,144,145],,,,[1,2,3,4,5,6,7,
8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,25,26,23,24,27,28,29,30,31,32,33,
34,35,36,37,38,39,40,41,42,43,46,47,44,45,48,49,50,51,1,2,1,2,57,56,58,59,61,
60,62,63,64,65,66,67,70,71,68,69,73,72,75,74,77,76,79,78,81,80,83,82,85,84,87,
86,89,88,91,90,93,92,95,94,97,96,99,98,101,100,103,102,105,104,107,106,109,
108,111,110,113,112,115,114,117,116,119,118,121,120,123,122,125,124,127,126,
129,128,131,130,133,132,135,134,137,136,139,138,73,72,73,72,145,144]],
0,
[( 52, 54)( 53, 55)(140,142)(141,143),( 23, 25)( 24, 26)( 44, 46)( 45, 47)
( 56, 57)( 60, 61)( 68, 70)( 69, 71)( 72, 73)( 74, 75)( 76, 77)( 78, 79)
( 80, 81)( 82, 83)( 84, 85)( 86, 87)( 88, 89)( 90, 91)( 92, 93)( 94, 95)
( 96, 97)( 98, 99)(100,101)(102,103)(104,105)(106,107)(108,109)(110,111)
(112,113)(114,115)(116,117)(118,119)(120,121)(122,123)(124,125)(126,127)
(128,129)(130,131)(132,133)(134,135)(136,137)(138,139)(140,141)(142,143)
(144,145)],
["ConstructMGA","2^2.U6(2)","U6(2).3",
[[47,78,109],[48,79,110],[49,80,111],[50,81,112],[51,82,113],[52,83,114],
[53,84,115],[54,85,116],[55,86,117],[56,87,118],[57,88,119],[58,89,120],
[59,90,121],[60,91,122],[61,92,123],[62,93,124],[63,94,125],[64,95,126],
[65,96,127],[66,97,128],[67,98,129],[68,99,130],[69,100,131],[70,101,132],
[71,102,133],[72,103,134],[73,104,135],[74,105,136],[75,106,137],[76,107,138],
[77,108,139]],()]);
ALF("2^2.U6(2).3","U6(2).3",[1,1,2,2,3,3,4,5,5,6,6,7,7,8,9,10,10,11,11,12,
13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,24,24,25,
25,26,26,27,27,28,28,29,29,30,30,31,32,33,33,34,35,36,36,37,37,38,38,39,
39,40,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,
62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,
86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,
108,109,110,111,112,113,114]);
ALF("2^2.U6(2).3","2^2.U6(2).3.2",[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,
39,40,41,42,43,42,43,44,45,46,47,48,49,48,49,50,50,51,52,53,53,54,55,56,
57,58,59,60,61,60,61,62,62,63,63,64,64,65,65,66,66,67,67,68,68,69,69,70,
70,71,71,72,72,73,73,74,74,75,75,76,76,77,77,78,78,79,79,80,80,81,81,82,
82,83,83,84,84,85,85,86,86,87,87,88,88,89,89,90,90,91,91,92,92,93,93,94,
94,95,95,96,97,97,96,98,98],[
"fusion map is unique up to table autom.,\n",
"unique map that is compatible with Brauer tables"
]);
ALN("2^2.U6(2).3",["V4.U6(2).3"]);

MOT("2^2.U6(2).3.2",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11]"
],
[220723937280,73574645760,318504960,106168320,3538944,1179648,221184,1866240,
622080,1119744,373248,46656,15552,331776,36864,6144,6144,18432,6144,1536,720,
240,62208,20736,41472,13824,13824,4608,6912,2304,5184,1728,1728,576,1728,576,
168,56,384,128,128,648,216,648,216,240,80,132,44,2592,3456,1152,288,192,192,
576,192,360,120,216,72,41057280,466560,11664,4536,248832,155520,13824,10368,
3888,3456,1728,1296,576,432,72,1944,243,162,3456,1152,864,288,288,216,144,72,
48,90,45,216,54,21,48,30,33,33,36,5806080,5806080,92160,92160,18432,18432,
6144,6144,1536,1536,8640,8640,2592,2592,576,576,432,432,144,144,384,384,192,
128,128,120,120,40,40,576,576,288,288,192,192,144,144,48,48,28,28,32,32,36,36,
48,48,48,48,60,60],
[,[1,1,1,1,1,1,1,8,8,10,10,12,12,3,3,6,6,5,5,5,21,21,10,10,8,8,10,10,8,8,12,
12,12,12,12,12,37,37,15,16,16,42,42,44,44,21,21,48,48,23,25,25,23,28,28,29,29,
58,58,42,42,62,63,64,65,62,63,62,63,64,63,63,64,63,64,65,77,78,79,66,66,69,68,
69,73,72,73,72,89,90,77,79,93,81,89,96,97,91,1,2,1,2,5,6,5,6,5,6,8,9,10,11,8,
9,12,13,12,13,14,14,17,16,16,21,22,21,22,29,30,27,28,29,30,33,34,33,34,37,38,
39,39,44,45,51,52,55,55,58,59],[1,2,3,4,5,6,7,1,2,1,2,1,2,14,15,16,17,18,19,
20,21,22,3,4,3,4,5,6,5,6,3,4,5,6,7,7,37,38,39,40,41,10,11,10,11,46,47,48,49,
14,14,14,15,16,17,18,19,21,22,23,24,1,1,1,1,3,3,5,3,3,5,5,3,7,5,7,10,10,10,14,
15,14,18,15,14,18,15,20,21,21,23,23,37,39,46,48,48,50,99,100,101,102,103,104,
105,106,107,108,99,100,99,100,101,102,99,100,101,102,119,120,121,122,123,124,
125,126,127,103,104,103,104,105,106,103,104,107,108,138,139,140,141,111,112,
119,120,121,121,124,125],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,
1,2,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,3,4,
48,49,50,51,52,53,54,55,56,57,8,9,60,61,62,63,64,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,63,62,91,92,93,94,67,97,96,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,
119,120,121,122,123,99,100,101,102,128,129,130,131,132,133,134,135,136,137,
138,139,141,140,142,143,144,145,147,146,109,110],,[1,2,3,4,5,6,7,8,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,1,2,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,
91,92,65,94,95,97,96,98,99,100,101,102,103,104,105,106,107,108,109,110,111,
112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,
131,132,133,134,135,136,137,99,100,141,140,142,143,144,145,147,146,148,
149],,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,1,2,50,51,52,
53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,
79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,62,62,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,
122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,
141,142,143,144,145,146,147,148,149]],
0,
[(146,147),(140,141),(140,141)(146,147),(96,97),( 96, 97)(146,147)],
["ConstructGS3","2^2.U6(2).2","2^2.U6(2).3",
[18,19,39,40,43,44,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,
85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,
108,109,110,111,112,113,114,115],[[2,3],[5,6],[8,9],[11,12],[14,15],[17,18],
[20,21],[23,24],[25,28],[27,29],[26,30],[33,34],[36,37],[38,41],[40,42],[39,
43],[45,46],[48,49],[51,52],[54,55],[56,59],[58,60],[57,61],[63,64],[66,67],
[69,72],[71,73],[70,74],[77,78],[80,81],[83,84],[86,87],[89,90],[91,94],[93,
95],[92,96],[98,99],[100,103],[102,104],[101,105],[107,108],[110,111],[113,
114]],[[1,1],[4,3],[7,5],[10,7],[13,9],[16,11],[19,13],[22,15],[32,21],[35,
23],[44,26],[47,28],[50,30],[53,32],[62,35],[65,37],[76,46],[79,48],[82,50],
[85,52],[88,54],[97,57],[106,60],[109,62],[112,64]],
(  1, 28,121, 40,133, 68, 32,125, 46,139, 77, 51,144, 91, 84, 63, 21,114, 22,
115, 23,116, 30,123, 43,136, 73, 41,134, 70, 36,129, 55,148, 97, 93, 87, 75,
 47,140, 79, 52,145, 92, 83, 64, 24,117, 31,124, 45,138, 76, 50,143, 86, 72,
 37,130, 57,  3, 60, 12,105,  8,101,  2, 29,122, 42,135, 71, 38,131, 58,  6,
 66, 27,120, 39,132, 67, 26,119, 34,127, 49,142, 85, 69, 35,128, 54,147, 95,
 90, 82, 62, 18,111, 17,110, 16,109, 14,107, 11,104,  7,100)(  4, 61, 15,108,
 13,106, 10,103,  5, 65, 25,118, 33,126, 48,141, 80, 56,149, 98, 96, 89, 81,
 59,  9,102)( 19,112)( 20,113)( 44,137, 74)( 53,146, 94, 88, 78)]);
ALF("2^2.U6(2).3.2","U6(2).3.2",[1,1,2,2,3,3,4,5,5,6,6,7,7,8,9,10,10,11,
11,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,23,23,24,
24,25,25,26,26,27,27,28,29,29,30,31,31,32,32,33,33,34,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,
64,65,66,67,68,69,70,71,72,72,73,73,74,74,75,75,76,76,77,77,78,78,79,79,
80,80,81,81,82,82,83,84,85,86,86,87,87,88,88,89,89,90,90,91,91,92,92,93,
93,94,95,96,96,97,97,98,98,99,99]);
ALF("2^2.U6(2).3.2","F3+",[1,2,3,2,2,3,3,4,13,5,15,6,18,9,11,9,11,10,10,
10,12,35,17,15,16,13,15,17,13,16,21,18,18,21,14,21,24,52,27,26,26,31,60,
30,62,36,35,37,73,39,38,40,45,39,45,41,41,54,90,59,60,5,6,7,8,17,14,15,21,
20,18,18,22,21,19,23,29,32,33,39,45,42,44,48,43,49,50,49,56,55,61,63,70,
80,91,92,93,97,2,10,3,10,10,9,10,9,10,11,13,41,15,44,16,41,18,49,21,49,26,
26,27,26,26,35,67,36,67,41,38,44,39,41,40,49,42,49,48,52,87,57,57,62,98,
76,77,80,80,90,108],[
"fusion map is unique up to table automorphisms"
]);
ALN("2^2.U6(2).3.2",["2^2.U6(2):S3"]);

MOT("3.U6(2)",
[
"origin: ATLAS of finite groups, tests: 1.o.r."
],
[27590492160,27590492160,27590492160,39813120,39813120,39813120,442368,442368,
442368,110592,110592,110592,233280,233280,233280,139968,139968,139968,1944,
165888,165888,165888,18432,18432,18432,4608,4608,4608,4608,4608,4608,4608,
4608,4608,2304,2304,2304,768,768,768,90,90,90,15552,15552,15552,15552,15552,
15552,5184,5184,5184,1728,1728,1728,864,864,864,648,648,648,216,216,216,72,21,
21,21,192,192,192,96,96,96,96,96,96,96,96,96,162,162,162,162,162,162,27,30,30,
30,33,33,33,33,33,33,2592,2592,2592,2592,2592,2592,432,432,432,288,288,288,
288,288,288,144,144,144,144,144,144,144,144,144,72,72,72,45,45,45,54,54,54,54,
54,54],
[,[1,3,2,1,3,2,1,3,2,1,3,2,13,15,14,16,18,17,19,4,6,5,4,6,5,7,9,8,7,9,8,7,9,8,
7,9,8,7,9,8,41,43,42,16,18,17,16,18,17,13,15,14,16,18,17,13,15,14,19,19,19,19,
19,19,19,66,68,67,23,25,24,26,28,27,29,31,30,32,34,33,84,86,85,81,83,82,87,41,
43,42,94,96,95,91,93,92,47,49,48,44,46,45,50,52,51,47,49,48,44,46,45,53,55,54,
53,55,54,53,55,54,56,58,57,124,126,125,84,86,85,81,83,82],[1,1,1,4,4,4,7,7,7,
10,10,10,1,1,1,1,1,1,1,20,20,20,23,23,23,26,26,26,29,29,29,32,32,32,35,35,35,
38,38,38,41,41,41,4,4,4,4,4,4,4,4,4,7,7,7,7,7,7,4,4,4,7,7,7,10,66,66,66,69,69,
69,72,72,72,75,75,75,78,78,78,17,17,17,18,18,18,16,88,88,88,91,91,91,94,94,94,
20,20,20,20,20,20,20,20,20,23,23,23,23,23,23,26,26,26,29,29,29,32,32,32,35,35,
35,41,41,41,45,45,45,49,49,49],,[1,3,2,4,6,5,7,9,8,10,12,11,13,15,14,16,18,17,
19,20,22,21,23,25,24,26,28,27,29,31,30,32,34,33,35,37,36,38,40,39,1,3,2,47,49,
48,44,46,45,50,52,51,53,55,54,56,58,57,59,61,60,62,64,63,65,66,68,67,69,71,70,
72,74,73,75,77,76,78,80,79,84,86,85,81,83,82,87,4,6,5,91,93,92,94,96,95,100,
102,101,97,99,98,103,105,104,109,111,110,106,108,107,112,114,113,115,117,116,
118,120,119,121,123,122,13,15,14,130,132,131,127,129,128],,[1,2,3,4,5,6,7,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,
62,63,64,65,1,2,3,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,
89,90,94,95,96,91,92,93,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,
130,131,132],,,,[1,3,2,4,6,5,7,9,8,10,12,11,13,15,14,16,18,17,19,20,22,21,23,
25,24,26,28,27,29,31,30,32,34,33,35,37,36,38,40,39,41,43,42,47,49,48,44,46,45,
50,52,51,53,55,54,56,58,57,59,61,60,62,64,63,65,66,68,67,69,71,70,72,74,73,75,
77,76,78,80,79,84,86,85,81,83,82,87,88,90,89,1,3,2,1,3,2,100,102,101,97,99,98,
103,105,104,109,111,110,106,108,107,112,114,113,115,117,116,118,120,119,121,
123,122,124,126,125,130,132,131,127,129,128]],
0,
[(91,94)(92,95)(93,96),(  2,  3)(  5,  6)(  8,  9)( 11, 12)( 14, 15)( 17, 18)
( 21, 22)( 24, 25)( 27, 28)( 30, 31)( 33, 34)( 36, 37)( 39, 40)( 42, 43)
( 44, 47)( 45, 49)( 46, 48)( 51, 52)( 54, 55)( 57, 58)( 60, 61)( 63, 64)
( 67, 68)( 70, 71)( 73, 74)( 76, 77)( 79, 80)( 81, 84)( 82, 86)( 83, 85)
( 89, 90)( 92, 93)( 95, 96)( 97,100)( 98,102)( 99,101)(104,105)(106,109)
(107,111)(108,110)(113,114)(116,117)(119,120)(122,123)(125,126)(127,130)
(128,132)(129,131),( 29, 32)( 30, 33)( 31, 34)( 75, 78)( 76, 79)( 77, 80)
(115,118)(116,119)(117,120),( 26, 29)( 27, 30)( 28, 31)( 72, 75)( 73, 76)
( 74, 77)(112,115)(113,116)(114,117)],
["ConstructProj",[["U6(2)",[]],,["3.U6(2)",[-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
23,23,-1,-1,-1,-1]]]]);
ARC("3.U6(2)","maxes",["3xU5(2)","3x2^(1+8)_+:U4(2)","3.U6(2)M3",
"3_1.U4(3).2_2","3.U6(2)M5","3.U6(2)M6","3x2^(4+8):(S3xA5)","3xS6(2)",
"3.U6(2)M9","3.U6(2)M10","3.M22","3.U6(2)M12","3.U6(2)M13","3xS3xU4(2)",
"3.(3^(1+4).[2^7.3])","3.L3(4).2_1"]);
ALF("3.U6(2)","U6(2)",[1,1,1,2,2,2,3,3,3,4,4,4,5,5,5,6,6,6,7,8,8,8,9,9,9,
10,10,10,11,11,11,12,12,12,13,13,13,14,14,14,15,15,15,16,16,16,17,17,17,
18,18,18,19,19,19,20,20,20,21,21,21,22,22,22,23,24,24,24,25,25,25,26,26,
26,27,27,27,28,28,28,29,29,29,30,30,30,31,32,32,32,33,33,33,34,34,34,35,
35,35,36,36,36,37,37,37,38,38,38,39,39,39,40,40,40,41,41,41,42,42,42,43,
43,43,44,44,44,45,45,45,46,46,46]);
ALF("3.U6(2)","3.U6(2).2",[1,2,2,3,4,4,5,6,6,7,8,8,9,10,10,11,12,12,13,14,
15,15,16,17,17,18,19,19,20,21,22,20,22,21,23,24,24,25,26,26,27,28,28,29,
30,31,29,31,30,32,33,33,34,35,35,36,37,37,38,39,39,40,41,41,42,43,44,44,
45,46,46,47,48,48,49,50,51,49,51,50,52,53,54,52,54,53,55,56,57,57,58,59,
60,58,60,59,61,62,63,61,63,62,64,65,65,66,67,68,66,68,67,69,70,70,71,72,
73,71,73,72,74,75,75,76,77,77,78,79,80,78,80,79],[
"fusion map is unique up to table autom.,\n",
"compatible with Brauer tables and factors"
]);
ALF("3.U6(2)","3.U6(2).3",[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,26,27,28,26,27,28,29,30,31,32,33,34,35,36,
37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,
61,62,63,64,65,66,67,68,66,67,68,66,67,68,69,70,71,72,73,74,75,76,77,78,
79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,
102,100,101,102,100,101,102,103,104,105,106,107,108,109,110,111,112,113,
114],[
"fusion map is unique up to table autom.,\n",
"compatible with Brauer tables and factors"
]);

MOT("3.U6(2).2",
[
"origin: ATLAS of finite groups"
],
[55180984320,27590492160,79626240,39813120,884736,442368,221184,110592,466560,
233280,279936,139968,3888,331776,165888,36864,18432,9216,4608,4608,4608,4608,
4608,2304,1536,768,180,90,15552,15552,15552,10368,5184,3456,1728,1728,864,
1296,648,432,216,144,42,21,384,192,192,96,96,96,96,162,162,162,54,60,30,33,33,
33,2592,2592,2592,864,432,288,288,288,288,144,144,144,144,144,72,90,45,54,54,
54,2903040,46080,9216,3072,768,4320,1296,288,216,72,192,192,128,128,60,20,288,
144,96,72,24,14,32,32,18,24,24,30],
[,[1,2,1,2,1,2,1,2,9,10,11,12,13,3,4,3,4,5,6,5,6,6,5,6,5,6,27,28,11,12,12,9,
10,11,12,9,10,13,13,13,13,13,43,44,16,17,18,19,20,22,21,52,53,54,55,27,28,58,
59,60,29,30,31,32,33,29,30,31,34,35,34,35,35,36,37,76,77,52,53,54,1,1,5,5,5,9,
11,9,13,13,14,18,18,18,27,27,36,34,36,40,40,43,45,45,55,64,69,76],[1,1,3,3,5,
5,7,7,1,1,1,1,1,14,14,16,16,18,18,20,20,20,23,23,25,25,27,27,3,3,3,3,3,5,5,5,
5,3,3,5,5,7,43,43,45,45,47,47,49,49,49,12,12,12,11,56,56,58,58,58,14,14,14,14,
14,16,16,16,18,18,20,20,20,23,23,27,27,30,30,30,81,82,83,84,85,81,81,82,81,82,
91,92,93,94,95,96,83,83,84,83,85,102,103,104,87,91,92,95],,[1,2,3,4,5,6,7,8,9,
10,11,12,13,14,15,16,17,18,19,20,22,21,23,24,25,26,1,2,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,50,52,53,54,55,3,4,58,60,59,61,
62,63,64,65,66,67,68,69,70,71,73,72,74,75,9,10,78,79,80,81,82,83,84,85,86,87,
88,89,90,91,92,93,94,81,82,97,98,99,100,101,102,104,103,105,106,107,86],,[1,2,
3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,
31,32,33,34,35,36,37,38,39,40,41,42,1,2,45,46,47,48,49,50,51,52,53,54,55,56,
57,58,60,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,
83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,81,104,103,105,106,
107,108],,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,21,23,24,
25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,
50,52,53,54,55,56,57,1,2,2,61,62,63,64,65,66,67,68,69,70,71,73,72,74,75,76,77,
78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,105,106,107,108]],
0,
[(103,104),(59,60),(21,22)(50,51)(72,73),(21,22)(50,51)(59,60)(72,73)],
["ConstructMGA","3.U6(2)","U6(2).2",
     [ [ 47, 48 ], [ 49, 50 ], [ 51, 52 ], [ 53, 54 ], [ 55, 56 ],
        [ 57, 58 ], [ 59, 60 ], [ 61, 62 ], [ 63, 66 ], [ 64, 65 ],
        [ 67, 68 ], [ 69, 70 ], [ 71, 72 ], [ 73, 74 ], [ 75, 76 ],
        [ 77, 78 ], [ 79, 82 ], [ 80, 81 ], [ 83, 84 ], [ 85, 86 ],
        [ 87, 88 ], [ 89, 90 ], [ 91, 92 ], [ 93, 94 ], [ 95, 96 ],
        [ 97, 98 ], [ 99, 100 ], [ 101, 102 ], [ 103, 104 ], [ 105, 108 ],
        [ 106, 107 ], [ 109, 110 ], [ 111, 112 ], [ 113, 114 ], [ 115, 116 ],
        [ 117, 118 ], [ 119, 120 ], [ 121, 124 ], [ 122, 123 ], [ 125, 126 ],
        [ 127, 128 ], [ 129, 130 ], [ 131, 132 ] ], ()]);
ALF("3.U6(2).2","U6(2).2",[1,1,2,2,3,3,4,4,5,5,6,6,7,8,8,9,9,10,10,11,11,
11,12,12,13,13,14,14,15,15,15,16,16,17,17,18,18,19,19,20,20,21,22,22,23,
23,24,24,25,25,25,26,26,26,27,28,28,29,29,29,30,30,30,31,31,32,32,32,33,
33,34,34,34,35,35,36,36,37,37,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65]);
ALF("3.U6(2).2","3.U6(2).3.2",[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,
18,19,18,19,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,
39,40,41,42,43,44,45,44,45,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,
60,61,62,63,64,63,64,64,65,66,67,68,69,70,71,177,178,179,180,181,182,183,
184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,
202,203,204]);

MOT("3.U6(2).3",
[
"origin: ATLAS of finite groups"
],
[82771476480,82771476480,82771476480,119439360,119439360,119439360,1327104,
1327104,1327104,331776,331776,331776,699840,699840,699840,419904,419904,
419904,5832,497664,497664,497664,55296,55296,55296,4608,4608,4608,6912,6912,
6912,2304,2304,2304,270,270,270,46656,46656,46656,46656,46656,46656,15552,
15552,15552,5184,5184,5184,2592,2592,2592,1944,1944,1944,648,648,648,216,63,
63,63,576,576,576,96,96,96,486,486,486,486,486,486,81,90,90,90,99,99,99,99,99,
99,7776,7776,7776,7776,7776,7776,1296,1296,1296,864,864,864,864,864,864,144,
144,144,216,216,216,135,135,135,162,162,162,162,162,162,123171840,123171840,
123171840,123171840,123171840,123171840,1399680,1399680,1399680,1399680,
1399680,1399680,34992,34992,34992,34992,34992,34992,4536,4536,746496,746496,
746496,746496,746496,746496,466560,466560,466560,466560,466560,466560,41472,
41472,41472,41472,41472,41472,31104,31104,31104,31104,31104,31104,11664,11664,
11664,11664,11664,11664,10368,10368,10368,10368,10368,10368,5184,5184,5184,
5184,5184,5184,3888,3888,3888,3888,3888,3888,1728,1728,1728,1728,1728,1728,
1296,1296,1296,1296,1296,1296,72,72,5832,5832,5832,5832,5832,5832,243,243,486,
486,486,486,486,486,10368,10368,10368,10368,10368,10368,3456,3456,3456,3456,
3456,3456,2592,2592,2592,2592,2592,2592,864,864,864,864,864,864,864,864,864,
864,864,864,648,648,648,648,648,648,432,432,432,432,432,432,216,216,216,216,
216,216,144,144,144,144,144,144,270,270,270,270,270,270,135,135,135,135,135,
135,648,648,648,648,648,648,162,162,162,162,162,162,63,63,63,63,63,63,144,144,
144,144,144,144,90,90,90,90,90,90,99,99,99,99,99,99,99,99,99,99,99,99,108,108,
108,108,108,108],
[,[1,3,2,1,3,2,1,3,2,1,3,2,13,15,14,16,18,17,19,4,6,5,4,6,5,7,9,8,7,9,8,7,9,8,
35,37,36,16,18,17,16,18,17,13,15,14,16,18,17,13,15,14,19,19,19,19,19,19,19,60,
62,61,23,25,24,26,28,27,72,74,73,69,71,70,75,35,37,36,82,84,83,79,81,80,41,43,
42,38,40,39,44,46,45,41,43,42,38,40,39,47,49,48,50,52,51,106,108,107,72,74,73,
69,71,70,118,119,120,115,116,117,124,125,126,121,122,123,130,131,132,127,128,
129,134,133,118,119,120,115,116,117,124,125,126,121,122,123,118,119,120,115,
116,117,124,125,126,121,122,123,130,131,132,127,128,129,124,125,126,121,122,
123,124,125,126,121,122,123,130,131,132,127,128,129,124,125,126,121,122,123,
130,131,132,127,128,129,134,133,200,201,202,197,198,199,204,203,208,209,210,
205,206,207,138,139,140,135,136,137,138,139,140,135,136,137,156,157,158,153,
154,155,150,151,152,147,148,149,156,157,158,153,154,155,180,181,182,177,178,
179,174,175,176,171,172,173,180,181,182,177,178,179,174,175,176,171,172,173,
268,269,270,265,266,267,274,275,276,271,272,273,200,201,202,197,198,199,208,
209,210,205,206,207,292,293,294,289,290,291,220,221,222,217,218,219,268,269,
270,265,266,267,316,317,318,313,314,315,310,311,312,307,308,309,280,281,282,
277,278,279],[1,1,1,4,4,4,7,7,7,10,10,10,1,1,1,1,1,1,1,20,20,20,23,23,23,26,
26,26,29,29,29,32,32,32,35,35,35,4,4,4,4,4,4,4,4,4,7,7,7,7,7,7,4,4,4,7,7,7,10,
60,60,60,63,63,63,66,66,66,17,17,17,18,18,18,16,76,76,76,79,79,79,82,82,82,20,
20,20,20,20,20,20,20,20,23,23,23,23,23,23,26,26,26,29,29,29,35,35,35,39,39,39,
43,43,43,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,7,7,
7,7,7,7,4,4,4,4,4,4,4,4,4,4,4,4,7,7,7,7,7,7,7,7,7,7,7,7,4,4,4,4,4,4,10,10,10,
10,10,10,7,7,7,7,7,7,11,12,17,17,17,18,18,18,17,18,18,18,18,17,17,17,20,20,20,
20,20,20,23,23,23,23,23,23,20,20,20,20,20,20,29,29,29,29,29,29,23,23,23,23,23,
23,20,20,20,20,20,20,29,29,29,29,29,29,23,23,23,23,23,23,32,32,32,32,32,32,35,
35,35,35,35,35,35,35,35,35,35,35,39,39,39,43,43,43,43,43,43,39,39,39,61,61,61,
62,62,62,63,63,63,63,63,63,76,76,76,76,76,76,79,79,79,79,79,79,82,82,82,82,82,
82,86,86,86,90,90,90],,[1,3,2,4,6,5,7,9,8,10,12,11,13,15,14,16,18,17,19,20,22,
21,23,25,24,26,28,27,29,31,30,32,34,33,1,3,2,41,43,42,38,40,39,44,46,45,47,49,
48,50,52,51,53,55,54,56,58,57,59,60,62,61,63,65,64,66,68,67,72,74,73,69,71,70,
75,4,6,5,79,81,80,82,84,83,88,90,89,85,87,86,91,93,92,97,99,98,94,96,95,100,
102,101,103,105,104,13,15,14,112,114,113,109,111,110,118,119,120,115,116,117,
124,125,126,121,122,123,130,131,132,127,128,129,134,133,138,139,140,135,136,
137,144,145,146,141,142,143,150,151,152,147,148,149,156,157,158,153,154,155,
162,163,164,159,160,161,168,169,170,165,166,167,174,175,176,171,172,173,180,
181,182,177,178,179,186,187,188,183,184,185,192,193,194,189,190,191,196,195,
200,201,202,197,198,199,204,203,208,209,210,205,206,207,214,215,216,211,212,
213,220,221,222,217,218,219,226,227,228,223,224,225,232,233,234,229,230,231,
238,239,240,235,236,237,244,245,246,241,242,243,250,251,252,247,248,249,256,
257,258,253,254,255,262,263,264,259,260,261,124,125,126,121,122,123,118,119,
120,115,116,117,280,281,282,277,278,279,286,287,288,283,284,285,294,292,293,
291,289,290,298,299,300,295,296,297,144,145,146,141,142,143,310,311,312,307,
308,309,316,317,318,313,314,315,322,323,324,319,320,321],,[1,2,3,4,5,6,7,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,1,2,3,
63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,82,83,84,79,80,81,85,86,87,88,
89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,
130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,
149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,
168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,
187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,
206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,
225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,
244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,
263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,
282,283,284,285,286,287,288,133,133,133,134,134,134,295,296,297,298,299,300,
301,302,303,304,305,306,313,314,315,316,317,318,307,308,309,310,311,312,319,
320,321,322,323,324],,,,[1,3,2,4,6,5,7,9,8,10,12,11,13,15,14,16,18,17,19,20,
22,21,23,25,24,26,28,27,29,31,30,32,34,33,35,37,36,41,43,42,38,40,39,44,46,45,
47,49,48,50,52,51,53,55,54,56,58,57,59,60,62,61,63,65,64,66,68,67,72,74,73,69,
71,70,75,76,78,77,1,3,2,1,3,2,88,90,89,85,87,86,91,93,92,97,99,98,94,96,95,
100,102,101,103,105,104,106,108,107,112,114,113,109,111,110,118,119,120,115,
116,117,124,125,126,121,122,123,130,131,132,127,128,129,134,133,138,139,140,
135,136,137,144,145,146,141,142,143,150,151,152,147,148,149,156,157,158,153,
154,155,162,163,164,159,160,161,168,169,170,165,166,167,174,175,176,171,172,
173,180,181,182,177,178,179,186,187,188,183,184,185,192,193,194,189,190,191,
196,195,200,201,202,197,198,199,204,203,208,209,210,205,206,207,214,215,216,
211,212,213,220,221,222,217,218,219,226,227,228,223,224,225,232,233,234,229,
230,231,238,239,240,235,236,237,244,245,246,241,242,243,250,251,252,247,248,
249,256,257,258,253,254,255,262,263,264,259,260,261,268,269,270,265,266,267,
274,275,276,271,272,273,280,281,282,277,278,279,286,287,288,283,284,285,293,
294,292,290,291,289,298,299,300,295,296,297,304,305,306,301,302,303,118,119,
120,115,116,117,118,119,120,115,116,117,322,323,324,319,320,321]],
0,
[(289,291,290)(292,294,293),( 79, 82)( 80, 83)( 81, 84)(307,313)(308,314)
(309,315)(310,316)(311,317)(312,318),(  2,  3)(  5,  6)(  8,  9)( 11, 12)
( 14, 15)( 17, 18)( 21, 22)( 24, 25)( 27, 28)( 30, 31)( 33, 34)( 36, 37)
( 38, 41)( 39, 43)( 40, 42)( 45, 46)( 48, 49)( 51, 52)( 54, 55)( 57, 58)
( 61, 62)( 64, 65)( 67, 68)( 69, 72)( 70, 74)( 71, 73)( 77, 78)( 80, 81)
( 83, 84)( 85, 88)( 86, 90)( 87, 89)( 92, 93)( 94, 97)( 95, 99)( 96, 98)
(101,102)(104,105)(107,108)(109,112)(110,114)(111,113)(115,118)(116,119)
(117,120)(121,124)(122,125)(123,126)(127,130)(128,131)(129,132)(133,134)
(135,138)(136,139)(137,140)(141,144)(142,145)(143,146)(147,150)(148,151)
(149,152)(153,156)(154,157)(155,158)(159,162)(160,163)(161,164)(165,168)
(166,169)(167,170)(171,174)(172,175)(173,176)(177,180)(178,181)(179,182)
(183,186)(184,187)(185,188)(189,192)(190,193)(191,194)(195,196)(197,200)
(198,201)(199,202)(203,204)(205,208)(206,209)(207,210)(211,214)(212,215)
(213,216)(217,220)(218,221)(219,222)(223,226)(224,227)(225,228)(229,232)
(230,233)(231,234)(235,238)(236,239)(237,240)(241,244)(242,245)(243,246)
(247,250)(248,251)(249,252)(253,256)(254,257)(255,258)(259,262)(260,263)
(261,264)(265,268)(266,269)(267,270)(271,274)(272,275)(273,276)(277,280)
(278,281)(279,282)(283,286)(284,287)(285,288)(289,294,290,292,291,293)
(295,298)(296,299)(297,300)(301,304)(302,305)(303,306)(307,310)(308,311)
(309,312)(313,316)(314,317)(315,318)(319,322)(320,323)(321,324),(115,116,117)
(118,119,120)(121,122,123)(124,125,126)(127,128,129)(130,131,132)(135,136,137)
(138,139,140)(141,142,143)(144,145,146)(147,148,149)(150,151,152)(153,154,155)
(156,157,158)(159,160,161)(162,163,164)(165,166,167)(168,169,170)(171,172,173)
(174,175,176)(177,178,179)(180,181,182)(183,184,185)(186,187,188)(189,190,191)
(192,193,194)(197,198,199)(200,201,202)(205,206,207)(208,209,210)(211,212,213)
(214,215,216)(217,218,219)(220,221,222)(223,224,225)(226,227,228)(229,230,231)
(232,233,234)(235,236,237)(238,239,240)(241,242,243)(244,245,246)(247,248,249)
(250,251,252)(253,254,255)(256,257,258)(259,260,261)(262,263,264)(265,266,267)
(268,269,270)(271,272,273)(274,275,276)(277,278,279)(280,281,282)(283,284,285)
(286,287,288)(295,296,297)(298,299,300)(301,302,303)(304,305,306)(307,308,309)
(310,311,312)(313,314,315)(316,317,318)(319,320,321)(322,323,324)],
["ConstructProj",[["U6(2).3",[]],,["3.U6(2).3",[-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,23,23,-1,-1,-1,
-55]]]]);
ALF("3.U6(2).3","U6(2).3",[1,1,1,2,2,2,3,3,3,4,4,4,5,5,5,6,6,6,7,8,8,8,9,
9,9,10,10,10,11,11,11,12,12,12,13,13,13,14,14,14,15,15,15,16,16,16,17,17,
17,18,18,18,19,19,19,20,20,20,21,22,22,22,23,23,23,24,24,24,25,25,25,26,
26,26,27,28,28,28,29,29,29,30,30,30,31,31,31,32,32,32,33,33,33,34,34,34,
35,35,35,36,36,36,37,37,37,38,38,38,39,39,39,40,40,40,41,41,41,42,42,42,
43,43,43,44,44,44,45,45,45,46,46,46,47,48,49,49,49,50,50,50,51,51,51,52,
52,52,53,53,53,54,54,54,55,55,55,56,56,56,57,57,57,58,58,58,59,59,59,60,
60,60,61,61,61,62,62,62,63,63,63,64,64,64,65,65,65,66,66,66,67,67,67,68,
68,68,69,70,71,71,71,72,72,72,73,74,75,75,75,76,76,76,77,77,77,78,78,78,
79,79,79,80,80,80,81,81,81,82,82,82,83,83,83,84,84,84,85,85,85,86,86,86,
87,87,87,88,88,88,89,89,89,90,90,90,91,91,91,92,92,92,93,93,93,94,94,94,
95,95,95,96,96,96,97,97,97,98,98,98,99,99,99,100,100,100,101,101,101,102,
102,102,103,103,103,104,104,104,105,105,105,106,106,106,107,107,107,108,
108,108,109,109,109,110,110,110,111,111,111,112,112,112,113,113,113,114,
114,114]);
ALF("3.U6(2).3","3.U6(2).3.2",[1,2,2,3,4,4,5,6,6,7,8,8,9,10,10,11,12,12,13,
14,15,15,16,17,17,18,19,19,20,21,21,22,23,23,24,25,25,26,27,28,26,28,27,
29,30,30,31,32,32,33,34,34,35,36,36,37,38,38,39,40,41,41,42,43,43,44,45,
45,46,47,48,46,48,47,49,50,51,51,52,53,54,52,54,53,55,56,57,55,57,56,58,
59,59,60,61,62,60,62,61,63,64,64,65,66,66,67,68,68,69,70,71,69,71,70,72,
73,74,72,73,74,75,76,77,75,76,77,78,79,80,78,79,80,81,81,82,83,84,82,83,
84,85,86,87,85,86,87,88,89,90,88,89,90,91,92,93,91,92,93,94,95,96,94,95,
96,97,98,99,97,98,99,100,101,102,100,101,102,103,104,105,103,104,105,106,
107,108,106,107,108,109,110,111,109,110,111,112,112,113,114,115,113,114,
115,116,116,117,118,119,117,118,119,120,121,122,120,121,122,123,124,125,
123,124,125,126,127,128,126,127,128,129,130,131,129,130,131,132,133,134,
132,133,134,135,136,137,135,136,137,138,139,140,138,139,140,141,142,143,
141,142,143,144,145,146,144,145,146,147,148,149,147,148,149,150,151,152,
150,151,152,153,154,155,153,154,155,156,157,158,156,157,158,159,160,161,
159,160,161,162,163,164,162,163,164,165,166,167,165,166,167,168,169,170,
171,172,173,171,172,173,168,169,170,174,175,176,174,175,176]);

MOT("Isoclinic(3.U6(2).3,1)",
[
"1st isoclinic group of the 3.U6(2).3 given in the ATLAS"
],
0,
0,
0,
[(2,3)(5,6)(8,9)(11,12)(14,15)(17,18)(21,22)(24,25)(27,28)(30,31)(33,34)(36,
37)(38,41)(39,43)(40,42)(45,46)(48,49)(51,52)(54,55)(57,58)(61,62)(64,65)(67,
68)(69,72)(70,74)(71,73)(77,78)(80,81)(83,84)(85,88)(86,90)(87,89)(92,93)(94,
97)(95,99)(96,98)(101,102)(104,105)(107,108)(109,112)(110,114)(111,113)(115,
118,116,119,117,120)(121,124,122,125,123,126)(127,130,128,131,129,132)(133,
134)(135,138,136,139,137,140)(141,144,142,145,143,146)(147,150,148,151,149,
152)(153,156,154,157,155,158)(159,162,160,163,161,164)(165,168,166,169,167,
170)(171,174,172,175,173,176)(177,180,178,181,179,182)(183,186,184,187,185,
188)(189,192,190,193,191,194)(195,196)(197,200,198,201,199,202)(203,204)(205,
208,206,209,207,210)(211,214,212,215,213,216)(217,220,218,221,219,222)(223,
226,224,227,225,228)(229,232,230,233,231,234)(235,238,236,239,237,240)(241,
244,242,245,243,246)(247,250,248,251,249,252)(253,256,254,257,255,258)(259,
262,260,263,261,264)(265,268,266,269,267,270)(271,274,272,275,273,276)(277,
280,278,281,279,282)(283,286,284,287,285,288)(289,292,290,293,291,294)(295,
298,296,299,297,300)(301,304,302,305,303,306)(307,310,308,311,309,312)(313,
316,314,317,315,318)(319,322,320,323,321,324),(289,290,291)(292,293,294),(115,
116,117)(118,119,120)(121,122,123)(124,125,126)(127,128,129)(130,131,132)(135,
136,137)(138,139,140)(141,142,143)(144,145,146)(147,148,149)(150,151,152)(153,
154,155)(156,157,158)(159,160,161)(162,163,164)(165,166,167)(168,169,170)(171,
172,173)(174,175,176)(177,178,179)(180,181,182)(183,184,185)(186,187,188)(189,
190,191)(192,193,194)(197,198,199)(200,201,202)(205,206,207)(208,209,210)(211,
212,213)(214,215,216)(217,218,219)(220,221,222)(223,224,225)(226,227,228)(229,
230,231)(232,233,234)(235,236,237)(238,239,240)(241,242,243)(244,245,246)(247,
248,249)(250,251,252)(253,254,255)(256,257,258)(259,260,261)(262,263,264)(265,
266,267)(268,269,270)(271,272,273)(274,275,276)(277,278,279)(280,281,282)(283,
284,285)(286,287,288)(295,296,297)(298,299,300)(301,302,303)(304,305,306)(307,
308,309)(310,311,312)(313,314,315)(316,317,318)(319,320,321)(322,323,324),(79,
82)(80,83)(81,84)(307,313)(308,314)(309,315)(310,316)(311,317)(312,318)],
["ConstructIsoclinic",[["3.U6(2).3"]],rec(k:=1)]);
ALF("Isoclinic(3.U6(2).3,1)","U6(2).3",[1,1,1,2,2,2,3,3,3,4,4,4,5,5,5,6,6,
6,7,8,8,8,9,9,9,10,10,10,11,11,11,12,12,12,13,13,13,14,14,14,15,15,15,16,
16,16,17,17,17,18,18,18,19,19,19,20,20,20,21,22,22,22,23,23,23,24,24,24,
25,25,25,26,26,26,27,28,28,28,29,29,29,30,30,30,31,31,31,32,32,32,33,33,
33,34,34,34,35,35,35,36,36,36,37,37,37,38,38,38,39,39,39,40,40,40,41,41,
41,42,42,42,43,43,43,44,44,44,45,45,45,46,46,46,47,48,49,49,49,50,50,50,
51,51,51,52,52,52,53,53,53,54,54,54,55,55,55,56,56,56,57,57,57,58,58,58,
59,59,59,60,60,60,61,61,61,62,62,62,63,63,63,64,64,64,65,65,65,66,66,66,
67,67,67,68,68,68,69,70,71,71,71,72,72,72,73,74,75,75,75,76,76,76,77,77,
77,78,78,78,79,79,79,80,80,80,81,81,81,82,82,82,83,83,83,84,84,84,85,85,
85,86,86,86,87,87,87,88,88,88,89,89,89,90,90,90,91,91,91,92,92,92,93,93,
93,94,94,94,95,95,95,96,96,96,97,97,97,98,98,98,99,99,99,100,100,100,101,
101,101,102,102,102,103,103,103,104,104,104,105,105,105,106,106,106,107,
107,107,108,108,108,109,109,109,110,110,110,111,111,111,112,112,112,113,
113,113,114,114,114]);

MOT("Isoclinic(3.U6(2).3,2)",
[
"2nd isoclinic group of the 3.U6(2).3 given in the ATLAS"
],
0,
0,
0,
[(2,3)(5,6)(8,9)(11,12)(14,15)(17,18)(21,22)(24,25)(27,28)(30,31)(33,34)(36,
37)(38,41)(39,43)(40,42)(45,46)(48,49)(51,52)(54,55)(57,58)(61,62)(64,65)(67,
68)(69,72)(70,74)(71,73)(77,78)(80,81)(83,84)(85,88)(86,90)(87,89)(92,93)(94,
97)(95,99)(96,98)(101,102)(104,105)(107,108)(109,112)(110,114)(111,113)(115,
118,117,120,116,119)(121,124,123,126,122,125)(127,130,129,132,128,131)(133,
134)(135,138,137,140,136,139)(141,144,143,146,142,145)(147,150,149,152,148,
151)(153,156,155,158,154,157)(159,162,161,164,160,163)(165,168,167,170,166,
169)(171,174,173,176,172,175)(177,180,179,182,178,181)(183,186,185,188,184,
187)(189,192,191,194,190,193)(195,196)(197,200,199,202,198,201)(203,204)(205,
208,207,210,206,209)(211,214,213,216,212,215)(217,220,219,222,218,221)(223,
226,225,228,224,227)(229,232,231,234,230,233)(235,238,237,240,236,239)(241,
244,243,246,242,245)(247,250,249,252,248,251)(253,256,255,258,254,257)(259,
262,261,264,260,263)(265,268,267,270,266,269)(271,274,273,276,272,275)(277,
280,279,282,278,281)(283,286,285,288,284,287)(289,292,291,294,290,293)(295,
298,297,300,296,299)(301,304,303,306,302,305)(307,310,309,312,308,311)(313,
316,315,318,314,317)(319,322,321,324,320,323),(289,290,291)(292,293,294),(115,
116,117)(118,119,120)(121,122,123)(124,125,126)(127,128,129)(130,131,132)(135,
136,137)(138,139,140)(141,142,143)(144,145,146)(147,148,149)(150,151,152)(153,
154,155)(156,157,158)(159,160,161)(162,163,164)(165,166,167)(168,169,170)(171,
172,173)(174,175,176)(177,178,179)(180,181,182)(183,184,185)(186,187,188)(189,
190,191)(192,193,194)(197,198,199)(200,201,202)(205,206,207)(208,209,210)(211,
212,213)(214,215,216)(217,218,219)(220,221,222)(223,224,225)(226,227,228)(229,
230,231)(232,233,234)(235,236,237)(238,239,240)(241,242,243)(244,245,246)(247,
248,249)(250,251,252)(253,254,255)(256,257,258)(259,260,261)(262,263,264)(265,
266,267)(268,269,270)(271,272,273)(274,275,276)(277,278,279)(280,281,282)(283,
284,285)(286,287,288)(295,296,297)(298,299,300)(301,302,303)(304,305,306)(307,
308,309)(310,311,312)(313,314,315)(316,317,318)(319,320,321)(322,323,324),(79,
82)(80,83)(81,84)(307,313)(308,314)(309,315)(310,316)(311,317)(312,318)],
["ConstructIsoclinic",[["3.U6(2).3"]],rec(k:=2)]);
ALF("Isoclinic(3.U6(2).3,2)","U6(2).3",[1,1,1,2,2,2,3,3,3,4,4,4,5,5,5,6,6,
6,7,8,8,8,9,9,9,10,10,10,11,11,11,12,12,12,13,13,13,14,14,14,15,15,15,16,
16,16,17,17,17,18,18,18,19,19,19,20,20,20,21,22,22,22,23,23,23,24,24,24,
25,25,25,26,26,26,27,28,28,28,29,29,29,30,30,30,31,31,31,32,32,32,33,33,
33,34,34,34,35,35,35,36,36,36,37,37,37,38,38,38,39,39,39,40,40,40,41,41,
41,42,42,42,43,43,43,44,44,44,45,45,45,46,46,46,47,48,49,49,49,50,50,50,
51,51,51,52,52,52,53,53,53,54,54,54,55,55,55,56,56,56,57,57,57,58,58,58,
59,59,59,60,60,60,61,61,61,62,62,62,63,63,63,64,64,64,65,65,65,66,66,66,
67,67,67,68,68,68,69,70,71,71,71,72,72,72,73,74,75,75,75,76,76,76,77,77,
77,78,78,78,79,79,79,80,80,80,81,81,81,82,82,82,83,83,83,84,84,84,85,85,
85,86,86,86,87,87,87,88,88,88,89,89,89,90,90,90,91,91,91,92,92,92,93,93,
93,94,94,94,95,95,95,96,96,96,97,97,97,98,98,98,99,99,99,100,100,100,101,
101,101,102,102,102,103,103,103,104,104,104,105,105,105,106,106,106,107,
107,107,108,108,108,109,109,109,110,110,110,111,111,111,112,112,112,113,
113,113,114,114,114]);

MOT("6.U6(2)",
[
"origin: ATLAS of finite groups, tests: 1.o.r."
],
[55180984320,55180984320,55180984320,55180984320,55180984320,55180984320,
79626240,79626240,79626240,79626240,79626240,79626240,884736,884736,884736,
884736,884736,884736,110592,110592,110592,466560,466560,466560,466560,466560,
466560,279936,279936,279936,279936,279936,279936,3888,3888,165888,165888,
165888,18432,18432,18432,9216,9216,9216,9216,9216,9216,4608,4608,4608,4608,
4608,4608,4608,4608,4608,4608,4608,4608,768,768,768,180,180,180,180,180,180,
31104,31104,31104,31104,31104,31104,31104,31104,31104,31104,31104,31104,10368,
10368,10368,10368,10368,10368,3456,3456,3456,3456,3456,3456,1728,1728,1728,
1728,1728,1728,1296,1296,1296,1296,1296,1296,432,432,432,432,432,432,144,144,
42,42,42,42,42,42,192,192,192,192,192,192,192,192,192,96,96,96,96,96,96,324,
324,324,324,324,324,324,324,324,324,324,324,54,54,60,60,60,60,60,60,66,66,66,
66,66,66,66,66,66,66,66,66,2592,2592,2592,2592,2592,2592,864,864,864,864,864,
864,288,288,288,288,288,288,288,288,288,288,288,288,144,144,144,144,144,144,
144,144,144,144,144,144,90,90,90,90,90,90,108,108,108,108,108,108,108,108,108,
108,108,108],
[,[1,3,5,1,3,5,1,3,5,1,3,5,1,3,5,1,3,5,1,3,5,22,24,26,22,24,26,28,30,32,28,30,
32,34,34,7,9,11,7,9,11,13,15,17,13,15,17,16,18,14,16,18,14,13,15,17,13,15,17,
13,15,17,63,65,67,63,65,67,28,30,32,28,30,32,28,30,32,28,30,32,22,24,26,22,24,
26,28,30,32,28,30,32,22,24,26,22,24,26,34,34,34,34,34,34,34,34,34,34,34,34,34,
34,113,115,117,113,115,117,39,41,40,42,44,46,42,44,46,48,50,49,51,53,52,140,
142,144,140,142,144,134,136,138,134,136,138,146,146,63,65,67,63,65,67,160,162,
164,160,162,164,154,156,158,154,156,158,75,77,79,69,71,73,81,83,85,81,83,85,
75,77,79,69,71,73,87,89,91,87,89,91,90,92,88,90,92,88,93,95,97,93,95,97,202,
204,206,202,204,206,140,142,144,140,142,144,134,136,138,134,136,138],[1,4,1,4,
1,4,7,10,7,10,7,10,13,16,13,16,13,16,19,19,19,1,4,1,4,1,4,1,4,1,4,1,4,1,4,36,
36,36,39,39,39,42,45,42,45,42,45,48,48,48,51,51,51,54,57,54,57,54,57,60,60,60,
63,66,63,66,63,66,7,10,7,10,7,10,7,10,7,10,7,10,7,10,7,10,7,10,13,16,13,16,13,
16,13,16,13,16,13,16,7,10,7,10,7,10,13,16,13,16,13,16,19,19,113,116,113,116,
113,116,119,119,119,122,125,122,125,122,125,128,128,128,131,131,131,32,29,32,
29,32,29,30,33,30,33,30,33,28,31,148,151,148,151,148,151,154,157,154,157,154,
157,160,163,160,163,160,163,36,36,36,36,36,36,36,36,36,36,36,36,39,39,39,39,
39,39,42,45,42,45,42,45,48,48,48,51,51,51,54,57,54,57,54,57,63,66,63,66,63,66,
73,70,73,70,73,70,77,80,77,80,77,80],,[1,6,5,4,3,2,7,12,11,10,9,8,13,18,17,16,
15,14,19,21,20,22,27,26,25,24,23,28,33,32,31,30,29,34,35,36,38,37,39,41,40,42,
47,46,45,44,43,48,50,49,51,53,52,54,59,58,57,56,55,60,62,61,1,6,5,4,3,2,75,80,
79,78,77,76,69,74,73,72,71,70,81,86,85,84,83,82,87,92,91,90,89,88,93,98,97,96,
95,94,99,104,103,102,101,100,105,110,109,108,107,106,111,112,113,118,117,116,
115,114,119,121,120,122,127,126,125,124,123,128,130,129,131,133,132,140,145,
144,143,142,141,134,139,138,137,136,135,146,147,7,12,11,10,9,8,154,159,158,
157,156,155,160,165,164,163,162,161,169,171,170,166,168,167,172,177,176,175,
174,173,181,183,182,178,180,179,184,189,188,187,186,185,190,192,191,193,195,
194,196,201,200,199,198,197,22,27,26,25,24,23,214,219,218,217,216,215,208,213,
212,211,210,209],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,
49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,1,2,3,4,5,6,119,120,121,
122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,
141,142,143,144,145,146,147,148,149,150,151,152,153,160,161,162,163,164,165,
154,155,156,157,158,159,166,167,168,169,170,171,172,173,174,175,176,177,178,
179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,
198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,
217,218,219],,,,[1,6,5,4,3,2,7,12,11,10,9,8,13,18,17,16,15,14,19,21,20,22,27,
26,25,24,23,28,33,32,31,30,29,34,35,36,38,37,39,41,40,42,47,46,45,44,43,48,50,
49,51,53,52,54,59,58,57,56,55,60,62,61,63,68,67,66,65,64,75,80,79,78,77,76,69,
74,73,72,71,70,81,86,85,84,83,82,87,92,91,90,89,88,93,98,97,96,95,94,99,104,
103,102,101,100,105,110,109,108,107,106,111,112,113,118,117,116,115,114,119,
121,120,122,127,126,125,124,123,128,130,129,131,133,132,140,145,144,143,142,
141,134,139,138,137,136,135,146,147,148,153,152,151,150,149,1,6,5,4,3,2,1,6,5,
4,3,2,169,171,170,166,168,167,172,177,176,175,174,173,181,183,182,178,180,179,
184,189,188,187,186,185,190,192,191,193,195,194,196,201,200,199,198,197,202,
207,206,205,204,203,214,219,218,217,216,215,208,213,212,211,210,209]],
0,
[(154,160)(155,161)(156,162)(157,163)(158,164)(159,165),(  2,  6)(  3,  5)
(  8, 12)(  9, 11)( 14, 18)( 15, 17)( 20, 21)( 23, 27)( 24, 26)( 29, 33)
( 30, 32)( 37, 38)( 40, 41)( 43, 47)( 44, 46)( 49, 50)( 52, 53)( 55, 59)
( 56, 58)( 61, 62)( 64, 68)( 65, 67)( 69, 75)( 70, 80)( 71, 79)( 72, 78)
( 73, 77)( 74, 76)( 82, 86)( 83, 85)( 88, 92)( 89, 91)( 94, 98)( 95, 97)
(100,104)(101,103)(106,110)(107,109)(114,118)(115,117)(120,121)(123,127)
(124,126)(129,130)(132,133)(134,140)(135,145)(136,144)(137,143)(138,142)
(139,141)(149,153)(150,152)(155,159)(156,158)(161,165)(162,164)(166,169)
(167,171)(168,170)(173,177)(174,176)(178,181)(179,183)(180,182)(185,189)
(186,188)(191,192)(194,195)(197,201)(198,200)(203,207)(204,206)(208,214)
(209,219)(210,218)(211,217)(212,216)(213,215),( 48, 51)( 49, 52)( 50, 53)
(128,131)(129,132)(130,133)(190,193)(191,194)(192,195)],
["ConstructProj",[["U6(2)",[]],["2.U6(2)",[]],["3.U6(2)",[-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,23,23,-1,-1,-1,-1]],,,["6.U6(2)",[-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,23,23,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1]]]]);
ARC("6.U6(2)","maxes",["6xU5(2)","3x2.2^(1+8)_+:U4(2)","6.U6(2)M3",
"2x3_1.U4(3).2_2","6_1.U4(3).2_2","6.U6(2)M6","3x2.2^(4+8):(S3xA5)","6xS6(2)",
"6.U6(2)M9","6.U6(2)M10","2x3.M22","6.M22","6.U6(2)M13","6xS3xU4(2)",
"6.(3^(1+4).[2^7.3])","6.L3(4).2_1"]);
ALF("6.U6(2)","U6(2)",[1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,5,5,5,5,
5,5,6,6,6,6,6,6,7,7,8,8,8,9,9,9,10,10,10,10,10,10,11,11,11,12,12,12,13,13,
13,13,13,13,14,14,14,15,15,15,15,15,15,16,16,16,16,16,16,17,17,17,17,17,
17,18,18,18,18,18,18,19,19,19,19,19,19,20,20,20,20,20,20,21,21,21,21,21,
21,22,22,22,22,22,22,23,23,24,24,24,24,24,24,25,25,25,26,26,26,26,26,26,
27,27,27,28,28,28,29,29,29,29,29,29,30,30,30,30,30,30,31,31,32,32,32,32,
32,32,33,33,33,33,33,33,34,34,34,34,34,34,35,35,35,36,36,36,37,37,37,37,
37,37,38,38,38,39,39,39,40,40,40,40,40,40,41,41,41,42,42,42,43,43,43,43,
43,43,44,44,44,44,44,44,45,45,45,45,45,45,46,46,46,46,46,46]);
ALF("6.U6(2)","2.U6(2)",[1,2,1,2,1,2,3,4,3,4,3,4,5,6,5,6,5,6,7,7,7,8,9,8,
9,8,9,10,11,10,11,10,11,12,13,14,14,14,15,15,15,16,17,16,17,16,17,18,18,
18,19,19,19,20,21,20,21,20,21,22,22,22,23,24,23,24,23,24,25,26,25,26,25,
26,27,28,27,28,27,28,29,30,29,30,29,30,31,32,31,32,31,32,33,34,33,34,33,
34,35,36,35,36,35,36,37,38,37,38,37,38,39,40,41,42,41,42,41,42,43,43,43,
44,45,44,45,44,45,46,46,46,47,47,47,48,49,48,49,48,49,50,51,50,51,50,51,
52,53,54,55,54,55,54,55,56,57,56,57,56,57,58,59,58,59,58,59,60,60,60,61,
61,61,62,63,62,63,62,63,64,64,64,65,65,65,66,67,66,67,66,67,68,68,68,69,
69,69,70,71,70,71,70,71,72,73,72,73,72,73,74,75,74,75,74,75,76,77,76,77,
76,77]);
ALF("6.U6(2)","3.U6(2)",[1,2,3,1,2,3,4,5,6,4,5,6,7,8,9,7,8,9,10,11,12,13,
14,15,13,14,15,16,17,18,16,17,18,19,19,20,21,22,23,24,25,26,27,28,26,27,
28,29,30,31,32,33,34,35,36,37,35,36,37,38,39,40,41,42,43,41,42,43,44,45,
46,44,45,46,47,48,49,47,48,49,50,51,52,50,51,52,53,54,55,53,54,55,56,57,
58,56,57,58,59,60,61,59,60,61,62,63,64,62,63,64,65,65,66,67,68,66,67,68,
69,70,71,72,73,74,72,73,74,75,76,77,78,79,80,81,82,83,81,82,83,84,85,86,
84,85,86,87,87,88,89,90,88,89,90,91,92,93,91,92,93,94,95,96,94,95,96,97,
98,99,100,101,102,103,104,105,103,104,105,106,107,108,109,110,111,112,113,
114,112,113,114,115,116,117,118,119,120,121,122,123,121,122,123,124,125,
126,124,125,126,127,128,129,127,128,129,130,131,132,130,131,132]);
ALF("6.U6(2)","6.U6(2).2",[1,2,3,4,3,2,5,6,7,8,7,6,9,10,11,12,11,10,13,14,
14,15,16,17,18,17,16,19,20,21,22,21,20,23,24,25,26,26,27,28,28,29,30,31,
32,31,30,33,34,35,33,35,34,36,37,38,39,38,37,40,41,41,42,43,44,45,44,43,
46,47,48,49,50,51,46,51,50,49,48,47,52,53,54,55,54,53,56,57,58,59,58,57,
60,61,62,63,62,61,64,65,66,67,66,65,68,69,70,71,70,69,72,73,74,75,76,77,
76,75,78,79,79,80,81,82,83,82,81,84,85,86,84,86,85,87,88,89,90,91,92,87,
92,91,90,89,88,93,94,95,96,97,98,97,96,99,100,101,102,103,104,99,104,103,
102,101,100,105,106,107,105,107,106,108,109,110,111,110,109,112,113,114,
112,114,113,115,116,117,118,117,116,119,120,121,119,121,120,122,123,124,
125,124,123,126,127,128,129,128,127,130,131,132,133,134,135,130,135,134,
133,132,131],[
"fusion map is unique up to table autom.,\n",
"compatible with Brauer tables and factors"
]);
ALF("6.U6(2)","3.Fi22",[1,5,3,4,2,6,7,5,9,4,8,6,7,11,9,10,8,12,10,11,12,
13,38,15,37,14,39,16,41,16,40,16,42,17,49,19,20,21,25,26,27,19,26,21,25,
20,27,28,29,30,28,29,30,31,23,33,22,32,24,31,32,33,34,81,36,80,35,82,45,
42,44,41,43,40,44,40,43,42,45,41,46,38,48,37,47,39,43,53,45,53,44,53,46,
51,48,50,47,52,55,49,57,49,56,49,55,58,57,58,56,58,54,58,60,124,62,123,61,
125,69,70,71,63,67,65,66,64,68,72,73,74,72,73,74,76,137,75,136,77,135,77,
138,76,140,75,139,78,141,83,81,85,80,84,82,86,152,88,151,87,153,89,155,91,
154,90,156,94,92,93,93,94,92,95,99,97,98,96,100,109,107,108,108,109,107,
92,108,94,107,93,109,104,104,104,105,105,105,110,102,112,101,111,103,126,
164,128,163,127,165,143,140,142,139,144,138,144,135,143,137,142,136],[
"fusion map is unique up to table autom.,\n",
"compatible with Brauer tables and factors"
]);

MOT("6.U6(2).2",
[
"origin: ATLAS of finite groups"
],
[110361968640,55180984320,55180984320,110361968640,159252480,79626240,
79626240,159252480,1769472,884736,884736,1769472,221184,110592,933120,466560,
466560,933120,559872,279936,279936,559872,7776,7776,331776,165888,36864,18432,
18432,9216,9216,18432,4608,4608,4608,9216,4608,4608,9216,1536,768,360,180,180,
360,31104,31104,31104,31104,31104,31104,20736,10368,10368,20736,6912,3456,
3456,6912,3456,1728,1728,3456,2592,1296,1296,2592,864,432,432,864,288,288,84,
42,42,84,384,192,384,192,192,384,96,96,96,324,324,324,324,324,324,108,108,120,
60,60,120,66,66,66,66,66,66,2592,2592,2592,1728,864,864,1728,288,288,288,576,
288,288,576,144,144,144,288,144,144,288,180,90,90,180,108,108,108,108,108,108,
5806080,5806080,92160,92160,18432,18432,6144,6144,1536,1536,8640,8640,2592,
2592,576,576,432,432,144,144,384,384,192,128,128,120,120,40,40,576,576,288,
288,192,192,144,144,48,48,28,28,32,32,36,36,48,48,48,48,60,60],
[,[1,3,3,1,1,3,3,1,1,3,3,1,1,3,15,17,17,15,19,21,21,19,23,23,5,7,5,7,9,11,11,
9,12,10,10,9,11,11,9,9,11,42,44,44,42,19,21,21,19,21,21,15,17,17,15,19,21,21,
19,15,17,17,15,23,23,23,23,23,23,23,23,23,23,74,76,76,74,27,28,29,31,31,29,33,
35,34,87,91,89,87,91,89,93,93,42,44,44,42,99,103,101,99,103,101,46,50,48,52,
54,54,52,46,50,48,56,58,58,56,59,57,57,60,62,62,60,126,128,128,126,87,91,89,
87,91,89,1,1,1,1,9,9,9,9,9,9,15,15,19,19,15,15,23,23,23,23,25,25,32,29,29,42,
42,42,42,60,60,56,56,60,60,68,68,68,68,74,74,78,78,93,93,108,108,118,118,126,
126],[1,4,1,4,5,8,5,8,9,12,9,12,13,13,1,4,1,4,1,4,1,4,1,4,25,25,27,27,29,32,
29,32,33,33,33,36,39,36,39,40,40,42,45,42,45,5,8,5,8,5,8,5,8,5,8,9,12,9,12,9,
12,9,12,5,8,5,8,9,12,9,12,13,13,74,77,74,77,78,78,80,83,80,83,84,84,84,21,20,
21,20,21,20,19,22,95,98,95,98,99,102,99,102,99,102,25,25,25,25,25,25,25,27,27,
27,29,32,29,32,33,33,33,36,39,36,39,42,45,42,45,50,47,50,47,50,47,136,137,138,
139,140,141,142,143,144,145,136,137,136,137,138,139,136,137,138,139,156,157,
158,159,160,161,162,163,164,140,141,140,141,142,143,140,141,144,145,175,176,
177,178,148,149,156,157,158,158,161,162],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,34,36,37,38,39,40,
41,1,2,3,4,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,
68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,85,87,88,89,90,91,92,93,
94,5,6,7,8,99,104,103,102,101,100,105,106,107,108,109,110,111,112,113,114,115,
116,117,118,119,121,120,122,123,124,125,15,16,17,18,130,131,132,133,134,135,
136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,
155,156,157,158,159,160,136,137,138,139,165,166,167,168,169,170,171,172,173,
174,175,176,178,177,179,180,181,182,184,183,146,147],,[1,2,3,4,5,6,7,8,9,10,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,
37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,
63,64,65,66,67,68,69,70,71,72,73,1,2,3,4,78,79,80,81,82,83,84,85,86,87,88,89,
90,91,92,93,94,95,96,97,98,99,104,103,102,101,100,105,106,107,108,109,110,111,
112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,
131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,
150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,
169,170,171,172,173,174,136,137,178,177,179,180,181,182,184,183,185,186],,,,[
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,35,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,
56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,
82,83,84,86,85,87,88,89,90,91,92,93,94,95,96,97,98,1,2,3,4,3,2,105,106,107,
108,109,110,111,112,113,114,115,116,117,118,119,121,120,122,123,124,125,126,
127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,
146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,
165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,
184,185,186]],
0,
[(183,184),(177,178),(177,178)(183,184),(100,104)(101,103),( 34, 35)( 85, 86)
(120,121),( 34, 35)( 85, 86)(100,104)(101,103)(120,121)(183,184),(136,137)
(138,139)(140,141)(142,143)(144,145)(146,147)(148,149)(150,151)(152,153)
(154,155)(156,157)(161,162)(163,164)(165,166)(167,168)(169,170)(171,172)
(173,174)(175,176)(179,180)(181,182)(185,186)],
["ConstructMGA","6.U6(2)","2.U6(2).2",
     [ [ 78, 79 ], [ 80, 81 ], [ 82, 83 ], [ 84, 85 ], [ 86, 87 ],
        [ 88, 89 ], [ 90, 91 ], [ 92, 93 ], [ 94, 97 ], [ 95, 96 ],
        [ 98, 99 ], [ 100, 101 ], [ 102, 103 ], [ 104, 105 ], [ 106, 107 ],
        [ 108, 109 ], [ 110, 113 ], [ 111, 112 ], [ 114, 115 ], [ 116, 117 ],
        [ 118, 119 ], [ 120, 121 ], [ 122, 123 ], [ 124, 125 ], [ 126, 127 ],
        [ 128, 129 ], [ 130, 131 ], [ 132, 133 ], [ 134, 135 ], [ 136, 139 ],
        [ 137, 138 ], [ 140, 141 ], [ 142, 143 ], [ 144, 145 ], [ 146, 147 ],
        [ 148, 149 ], [ 150, 151 ], [ 152, 155 ], [ 153, 154 ], [ 156, 157 ],
        [ 158, 159 ], [ 160, 161 ], [ 162, 163 ], [ 164, 165 ], [ 166, 167 ],
        [ 168, 169 ], [ 170, 171 ], [ 172, 173 ], [ 174, 175 ], [ 176, 177 ],
        [ 178, 179 ], [ 180, 181 ], [ 182, 183 ], [ 184, 185 ], [ 186, 187 ],
        [ 188, 189 ], [ 190, 191 ], [ 192, 193 ], [ 194, 197 ], [ 195, 196 ],
        [ 198, 199 ], [ 200, 201 ], [ 202, 203 ], [ 204, 205 ], [ 206, 207 ],
        [ 208, 209 ], [ 210, 211 ], [ 212, 213 ], [ 214, 215 ], [ 216, 217 ],
        [ 218, 219 ] ], ()]);
ALF("6.U6(2).2","U6(2).2",[1,1,1,1,2,2,2,2,3,3,3,3,4,4,5,5,5,5,6,6,6,6,7,
7,8,8,9,9,10,10,10,10,11,11,11,12,12,12,12,13,13,14,14,14,14,15,15,15,15,
15,15,16,16,16,16,17,17,17,17,18,18,18,18,19,19,19,19,20,20,20,20,21,21,
22,22,22,22,23,23,24,24,24,24,25,25,25,26,26,26,26,26,26,27,27,28,28,28,
28,29,29,29,29,29,29,30,30,30,31,31,31,31,32,32,32,33,33,33,33,34,34,34,
35,35,35,35,36,36,36,36,37,37,37,37,37,37,38,38,39,39,40,40,41,41,42,42,
43,43,44,44,45,45,46,46,47,47,48,48,49,50,51,52,52,53,53,54,54,55,55,56,
56,57,57,58,58,59,59,60,61,62,62,63,63,64,64,65,65]);
ALF("6.U6(2).2","2.U6(2).2",[1,2,1,2,3,4,3,4,5,6,5,6,7,7,8,9,8,9,10,11,10,
11,12,13,14,14,15,15,16,17,16,17,18,18,18,19,20,19,20,21,21,22,23,22,23,
24,25,24,25,24,25,26,27,26,27,28,29,28,29,30,31,30,31,32,33,32,33,34,35,
34,35,36,37,38,39,38,39,40,40,41,42,41,42,43,43,43,44,45,44,45,44,45,46,
47,48,49,48,49,50,51,50,51,50,51,52,52,52,53,54,53,54,55,55,55,56,57,56,
57,58,58,58,59,60,59,60,61,62,61,62,63,64,63,64,63,64,65,66,67,68,69,70,
71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,
114,115]);
ALF("6.U6(2).2","3.U6(2).2",[1,2,2,1,3,4,4,3,5,6,6,5,7,8,9,10,10,9,11,12,
12,11,13,13,14,15,16,17,18,19,19,18,20,21,22,23,24,24,23,25,26,27,28,28,
27,29,30,31,29,30,31,32,33,33,32,34,35,35,34,36,37,37,36,38,39,39,38,40,
41,41,40,42,42,43,44,44,43,45,46,47,48,48,47,49,50,51,52,53,54,52,53,54,
55,55,56,57,57,56,58,59,60,58,59,60,61,62,63,64,65,65,64,66,67,68,69,70,
70,69,71,72,73,74,75,75,74,76,77,77,76,78,79,80,78,79,80,81,81,82,82,83,
83,84,84,85,85,86,86,87,87,88,88,89,89,90,90,91,91,92,93,94,95,95,96,96,
97,97,98,98,99,99,100,100,101,101,102,102,103,104,105,105,106,106,107,107,
108,108]);
ALF("6.U6(2).2","3.Fi22.2",[1,4,2,3,5,4,6,3,5,8,6,7,7,8,9,27,10,26,11,29,
11,28,12,34,14,15,18,19,14,19,15,18,20,21,21,22,17,23,16,22,23,24,58,25,
57,31,29,31,29,30,28,32,27,33,26,30,37,31,37,32,36,33,35,39,34,40,34,39,
41,40,41,38,41,43,85,44,84,49,50,45,48,46,47,51,52,52,54,93,53,92,54,91,
55,94,59,58,60,57,61,102,63,101,62,103,65,64,65,66,69,67,68,75,74,75,64,
75,65,74,72,72,72,76,71,77,70,86,109,87,108,96,92,95,93,96,91,110,112,111,
112,115,113,115,114,115,116,118,121,120,124,123,121,122,128,127,128,130,
129,131,129,130,133,134,135,134,141,136,142,137,141,140,143,139,143,144,
146,147,148,148,150,151,155,154,156,157,159,160],[
"fusion map is unique up to table autom."
]);
ALN("6.U6(2).2",["3.Fi22.2M2"]);

MOT("Isoclinic(6.U6(2).2)",
[
"isoclinic group of the 6.U6(2).2 given in the ATLAS"
],
0,
0,
0,
[(183,184),(177,178),(136,137)(138,139)(140,141)(142,143)(144,145)(146,147)
(148,149)(150,151)(152,153)(154,155)(156,157)(161,162)(163,164)(165,166)(167,
168)(169,170)(171,172)(173,174)(175,176)(179,180)(181,182)(185,186),(100,104)
(101,103),(34,35)(85,86)(120,121)],
["ConstructIsoclinic",[["6.U6(2).2"]]]);
ALF("Isoclinic(6.U6(2).2)","3.U6(2).2",[1,2,2,1,3,4,4,3,5,6,6,5,7,8,9,10,
10,9,11,12,12,11,13,13,14,15,16,17,18,19,19,18,20,21,22,23,24,24,23,25,26,
27,28,28,27,29,30,31,29,30,31,32,33,33,32,34,35,35,34,36,37,37,36,38,39,
39,38,40,41,41,40,42,42,43,44,44,43,45,46,47,48,48,47,49,50,51,52,53,54,
52,53,54,55,55,56,57,57,56,58,59,60,58,59,60,61,62,63,64,65,65,64,66,67,
68,69,70,70,69,71,72,73,74,75,75,74,76,77,77,76,78,79,80,78,79,80,81,81,
82,82,83,83,84,84,85,85,86,86,87,87,88,88,89,89,90,90,91,91,92,93,94,95,
95,96,96,97,97,98,98,99,99,100,100,101,101,102,102,103,104,105,105,106,
106,107,107,108,108]);

MOT("U6(2)",
[
"origin: ATLAS of finite groups, tests: 1.o.r."
],
[9196830720,13271040,147456,36864,77760,46656,1944,55296,6144,1536,1536,1536,
768,256,30,5184,5184,1728,576,288,216,72,72,7,64,32,32,32,54,54,27,10,11,11,
864,864,144,96,96,48,48,48,24,15,18,18],
[,[1,1,1,1,5,6,7,2,2,3,3,3,3,3,15,6,6,5,6,5,7,7,7,24,9,10,11,12,30,29,31,15,
34,33,17,16,18,17,16,19,19,19,20,44,30,29],[1,2,3,4,1,1,1,8,9,10,11,12,13,14,
15,2,2,2,3,3,2,3,4,24,25,26,27,28,6,6,6,32,33,34,8,8,8,9,9,10,11,12,13,15,16,
17],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,1,17,16,18,19,20,21,22,23,24,25,26,27,
28,30,29,31,2,33,34,36,35,37,39,38,40,41,42,43,5,46,45],,[1,2,3,4,5,6,7,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,1,25,26,27,28,29,30,31,32,34,33,35,
36,37,38,39,40,41,42,43,44,45,46],,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,
16,18,19,20,21,22,23,24,25,26,27,28,30,29,31,32,1,1,36,35,37,39,38,40,41,42,
43,44,46,45]],
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1,1,1,1,1,1,1,1],[22,-10,6,-2,4,-5,4,6,-2,2,2,2,-2,2,2,-1,-1,-4,3,0,2,0,-2,1,
2,0,0,0,1,1,1,0,0,0,-3,-3,0,1,1,-1,-1,-1,-2,-1,-1,-1],[231,39,7,-9,6,15,6,23,
7,-1,-1,-1,-1,-1,1,3,3,6,7,-2,0,-2,0,0,3,-1,-1,-1,0,0,0,-1,0,0,5,5,2,1,1,-1,
-1,-1,2,1,0,0],[252,60,28,12,9,9,9,12,-4,4,4,4,4,4,2,-3,-3,9,1,1,3,1,3,0,0,0,
0,0,0,0,0,0,-1,-1,3,3,-3,-1,-1,1,1,1,1,-1,0,0],[385,-95,17,-7,25,7,-2,1,9,5,5,
5,-7,-3,0,-5,-5,1,-1,5,-2,2,2,0,1,-1,-1,-1,1,1,1,0,0,0,1,1,1,-3,-3,-1,-1,-1,
-1,0,1,1],[440,120,24,8,35,8,-1,24,8,0,0,0,8,0,0,12,12,3,0,3,3,3,-1,-1,0,0,0,
0,2,2,-1,0,0,0,6,6,3,2,2,0,0,0,-1,0,0,0],[560,-80,-16,16,20,20,2,16,-16,0,0,0,
0,0,0,-8,-8,4,-4,-4,-2,2,-2,0,0,0,0,0,-1,-1,2,0,-1,-1,-2,-2,4,2,2,0,0,0,0,0,1,
1],[616,-24,40,8,-14,-5,13,8,8,8,8,8,0,0,1,3,3,-6,-5,-2,3,1,-1,0,0,0,0,0,-2,
-2,-2,1,0,0,-1,-1,2,-1,-1,-1,-1,-1,0,1,0,0],[770,-30,-14,10,5,-13,5,34,-6,-2,
-2,-2,2,-2,0,9*E(3)-3*E(3)^2,-3*E(3)+9*E(3)^2,-3,7,1,-3,1,1,0,2,0,0,0,-1,-1,
-1,0,0,0,-E(3)+5*E(3)^2,5*E(3)-E(3)^2,1,-E(3)+E(3)^2,E(3)-E(3)^2,1,1,1,-1,0,
E(3)-E(3)^2,-E(3)+E(3)^2],
[GALOIS,[9,2]],[1155,195,35,19,30,-6,3,-13,3,11,-5,-5,3,3,0,6,6,6,2,2,-3,-1,1,
0,-1,3,-1,-1,0,0,0,0,0,0,-4,-4,2,0,0,2,-2,-2,0,0,0,0],[1155,195,35,19,30,-6,3,
-13,3,-5,11,-5,3,3,0,6,6,6,2,2,-3,-1,1,0,-1,-1,3,-1,0,0,0,0,0,0,-4,-4,2,0,0,
-2,2,-2,0,0,0,0],[1155,195,35,19,30,-6,3,-13,3,-5,-5,11,3,3,0,6,6,6,2,2,-3,-1,
1,0,-1,-1,-1,3,0,0,0,0,0,0,-4,-4,2,0,0,-2,-2,2,0,0,0,0],[1386,-246,58,-30,36,
9,9,-6,2,-2,-2,-2,-6,6,1,-3,-3,-12,1,4,-3,1,-3,0,-2,0,0,0,0,0,0,-1,0,0,3,3,0,
-1,-1,1,1,1,0,1,0,0],[1540,260,4,-28,55,1,1,-12,-12,4,4,4,4,-4,0,17,17,-1,1,
-5,-1,1,-1,0,0,0,0,0,1,1,1,0,0,0,-3,-3,3,-3,-3,1,1,1,1,0,-1,-1],[3080,-440,40,
-8,65,2,-7,40,-8,0,0,0,-8,0,0,14*E(3)+2*E(3)^2,2*E(3)+14*E(3)^2,1,-2,1,1,1,1,
0,0,0,0,0,-2*E(3)+E(3)^2,E(3)-2*E(3)^2,-1,0,0,0,2*E(3)+8*E(3)^2,
8*E(3)+2*E(3)^2,1,-2*E(3),-2*E(3)^2,0,0,0,1,0,E(3)^2,E(3)],
[GALOIS,[16,2]],[3520,-320,64,0,10,-44,10,64,0,0,0,0,0,0,0,4,4,-14,4,-2,4,-2,
0,-1,0,0,0,0,1,1,1,0,0,0,-8,-8,-2,0,0,0,0,0,0,0,1,1],[4620,-180,44,-36,-15,57,
12,28,-20,4,4,4,-4,-4,0,9,9,9,-7,5,0,-4,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,
1,-1,0,0,0],[4928,320,64,64,-4,68,5,0,0,0,0,0,0,0,-2,-4,-4,-4,4,4,5,1,1,0,0,0,
0,0,-1,-1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,-1],[5544,-24,-56,24,9,36,9,72,24,0,
0,0,-8,0,-1,12,12,9,4,1,-3,1,-3,0,0,0,0,0,0,0,0,1,0,0,0,0,-3,0,0,0,0,0,1,-1,0,
0],[6160,400,-48,-16,40,-50,4,48,16,0,0,0,0,0,0,2*E(3)-10*E(3)^2,
-10*E(3)+2*E(3)^2,-8,-6,0,-2,0,2,0,0,0,0,0,2*E(3)-E(3)^2,-E(3)+2*E(3)^2,1,0,0,
0,-6*E(3),-6*E(3)^2,0,-2*E(3),-2*E(3)^2,0,0,0,0,0,E(3)^2,E(3)],
[GALOIS,[22,2]],[6930,690,98,42,45,-36,-9,18,-6,6,6,6,10,-2,0,-12,-12,-3,-4,5,
-3,-1,-3,0,2,0,0,0,0,0,0,0,0,0,0,0,-3,0,0,0,0,0,1,0,0,0],[8064,384,128,0,-36,
-36,18,0,0,0,0,0,0,0,-1,-12,-12,12,-4,-4,0,2,0,0,0,0,0,0,0,0,0,-1,1,1,0,0,0,0,
0,0,0,0,0,-1,0,0],[9240,-360,88,-8,-30,33,-3,-8,-8,24,-8,-8,0,0,0,9,9,-6,1,-2,
-3,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,-2,1,1,-3,1,1,0,0,0,0],[9240,-360,88,-8,-30,
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1,1,-3,1,0,0,0,0],[9240,-360,88,-8,-30,33,-3,-8,-8,-8,-8,24,0,0,0,9,9,-6,1,-2,
-3,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,-2,1,1,1,1,-3,0,0,0,0],[10395,315,-21,-45,0,
27,0,75,-13,-1,-1,-1,3,-1,0,-9,-9,0,3,0,0,0,0,0,-1,1,1,1,0,0,0,0,0,0,
3*E(3)-9*E(3)^2,-9*E(3)+3*E(3)^2,0,-E(3)+3*E(3)^2,3*E(3)-E(3)^2,-1,-1,-1,0,0,
0,0],
[GALOIS,[29,2]],[10395,315,-21,-45,0,27,0,-21,19,15,-1,-1,3,-1,0,-9,-9,0,3,0,
0,0,0,0,-1,-3,1,1,0,0,0,0,0,0,-3,-3,0,1,1,3,-1,-1,0,0,0,0],[10395,315,-21,-45,
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ARC("U6(2)","CAS",[rec(name:="u6q2",
permchars:=(22,23)(29,30)(42,43),
permclasses:=(),
text:=[
"names:=u6q2; psu6[2]\n",
"               2a5(2)     (lie-not.)\n",
"    order: 2^15.3^6.5.7.11 = 9,196,830,720\n",
"    number of classes: 46\n",
"    source:hunt, d.c.\n",
"          character tables of certain finite simple groups,\n",
"          bull.austral.math.soc. 5\n",
"          (1971),1-42\n",
"    text: 1. o.r., sym 2 decompose correctly\n",
"    comments: - \n",
""])]);
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ARC("U6(2)","isSimple",true);
ARC("U6(2)","extInfo",["(2^2x3)","3.2"]);
ARC("U6(2)","maxes",["U5(2)","2^(1+8)_+:U4(2)","2^9.L3(4)","U4(3).2_2",
"U6(2)M5","U6(2)M6","2^(4+8):(S3xA5)","S6(2)","U6(2)M9","U6(2)M10","M22",
"U6(2)M12","U6(2)M13","S3xU4(2)","3^(1+4).2^(1+1+2+2).S3","L3(4).2_1"]);
ALF("U6(2)","U6(2).2",[1,2,3,4,5,6,7,8,9,10,11,11,12,13,14,15,15,16,17,18,
19,20,21,22,23,24,25,25,26,26,27,28,29,29,30,30,31,32,32,33,34,34,35,36,
37,37]);
ALF("U6(2)","U6(2).3",[1,2,3,4,5,6,7,8,9,10,10,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,24,24,25,26,27,28,29,30,31,32,33,34,35,36,36,36,37,38,
39,40],[
"fusion map is unique up to table autom.,\n",
"compatible with Brauer tables"
]);
ALN("U6(2)",["u6q2","U6(2).2M1","U6(2).3M1"]);

MOT("U6(2).2",
[
"origin: ATLAS of finite groups, tests: 1.o.r."
],
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128,128,60,20,288,144,96,72,24,14,32,32,18,24,24,30],
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ARC("U6(2).2","CAS",[rec(name:="u6q2.2",
permchars:=( 2,29,41,61,54,24,39,18, 9, 5, 3)( 4,30,14,35,16,36,44,47,48,21,
 10,33,43,19,37,17,57,25,59,65,56,64,28,13, 7)( 6,31,42,62,27,40,46,20,58,53,
 51,50,22,38,45,63,55,52,23,11)( 8,32,15)(12,34,60,26),
permclasses:=(),
text:=[
"names:u6q2c; u6q2.z2, psu6[2].z2\n",
"order: 2^16.3^6.5.7.11 = 18,393,661,440\n",
"number of classes: 65\n",
"source:private communication of atlas compound table\n",
"from cambridge 1980/81;\n",
"blown up using cas\n",
"text: 1. o.r., sym 2 decompose correctly\n",
"comments:extension of psu6(2) with an\n",
"outer automorphism of order 2 \n",
"fusion into c2 determined using permutation character and\n",
"restriction of 23-dimensional character of c2 which is unique k. lux\n",
""])]);
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ALF("U6(2).2","Co2",[1,2,3,4,6,5,6,7,10,9,11,12,11,15,17,19,16,20,18,20,
21,22,25,27,28,29,29,31,33,34,36,38,35,40,41,45,50,2,4,9,8,12,18,17,21,19,
21,23,24,24,27,31,32,37,35,39,37,41,42,49,49,50,55,56,58],[
"fusion map is unique, equal to that on the CAS table"
]);
ALF("U6(2).2","U6(2).3.2",[1,2,3,4,5,6,7,8,9,10,10,11,12,13,14,15,16,17,
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77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99]);
ALN("U6(2).2",["u6q2.2"]);

MOT("U6(2).3",
[
"origin: ATLAS of finite groups, tests: 1.o.r."
],
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ARC("U6(2).3","CAS",[rec(name:="u6q2.3",
permchars:=( 25, 27, 29, 30, 26)( 31, 43, 40, 37, 36, 35, 34, 33, 32)
( 38, 41, 42)( 56, 59, 58, 57, 61, 60)( 68,104,100, 99, 97, 95, 90, 88, 84,
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  93, 89, 86, 85, 83, 81, 79, 77),
permclasses:=(109,111)(110,112),
text:=[
"names:=u6q2e; u6q2.z3, psu6[2].z3\n",
"   order: 2^15.3^7.5.7.11 = 27,590,492,160\n",
"   number of classes: 114\n",
"   source:private communication of atlas compound table\n",
"         from cambridge 1980/81;\n",
"         blown up using cas\n",
"   text: 1. o.r., sym 2 decompose correctly\n",
"   comments:extension of psu6(2) with an\n",
"           outer automorphism of order 3 \n",
""])]);
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5*E(3)-5*E(3)^2,-5*E(3)+5*E(3)^2,2*E(3)-5*E(3)^2,-5*E(3)+2*E(3)^2,0,0,
17*E(3)-6*E(3)^2,-6*E(3)+17*E(3)^2,15*E(3)+5*E(3)^2,5*E(3)+15*E(3)^2,
9*E(3)+2*E(3)^2,2*E(3)+9*E(3)^2,5*E(3)+3*E(3)^2,3*E(3)+5*E(3)^2,4*E(3)+E(3)^2,
E(3)+4*E(3)^2,-E(3)-3*E(3)^2,-3*E(3)-E(3)^2,-3*E(3)-E(3)^2,-E(3)-3*E(3)^2,
2*E(3)+3*E(3)^2,3*E(3)+2*E(3)^2,-E(3)+E(3)^2,E(3)-E(3)^2,4*E(3)+E(3)^2,
E(3)+4*E(3)^2,0,0,6*E(3),6*E(3)^2,0,0,E(3)-E(3)^2,-E(3)+E(3)^2,E(3)+2*E(3)^2,
2*E(3)+E(3)^2,-3*E(3)-2*E(3)^2,-2*E(3)-3*E(3)^2,E(3)-E(3)^2,-E(3)+E(3)^2,
E(3)-2*E(3)^2,-2*E(3)+E(3)^2,3*E(3)+E(3)^2,E(3)+3*E(3)^2,-2*E(3)-E(3)^2,
-E(3)-2*E(3)^2,-1,-1,E(3)^2,E(3),1,1,0,0,0,0,2*E(3),2*E(3)^2,-1,-1,0,0,-E(3),
-E(3)^2,0,0,1,1,1,1,0,0],[231,71,23,15,21,6,0,7,-1,3,7,3,1,6*E(3)+2*E(3)^2,
2*E(3)+6*E(3)^2,5,2,5,2,2,0,0,-1,1,2*E(3)+E(3)^2,E(3)+2*E(3)^2,0,1,0,0,
-2*E(3)^2,-2*E(3),1,2*E(3)^2,2*E(3),0,1,1,-E(3)^2,-E(3),-11*E(3)+44*E(3)^2,
44*E(3)-11*E(3)^2,4*E(3)+14*E(3)^2,14*E(3)+4*E(3)^2,7*E(3)+5*E(3)^2,
5*E(3)+7*E(3)^2,0,0,5*E(3)+12*E(3)^2,12*E(3)+5*E(3)^2,-6*E(3)+14*E(3)^2,
14*E(3)-6*E(3)^2,-3*E(3)-4*E(3)^2,-4*E(3)-3*E(3)^2,-4*E(3)+6*E(3)^2,
6*E(3)-4*E(3)^2,-1,-1,2*E(3)+6*E(3)^2,6*E(3)+2*E(3)^2,2*E(3)^2,2*E(3),
-E(3)-3*E(3)^2,-3*E(3)-E(3)^2,-2*E(3)+2*E(3)^2,2*E(3)-2*E(3)^2,-1,-1,0,0,
3*E(3)^2,3*E(3),0,0,2*E(3)+E(3)^2,E(3)+2*E(3)^2,-3*E(3)+4*E(3)^2,
4*E(3)-3*E(3)^2,E(3)+4*E(3)^2,4*E(3)+E(3)^2,-2*E(3)^2,-2*E(3),E(3),E(3)^2,2,2,
3*E(3)+E(3)^2,E(3)+3*E(3)^2,-2*E(3),-2*E(3)^2,-1,-1,0,0,1,1,1,1,-E(3)^2,-E(3),
-E(3)^2,-E(3),0,0,-E(3),-E(3)^2,1,1,0,0,0,0,E(3)^2,E(3)],[462,110,30,6,24,-15,
0,30,6,2,6,2,2,3*E(3)-E(3)^2,-E(3)+3*E(3)^2,8,-3,0,-4,0,0,0,2,0,E(3)-E(3)^2,
-E(3)+E(3)^2,0,0,0,0,9*E(3)+3*E(3)^2,3*E(3)+9*E(3)^2,0,E(3)-E(3)^2,
-E(3)+E(3)^2,-1,0,-1,-1,-1,11*E(3)+121*E(3)^2,121*E(3)+11*E(3)^2,
-7*E(3)+28*E(3)^2,28*E(3)-7*E(3)^2,-4*E(3)+4*E(3)^2,4*E(3)-4*E(3)^2,0,0,
-5*E(3)+25*E(3)^2,25*E(3)-5*E(3)^2,5*E(3)+30*E(3)^2,30*E(3)+5*E(3)^2,
3*E(3)+9*E(3)^2,9*E(3)+3*E(3)^2,E(3)+4*E(3)^2,4*E(3)+E(3)^2,8*E(3)^2,8*E(3),
-3*E(3)+6*E(3)^2,6*E(3)-3*E(3)^2,-3*E(3),-3*E(3)^2,-4,-4,E(3)+2*E(3)^2,
2*E(3)+E(3)^2,0,0,0,0,6*E(3)^2,6*E(3),0,0,E(3)-E(3)^2,-E(3)+E(3)^2,
3*E(3)+9*E(3)^2,9*E(3)+3*E(3)^2,-E(3)+E(3)^2,E(3)-E(3)^2,-3*E(3),-3*E(3)^2,
-E(3)+E(3)^2,E(3)-E(3)^2,E(3)+2*E(3)^2,2*E(3)+E(3)^2,0,0,-E(3)-2*E(3)^2,
-2*E(3)-E(3)^2,0,0,-E(3),-E(3)^2,2,2,-1,-1,2*E(3)^2,2*E(3),-1,-1,0,0,-1,-1,0,
0,0,0,0,0,0,0],[924,-164,-4,12,39,-3,0,12,-4,4,-4,-4,-1,-9*E(3)+7*E(3)^2,
7*E(3)-9*E(3)^2,7,5,-1,-2,2,0,0,0,0,-E(3)-2*E(3)^2,-2*E(3)-E(3)^2,0,1,0,0,3,3,
3,-1,-1,1,-1,-1,E(3),E(3)^2,154*E(3)+110*E(3)^2,110*E(3)+154*E(3)^2,
19*E(3)+5*E(3)^2,5*E(3)+19*E(3)^2,7*E(3)+11*E(3)^2,11*E(3)+7*E(3)^2,0,0,
-22*E(3)-34*E(3)^2,-34*E(3)-22*E(3)^2,-29*E(3)-15*E(3)^2,-15*E(3)-29*E(3)^2,
2*E(3)+6*E(3)^2,6*E(3)+2*E(3)^2,11*E(3)+5*E(3)^2,5*E(3)+11*E(3)^2,
-3*E(3)-5*E(3)^2,-5*E(3)-3*E(3)^2,-5*E(3)+E(3)^2,E(3)-5*E(3)^2,-E(3)-3*E(3)^2,
-3*E(3)-E(3)^2,1,1,-E(3)+E(3)^2,E(3)-E(3)^2,-3*E(3)-E(3)^2,-E(3)-3*E(3)^2,0,0,
-6,-6,0,0,2*E(3)+E(3)^2,E(3)+2*E(3)^2,2*E(3)-2*E(3)^2,-2*E(3)+2*E(3)^2,
6*E(3)+2*E(3)^2,2*E(3)+6*E(3)^2,-E(3)+E(3)^2,E(3)-E(3)^2,2,2,-E(3)-3*E(3)^2,
-3*E(3)-E(3)^2,-E(3)+E(3)^2,E(3)-E(3)^2,-1,-1,-1,-1,-1,-1,-E(3),-E(3)^2,-E(3),
-E(3)^2,-2,-2,E(3)^2,E(3),0,0,0,0,E(3),E(3)^2,0,0,0,0,0,0],[1155,-125,3,3,15,
-24,0,35,3,3,-5,-5,0,-8*E(3)^2,-8*E(3),7,0,3,4,0,0,0,3,-1,E(3)+2*E(3)^2,
2*E(3)+E(3)^2,0,0,0,0,8*E(3)^2,8*E(3),-1,0,0,0,1,0,E(3),E(3)^2,
110*E(3)-110*E(3)^2,-110*E(3)+110*E(3)^2,35*E(3)+25*E(3)^2,25*E(3)+35*E(3)^2,
-10*E(3)-5*E(3)^2,-5*E(3)-10*E(3)^2,0,0,30*E(3)+34*E(3)^2,34*E(3)+30*E(3)^2,
-25*E(3)+5*E(3)^2,5*E(3)-25*E(3)^2,6*E(3)-6*E(3)^2,-6*E(3)+6*E(3)^2,
3*E(3)+E(3)^2,E(3)+3*E(3)^2,4*E(3)-3*E(3)^2,-3*E(3)+4*E(3)^2,-9*E(3)-3*E(3)^2,
-3*E(3)-9*E(3)^2,3*E(3)-3*E(3)^2,-3*E(3)+3*E(3)^2,-6*E(3)-5*E(3)^2,
-5*E(3)-6*E(3)^2,-E(3)+E(3)^2,E(3)-E(3)^2,-3*E(3)^2,-3*E(3),0,0,-3*E(3)^2,
-3*E(3),0,0,E(3)+2*E(3)^2,2*E(3)+E(3)^2,6*E(3)+2*E(3)^2,2*E(3)+6*E(3)^2,
2*E(3)-2*E(3)^2,-2*E(3)+2*E(3)^2,3*E(3)+5*E(3)^2,5*E(3)+3*E(3)^2,-2,-2,
-E(3)+E(3)^2,E(3)-E(3)^2,-E(3)^2,-E(3),1,1,2*E(3)+E(3)^2,E(3)+2*E(3)^2,1,1,0,
0,0,0,E(3)^2,E(3),E(3),E(3)^2,0,0,0,0,0,0,0,0,0,0,-E(3)^2,-E(3)],[1386,-54,26,
18,-9,36,0,42,2,6,2,-2,1,0,0,-9,-4,-1,0,-4,0,0,2,0,0,0,0,1,0,0,6,6,3,2,2,0,-1,
1,0,0,231*E(3)+165*E(3)^2,165*E(3)+231*E(3)^2,-39*E(3)-60*E(3)^2,
-60*E(3)-39*E(3)^2,-3*E(3)+3*E(3)^2,3*E(3)-3*E(3)^2,0,0,-9*E(3)-27*E(3)^2,
-27*E(3)-9*E(3)^2,-9*E(3),-9*E(3)^2,15*E(3)+5*E(3)^2,5*E(3)+15*E(3)^2,
-15*E(3)-12*E(3)^2,-12*E(3)-15*E(3)^2,-9,-9,-E(3),-E(3)^2,-3*E(3)-4*E(3)^2,
-4*E(3)-3*E(3)^2,-3*E(3)+3*E(3)^2,3*E(3)-3*E(3)^2,3*E(3),3*E(3)^2,-1,-1,0,0,0,
0,0,0,0,0,7*E(3)+5*E(3)^2,5*E(3)+7*E(3)^2,3*E(3)+5*E(3)^2,5*E(3)+3*E(3)^2,
E(3)-4*E(3)^2,-4*E(3)+E(3)^2,-E(3)-3*E(3)^2,-3*E(3)-E(3)^2,-E(3),-E(3)^2,
E(3)-E(3)^2,-E(3)+E(3)^2,-E(3),-E(3)^2,-1,-1,E(3),E(3)^2,E(3),E(3)^2,E(3),
E(3)^2,0,0,0,0,0,0,-1,-1,E(3),E(3)^2,0,0,0,0,0,0],[4455,135,-9,63,0,81,0,-9,
-33,-5,-9,3,0,-27,-27,0,9,0,0,0,0,3,3,1,0,0,0,0,0,0,-9,-9,0,3,3,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2310,230,
-10,-18,30,33,0,22,-18,2,6,-6,0,-9*E(3)-13*E(3)^2,-13*E(3)-9*E(3)^2,-10,5,2,2,
2,0,0,2,0,-E(3)-2*E(3)^2,-2*E(3)-E(3)^2,0,0,0,0,3*E(3)+E(3)^2,E(3)+3*E(3)^2,
-2,-E(3)+E(3)^2,E(3)-E(3)^2,-1,0,0,-E(3),-E(3)^2,55*E(3)-220*E(3)^2,
-220*E(3)+55*E(3)^2,-20*E(3)+20*E(3)^2,20*E(3)-20*E(3)^2,E(3)+11*E(3)^2,
11*E(3)+E(3)^2,0,0,23*E(3)+36*E(3)^2,36*E(3)+23*E(3)^2,-40*E(3)^2,-40*E(3),
7*E(3)+4*E(3)^2,4*E(3)+7*E(3)^2,-4*E(3)-12*E(3)^2,-12*E(3)-4*E(3)^2,5,5,
8*E(3)^2,8*E(3),-4,-4,5*E(3)+3*E(3)^2,3*E(3)+5*E(3)^2,0,0,-E(3)+3*E(3)^2,
3*E(3)-E(3)^2,0,0,3*E(3),3*E(3)^2,0,0,-E(3)+E(3)^2,E(3)-E(3)^2,-E(3)-4*E(3)^2,
-4*E(3)-E(3)^2,-E(3)+4*E(3)^2,4*E(3)-E(3)^2,4,4,3*E(3),3*E(3)^2,0,0,1,1,0,0,
E(3)-E(3)^2,-E(3)+E(3)^2,0,0,0,0,0,0,-E(3),-E(3)^2,-1,-1,0,0,-E(3),-E(3)^2,0,
0,0,0,0,0,E(3),E(3)^2],[2310,-410,54,-18,75,-21,0,6,-2,2,-10,2,0,
-15*E(3)+E(3)^2,E(3)-15*E(3)^2,-5,3,3,4,0,0,0,-2,0,2*E(3)+E(3)^2,
E(3)+2*E(3)^2,0,0,0,0,-3,-3,3,1,1,-1,-1,0,E(3)^2,E(3),-275*E(3)-55*E(3)^2,
-55*E(3)-275*E(3)^2,-5*E(3)-25*E(3)^2,-25*E(3)-5*E(3)^2,-8*E(3)-E(3)^2,
-E(3)-8*E(3)^2,0,0,29*E(3)-7*E(3)^2,-7*E(3)+29*E(3)^2,55*E(3)+15*E(3)^2,
15*E(3)+55*E(3)^2,5*E(3)+E(3)^2,E(3)+5*E(3)^2,-13*E(3)-E(3)^2,-E(3)-13*E(3)^2,
6*E(3)+E(3)^2,E(3)+6*E(3)^2,-E(3)+7*E(3)^2,7*E(3)-E(3)^2,-E(3)-5*E(3)^2,
-5*E(3)-E(3)^2,-4*E(3)-E(3)^2,-E(3)-4*E(3)^2,-3,-3,2*E(3)+E(3)^2,
E(3)+2*E(3)^2,0,0,-6*E(3),-6*E(3)^2,0,0,-E(3)-2*E(3)^2,-2*E(3)-E(3)^2,
-11*E(3)-7*E(3)^2,-7*E(3)-11*E(3)^2,E(3)-3*E(3)^2,-3*E(3)+E(3)^2,
-5*E(3)-E(3)^2,-E(3)-5*E(3)^2,-1,-1,1,1,-2*E(3)-E(3)^2,-E(3)-2*E(3)^2,-1,-1,
E(3)^2,E(3),-1,-1,0,0,0,0,-2*E(3),-2*E(3)^2,E(3),E(3)^2,0,0,1,1,0,0,0,0,0,0,0,
0],[2520,-360,56,-24,45,36,0,24,8,0,-8,0,0,0,0,-3,-4,5,-6,2,0,0,0,0,0,0,0,0,1,
1,6,6,-3,2,2,0,1,0,0,0,-120*E(3)-330*E(3)^2,-330*E(3)-120*E(3)^2,
-30*E(3)+30*E(3)^2,30*E(3)-30*E(3)^2,15*E(3)+3*E(3)^2,3*E(3)+15*E(3)^2,0,0,
-24*E(3)+6*E(3)^2,6*E(3)-24*E(3)^2,30*E(3)+60*E(3)^2,60*E(3)+30*E(3)^2,
-8*E(3)-2*E(3)^2,-2*E(3)-8*E(3)^2,-6*E(3)-18*E(3)^2,-18*E(3)-6*E(3)^2,
3*E(3)-3*E(3)^2,-3*E(3)+3*E(3)^2,6*E(3)-4*E(3)^2,-4*E(3)+6*E(3)^2,2,2,-3,-3,
2*E(3)+4*E(3)^2,4*E(3)+2*E(3)^2,-E(3)-3*E(3)^2,-3*E(3)-E(3)^2,0,0,0,0,0,0,0,0,
-8*E(3)-10*E(3)^2,-10*E(3)-8*E(3)^2,2*E(3)^2,2*E(3),-2*E(3)+2*E(3)^2,
2*E(3)-2*E(3)^2,-2*E(3)^2,-2*E(3),2*E(3),2*E(3)^2,E(3)-E(3)^2,-E(3)+E(3)^2,
-2*E(3)^2,-2*E(3),-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(3),E(3)^2,E(3),
E(3)^2,0,0],[2772,-300,84,-12,9,-9,0,36,4,4,-4,4,2,9*E(3)-3*E(3)^2,
-3*E(3)+9*E(3)^2,-15,3,-3,0,0,0,0,0,0,0,0,0,0,0,0,-3*E(3)+3*E(3)^2,
3*E(3)-3*E(3)^2,-3,E(3)+3*E(3)^2,3*E(3)+E(3)^2,1,-1,-1,0,0,264*E(3)+330*E(3)^2
 ,330*E(3)+264*E(3)^2,-78*E(3)-75*E(3)^2,-75*E(3)-78*E(3)^2,3*E(3)-12*E(3)^2,
-12*E(3)+3*E(3)^2,0,0,-24*E(3)-6*E(3)^2,-6*E(3)-24*E(3)^2,-30*E(3)-45*E(3)^2,
-45*E(3)-30*E(3)^2,-8*E(3)+2*E(3)^2,2*E(3)-8*E(3)^2,-6*E(3)-3*E(3)^2,
-3*E(3)-6*E(3)^2,9*E(3)+6*E(3)^2,6*E(3)+9*E(3)^2,10*E(3)+11*E(3)^2,
11*E(3)+10*E(3)^2,-2*E(3)-7*E(3)^2,-7*E(3)-2*E(3)^2,3*E(3),3*E(3)^2,
-2*E(3)-E(3)^2,-E(3)-2*E(3)^2,E(3)+2*E(3)^2,2*E(3)+E(3)^2,0,0,0,0,0,0,0,0,
8*E(3)+10*E(3)^2,10*E(3)+8*E(3)^2,-2*E(3)^2,-2*E(3),2*E(3)+E(3)^2,
E(3)+2*E(3)^2,2*E(3)^2,2*E(3),2*E(3)-E(3)^2,-E(3)+2*E(3)^2,-E(3)-2*E(3)^2,
-2*E(3)-E(3)^2,-E(3)^2,-E(3),E(3),E(3)^2,E(3)^2,E(3),2*E(3),2*E(3)^2,-E(3),
-E(3)^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3465,-375,9,9,45,9,0,73,-23,-7,1,1,
0,-9*E(3)+3*E(3)^2,3*E(3)-9*E(3)^2,-3,-3,-3,0,0,0,0,1,1,0,0,0,0,0,0,
-9*E(3)+E(3)^2,E(3)-9*E(3)^2,1,3*E(3)+E(3)^2,E(3)+3*E(3)^2,-1,1,0,0,0,-495,
-495,45,45,-9,-9,0,0,81,81,45,45,-15,-15,-3,-3,-9,-9,-3,-3,-3,-3,3,3,-3,-3,3,
3,0,0,-9,-9,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,3,3,0,0,0,0,1,
1,0,0,0,0,0,0,1,1],[10395,-1125,27,27,135,27,0,-69,27,-5,3,3,0,
-27*E(3)+9*E(3)^2,9*E(3)-27*E(3)^2,-9,-9,-9,0,0,0,0,3,-1,0,0,0,0,0,0,
9*E(3)+3*E(3)^2,3*E(3)+9*E(3)^2,3,-3*E(3)+3*E(3)^2,3*E(3)-3*E(3)^2,1,3,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[3696,
-16,48,-48,-24,42,0,16,-16,0,0,0,1,-6*E(3)-10*E(3)^2,-10*E(3)-6*E(3)^2,8,6,0,
-4,0,0,0,0,0,-E(3)+E(3)^2,E(3)-E(3)^2,0,-1,0,0,-2*E(3)^2,-2*E(3),4,2*E(3)^2,
2*E(3),0,0,1,-1,-1,-44*E(3)-220*E(3)^2,-220*E(3)-44*E(3)^2,-74*E(3)-70*E(3)^2,
-70*E(3)-74*E(3)^2,E(3)+11*E(3)^2,11*E(3)+E(3)^2,0,0,20*E(3)+36*E(3)^2,
36*E(3)+20*E(3)^2,-6*E(3)-10*E(3)^2,-10*E(3)-6*E(3)^2,20*E(3)+4*E(3)^2,
4*E(3)+20*E(3)^2,14*E(3)+18*E(3)^2,18*E(3)+14*E(3)^2,-5*E(3)+E(3)^2,
E(3)-5*E(3)^2,2*E(3)-2*E(3)^2,-2*E(3)+2*E(3)^2,2*E(3)-2*E(3)^2,
-2*E(3)+2*E(3)^2,5*E(3)+3*E(3)^2,3*E(3)+5*E(3)^2,-2*E(3)+2*E(3)^2,
2*E(3)-2*E(3)^2,-E(3)+E(3)^2,E(3)-E(3)^2,0,0,3,3,0,0,-E(3)-2*E(3)^2,
-2*E(3)-E(3)^2,4,4,-4,-4,-2,-2,0,0,2,2,1,1,0,0,-1,-1,0,0,E(3),E(3)^2,E(3),
E(3)^2,-1,-1,-E(3),-E(3)^2,0,0,0,0,-E(3),-E(3)^2,0,0,0,0,1,1],[4620,140,-52,
12,15,39,0,60,28,-4,-4,4,0,-3*E(3)-19*E(3)^2,-19*E(3)-3*E(3)^2,-1,-1,-1,2,2,0,
0,0,0,-2*E(3)-E(3)^2,-E(3)-2*E(3)^2,0,0,0,0,-3,-3,3,1,1,-1,-1,0,-E(3)^2,-E(3),
110*E(3)+550*E(3)^2,550*E(3)+110*E(3)^2,5*E(3)-5*E(3)^2,-5*E(3)+5*E(3)^2,
-7*E(3)-14*E(3)^2,-14*E(3)-7*E(3)^2,0,0,-34*E(3)+54*E(3)^2,54*E(3)-34*E(3)^2,
15*E(3)+5*E(3)^2,5*E(3)+15*E(3)^2,6*E(3)+14*E(3)^2,14*E(3)+6*E(3)^2,
5*E(3)+3*E(3)^2,3*E(3)+5*E(3)^2,E(3)+4*E(3)^2,4*E(3)+E(3)^2,-E(3)-3*E(3)^2,
-3*E(3)-E(3)^2,-3*E(3)-E(3)^2,-E(3)-3*E(3)^2,-7*E(3)-6*E(3)^2,-6*E(3)-7*E(3)^2
 ,-E(3)+E(3)^2,E(3)-E(3)^2,E(3)+4*E(3)^2,4*E(3)+E(3)^2,0,0,6*E(3)^2,6*E(3),0,
0,-2*E(3)-E(3)^2,-E(3)-2*E(3)^2,-2*E(3)-10*E(3)^2,-10*E(3)-2*E(3)^2,-2,-2,
E(3)-E(3)^2,-E(3)+E(3)^2,2,2,3*E(3)+E(3)^2,E(3)+3*E(3)^2,E(3)+2*E(3)^2,
2*E(3)+E(3)^2,-1,-1,E(3),E(3)^2,1,1,0,0,0,0,2*E(3)^2,2*E(3),-E(3)^2,-E(3),0,0,
0,0,0,0,0,0,0,0,0,0],[4620,460,108,60,15,39,0,-4,12,4,4,4,0,-15*E(3)-11*E(3)^2
 ,-11*E(3)-15*E(3)^2,7,3,3,4,0,0,0,0,0,-2*E(3)-E(3)^2,-E(3)-2*E(3)^2,0,0,0,0,
-3*E(3)-E(3)^2,-E(3)-3*E(3)^2,-1,E(3)-E(3)^2,-E(3)+E(3)^2,1,1,0,E(3)^2,E(3),
110*E(3)-110*E(3)^2,-110*E(3)+110*E(3)^2,-55*E(3)-65*E(3)^2,-65*E(3)-55*E(3)^2
 ,8*E(3)+22*E(3)^2,22*E(3)+8*E(3)^2,0,0,30*E(3)+34*E(3)^2,34*E(3)+30*E(3)^2,
5*E(3)-25*E(3)^2,-25*E(3)+5*E(3)^2,6*E(3)-6*E(3)^2,-6*E(3)+6*E(3)^2,
-15*E(3)-17*E(3)^2,-17*E(3)-15*E(3)^2,-8*E(3),-8*E(3)^2,-3*E(3)-9*E(3)^2,
-9*E(3)-3*E(3)^2,-3*E(3)-9*E(3)^2,-9*E(3)-3*E(3)^2,-2*E(3)^2,-2*E(3),
E(3)-E(3)^2,-E(3)+E(3)^2,0,0,0,0,-3,-3,0,0,E(3)-E(3)^2,-E(3)+E(3)^2,
6*E(3)+2*E(3)^2,2*E(3)+6*E(3)^2,2*E(3)-2*E(3)^2,-2*E(3)+2*E(3)^2,
-3*E(3)-E(3)^2,-E(3)-3*E(3)^2,-2,-2,E(3)-E(3)^2,-E(3)+E(3)^2,2*E(3)^2,2*E(3),
1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,-1,-1],[5544,744,72,24,99,-18,
0,-24,-8,0,8,0,-1,18*E(3)+6*E(3)^2,6*E(3)+18*E(3)^2,3,-6,3,0,0,0,0,0,0,0,0,0,
-1,0,0,-6*E(3),-6*E(3)^2,3,-2*E(3),-2*E(3)^2,0,-1,-1,0,0,-264*E(3)+66*E(3)^2,
66*E(3)-264*E(3)^2,6*E(3)-24*E(3)^2,-24*E(3)+6*E(3)^2,15*E(3)+12*E(3)^2,
12*E(3)+15*E(3)^2,0,0,24*E(3)+18*E(3)^2,18*E(3)+24*E(3)^2,-54*E(3)+6*E(3)^2,
6*E(3)-54*E(3)^2,8*E(3)+10*E(3)^2,10*E(3)+8*E(3)^2,-18*E(3),-18*E(3)^2,
3*E(3)-6*E(3)^2,-6*E(3)+3*E(3)^2,2*E(3)-2*E(3)^2,-2*E(3)+2*E(3)^2,
2*E(3)+4*E(3)^2,4*E(3)+2*E(3)^2,3*E(3),3*E(3)^2,-2*E(3)+2*E(3)^2,
2*E(3)-2*E(3)^2,-E(3)-2*E(3)^2,-2*E(3)-E(3)^2,0,0,0,0,0,0,0,0,-8*E(3)+2*E(3)^2
 ,2*E(3)-8*E(3)^2,-2*E(3)^2,-2*E(3),-2*E(3)-4*E(3)^2,-4*E(3)-2*E(3)^2,
2*E(3)^2,2*E(3),-2,-2,E(3)+2*E(3)^2,2*E(3)+E(3)^2,2*E(3)^2,2*E(3),E(3),E(3)^2,
0,0,-1,-1,-1,-1,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0],[6720,320,-64,0,30,-12,0,
64,0,0,0,0,0,12*E(3)+20*E(3)^2,20*E(3)+12*E(3)^2,-10,-4,2,2,2,0,0,0,0,
-E(3)+E(3)^2,E(3)-E(3)^2,0,0,-1,-1,-8*E(3)^2,-8*E(3),-2,0,0,0,0,0,-1,-1,
760*E(3)+320*E(3)^2,320*E(3)+760*E(3)^2,-20*E(3)-40*E(3)^2,-40*E(3)-20*E(3)^2,
-2*E(3)-10*E(3)^2,-10*E(3)-2*E(3)^2,0,0,24*E(3)-64*E(3)^2,-64*E(3)+24*E(3)^2,
-40,-40,8*E(3),8*E(3)^2,12*E(3)+8*E(3)^2,8*E(3)+12*E(3)^2,8*E(3)+6*E(3)^2,
6*E(3)+8*E(3)^2,8,8,-4*E(3),-4*E(3)^2,6*E(3)+2*E(3)^2,2*E(3)+6*E(3)^2,0,0,
2*E(3)^2,2*E(3),0,0,3*E(3),3*E(3)^2,0,0,2*E(3)+E(3)^2,E(3)+2*E(3)^2,-8*E(3),
-8*E(3)^2,0,0,4*E(3),4*E(3)^2,0,0,0,0,-2*E(3),-2*E(3)^2,0,0,0,0,0,0,0,0,0,0,
-E(3),-E(3)^2,-E(3)^2,-E(3),0,0,0,0,0,0,-1,-1,-1,-1,E(3),E(3)^2],[6930,690,
-30,-54,90,18,0,2,10,6,2,-2,0,18*E(3)+6*E(3)^2,6*E(3)+18*E(3)^2,-6,6,-6,0,0,0,
0,-2,0,0,0,0,0,0,0,2*E(3)^2,2*E(3),2,-2*E(3)^2,-2*E(3),0,2,0,0,0,495,495,-45,
-45,9,9,0,0,63,63,45,45,-9,-9,3,3,-9,-9,-3,-3,3,3,-3,-3,-3,-3,3,3,0,0,9,9,0,0,
0,0,-1,-1,-5,-5,-1,-1,-1,-1,1,1,-1,-1,-1,-1,1,1,1,1,0,0,0,0,-3,-3,0,0,0,0,1,1,
0,0,0,0,0,0,-1,-1],[9240,280,152,24,-60,-57,0,24,-8,8,0,0,0,-3*E(3)+13*E(3)^2,
13*E(3)-3*E(3)^2,4,-1,-4,-2,2,0,0,0,0,-E(3)+E(3)^2,E(3)-E(3)^2,0,0,0,0,-3,-3,
0,1,1,-1,0,0,1,1,220*E(3)+440*E(3)^2,440*E(3)+220*E(3)^2,-50*E(3)+110*E(3)^2,
110*E(3)-50*E(3)^2,-8*E(3)-E(3)^2,-E(3)-8*E(3)^2,0,0,-4*E(3)-40*E(3)^2,
-40*E(3)-4*E(3)^2,10*E(3)+30*E(3)^2,30*E(3)+10*E(3)^2,12*E(3)+8*E(3)^2,
8*E(3)+12*E(3)^2,10,10,-6*E(3)+E(3)^2,E(3)-6*E(3)^2,2*E(3)+6*E(3)^2,
6*E(3)+2*E(3)^2,-6*E(3)+2*E(3)^2,2*E(3)-6*E(3)^2,-4*E(3)-E(3)^2,
-E(3)-4*E(3)^2,-2*E(3)+2*E(3)^2,2*E(3)-2*E(3)^2,-2*E(3)+E(3)^2,E(3)-2*E(3)^2,
0,0,-6*E(3)^2,-6*E(3),0,0,-E(3)+E(3)^2,E(3)-E(3)^2,4*E(3)+8*E(3)^2,
8*E(3)+4*E(3)^2,4*E(3),4*E(3)^2,-2*E(3)+2*E(3)^2,2*E(3)-2*E(3)^2,0,0,-2,-2,
-2*E(3)-E(3)^2,-E(3)-2*E(3)^2,0,0,E(3)^2,E(3),0,0,0,0,0,0,-2*E(3)^2,-2*E(3),1,
1,0,0,0,0,0,0,0,0,0,0,0,0],[9240,-40,-8,-24,-15,-30,0,88,8,0,-8,0,0,
18*E(3)+14*E(3)^2,14*E(3)+18*E(3)^2,17,-2,1,2,-2,0,0,0,0,-E(3)-2*E(3)^2,
-2*E(3)-E(3)^2,0,0,0,0,-2*E(3)^2,-2*E(3),1,2*E(3)^2,2*E(3),0,1,0,-E(3),
-E(3)^2,-110*E(3)+770*E(3)^2,770*E(3)-110*E(3)^2,-20*E(3)+80*E(3)^2,
80*E(3)-20*E(3)^2,13*E(3)+5*E(3)^2,5*E(3)+13*E(3)^2,0,0,34*E(3)+82*E(3)^2,
82*E(3)+34*E(3)^2,-10*E(3)-30*E(3)^2,-30*E(3)-10*E(3)^2,-6*E(3)+10*E(3)^2,
10*E(3)-6*E(3)^2,4*E(3)-8*E(3)^2,-8*E(3)+4*E(3)^2,3*E(3)+11*E(3)^2,
11*E(3)+3*E(3)^2,-2*E(3)-6*E(3)^2,-6*E(3)-2*E(3)^2,4*E(3)^2,4*E(3),-1,-1,
2*E(3)-2*E(3)^2,-2*E(3)+2*E(3)^2,1,1,0,0,3,3,0,0,2*E(3)+E(3)^2,E(3)+2*E(3)^2,
-2,-2,2,2,4,4,-2,-2,2,2,1,1,-2,-2,-1,-1,0,0,0,0,0,0,-1,-1,-E(3)^2,-E(3),0,0,0,
0,0,0,0,0,0,0,1,1],[10395,315,-21,-45,0,-54,0,75,-13,-1,3,-1,0,18,18,0,-6,0,0,
0,0,0,-1,1,0,0,0,0,0,0,-6,-6,0,2,2,2,0,0,0,0,495*E(3)+990*E(3)^2,
990*E(3)+495*E(3)^2,-45*E(3)+45*E(3)^2,45*E(3)-45*E(3)^2,-18*E(3)-9*E(3)^2,
-9*E(3)-18*E(3)^2,0,0,-81*E(3)-18*E(3)^2,-18*E(3)-81*E(3)^2,-45,-45,
15*E(3)+6*E(3)^2,6*E(3)+15*E(3)^2,3*E(3)-3*E(3)^2,-3*E(3)+3*E(3)^2,9*E(3)^2,
9*E(3),3,3,3*E(3)-3*E(3)^2,-3*E(3)+3*E(3)^2,6*E(3)+3*E(3)^2,3*E(3)+6*E(3)^2,3,
3,-3*E(3)^2,-3*E(3),0,0,0,0,0,0,0,0,-E(3)-2*E(3)^2,-2*E(3)-E(3)^2,
-E(3)-6*E(3)^2,-6*E(3)-E(3)^2,-E(3)+E(3)^2,E(3)-E(3)^2,-E(3)-2*E(3)^2,
-2*E(3)-E(3)^2,-1,-1,2*E(3)+E(3)^2,E(3)+2*E(3)^2,-E(3)+E(3)^2,E(3)-E(3)^2,
-E(3)^2,-E(3),-1,-1,0,0,0,0,0,0,0,0,0,0,-E(3),-E(3)^2,0,0,0,0,0,0,0,0],[11088,
720,16,48,36,-36,0,48,16,0,0,0,-2,0,0,-12,4,4,-6,-2,0,0,0,0,0,0,0,0,0,0,-6,-6,
0,-2,-2,0,0,1,0,0,264*E(3)+924*E(3)^2,924*E(3)+264*E(3)^2,-78*E(3)-48*E(3)^2,
-48*E(3)-78*E(3)^2,3*E(3)+15*E(3)^2,15*E(3)+3*E(3)^2,0,0,-24*E(3)+60*E(3)^2,
60*E(3)-24*E(3)^2,30*E(3)+60*E(3)^2,60*E(3)+30*E(3)^2,-8*E(3)+12*E(3)^2,
12*E(3)-8*E(3)^2,-6*E(3),-6*E(3)^2,3*E(3)-3*E(3)^2,-3*E(3)+3*E(3)^2,
-10*E(3)-4*E(3)^2,-4*E(3)-10*E(3)^2,-2*E(3),-2*E(3)^2,-3,-3,2*E(3)+4*E(3)^2,
4*E(3)+2*E(3)^2,3*E(3)+E(3)^2,E(3)+3*E(3)^2,0,0,0,0,0,0,0,0,8*E(3)+4*E(3)^2,
4*E(3)+8*E(3)^2,4*E(3)^2,4*E(3),2*E(3)+4*E(3)^2,4*E(3)+2*E(3)^2,0,0,-2*E(3),
-2*E(3)^2,-E(3)+E(3)^2,E(3)-E(3)^2,0,0,1,1,0,0,-2,-2,1,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0],[35640,1080,-72,-72,0,-81,0,-72,24,8,0,0,0,27,27,0,-9,0,0,0,0,3,
0,0,0,0,0,0,0,0,9,9,0,-3,-3,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[14784,704,64,0,-6,60,0,64,0,0,0,0,-1,
-12*E(3)-4*E(3)^2,-4*E(3)-12*E(3)^2,2,4,-2,2,-2,0,0,0,0,2*E(3)+E(3)^2,
E(3)+2*E(3)^2,0,-1,0,0,-8*E(3)^2,-8*E(3),-2,0,0,0,0,-1,-E(3)^2,-E(3),
1144*E(3)+440*E(3)^2,440*E(3)+1144*E(3)^2,4*E(3)-100*E(3)^2,-100*E(3)+4*E(3)^2
 ,4*E(3)+2*E(3)^2,2*E(3)+4*E(3)^2,0,0,24*E(3)-40*E(3)^2,-40*E(3)+24*E(3)^2,
64*E(3)+40*E(3)^2,40*E(3)+64*E(3)^2,-8,-8,-12*E(3)-4*E(3)^2,-4*E(3)-12*E(3)^2,
2*E(3),2*E(3)^2,-8*E(3)^2,-8*E(3),4,4,2*E(3)^2,2*E(3),0,0,-2*E(3),-2*E(3)^2,0,
0,3,3,0,0,-E(3)+E(3)^2,E(3)-E(3)^2,-8,-8,0,0,4,4,0,0,0,0,-2,-2,0,0,0,0,0,0,
-E(3),-E(3)^2,-E(3),-E(3)^2,-1,-1,-1,-1,0,0,0,0,-E(3),-E(3)^2,0,0,0,0,1,1],[
18480,-1360,112,-48,60,-6,0,-48,-16,0,0,0,0,6*E(3)+2*E(3)^2,2*E(3)+6*E(3)^2,
-4,-2,4,2,-2,0,0,0,0,-2*E(3)-E(3)^2,-E(3)-2*E(3)^2,0,0,0,0,6*E(3),6*E(3)^2,0,
2*E(3),2*E(3)^2,0,0,0,-E(3)^2,-E(3),-220*E(3)-440*E(3)^2,-440*E(3)-220*E(3)^2,
-40*E(3)-110*E(3)^2,-110*E(3)-40*E(3)^2,-19*E(3)-17*E(3)^2,-17*E(3)-19*E(3)^2,
0,0,4*E(3)+40*E(3)^2,40*E(3)+4*E(3)^2,20*E(3)+30*E(3)^2,30*E(3)+20*E(3)^2,
-12*E(3)-8*E(3)^2,-8*E(3)-12*E(3)^2,-8*E(3)+10*E(3)^2,10*E(3)-8*E(3)^2,
3*E(3)+11*E(3)^2,11*E(3)+3*E(3)^2,4*E(3)+6*E(3)^2,6*E(3)+4*E(3)^2,-2*E(3)^2,
-2*E(3),E(3)-5*E(3)^2,-5*E(3)+E(3)^2,4*E(3)+2*E(3)^2,2*E(3)+4*E(3)^2,1,1,0,0,
6*E(3),6*E(3)^2,0,0,E(3)+2*E(3)^2,2*E(3)+E(3)^2,-4*E(3)-8*E(3)^2,
-8*E(3)-4*E(3)^2,-4*E(3),-4*E(3)^2,-4*E(3)-2*E(3)^2,-2*E(3)-4*E(3)^2,0,0,
2*E(3)^2,2*E(3),-E(3)+E(3)^2,E(3)-E(3)^2,0,0,-1,-1,0,0,0,0,0,0,2*E(3),
2*E(3)^2,-E(3),-E(3)^2,0,0,0,0,0,0,0,0,0,0,0,0],[18711,-1161,-57,63,81,0,0,-9,
15,3,-1,-5,1,0,0,9,0,-3,0,0,0,0,-1,1,0,0,0,-1,0,0,0,0,-3,0,0,0,-1,1,0,0,891,
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2,0,0,0,0,0,-495*E(3)-990*E(3)^2,-990*E(3)-495*E(3)^2,45*E(3)-45*E(3)^2,
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ALF("U6(2).3","U6(2).3.2",[1,2,3,4,5,6,7,8,9,10,11,12,13,14,14,15,16,17,
18,19,20,21,22,23,24,24,25,26,27,27,28,28,29,30,30,31,32,33,34,34,35,35,
36,36,37,37,38,38,39,39,40,40,41,41,42,42,43,43,44,44,45,45,46,46,47,47,
48,48,49,49,50,50,51,51,52,52,53,53,54,54,55,55,56,56,57,57,58,58,59,59,
60,60,61,61,62,62,63,63,64,64,65,65,66,66,67,67,68,68,69,70,70,69,71,71],[
"fusion map is unique up to table autom.,\n",
"unique map that is compatible with Brauer tables"
]);
ALN("U6(2).3",["u6q2.3"]);

MOT("U6(2).3.2",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11],\n",
"constructions: Aut(U6(2))"
],
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48,90,45,216,54,21,48,30,33,33,36,2903040,46080,9216,3072,768,4320,1296,288,
216,72,192,192,128,128,60,20,288,144,96,72,24,14,32,32,18,24,24,30],
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ALF("U6(2).3.2","Co1",[1,2,2,4,6,7,6,9,10,11,12,11,16,23,22,21,22,20,22,
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"fusion map is unique"
]);
ALN("U6(2).3.2",["U6(2).S3","u6(2):s3"]);

MOT("3.U6(2).3.2",
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,-162,0,0,0,0,27,-54,27,0,0,0,-21,42,-21,-18,36,-18,0,0,0,0,0,0,6,-12,6,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,-6,3,3,-6,3,6,-12,6,-1,2,-1,0,0,0,0,0,0,2,-4,2,0
,0,0,0,0,0,-2,4,-2,1,-2,1,0,0,0,0,0,0,0,0,0,-1,2,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[80190,-40095,2430,
-1215,-162,81,-18,9,0,0,0,0,0,-162,81,-18,9,6,-3,-18,9,6,-3,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-2,1,6,-3,2,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,
E(63)+E(63)^4-E(63)^5+E(63)^8-E(63)^19-E(63)^23-E(63)^26+E(63)^31+E(63)^32
 -E(63)^37-E(63)^40-E(63)^44+E(63)^55-E(63)^58+E(63)^59+E(63)^62
,
-E(63)^4-E(63)^10+E(63)^13-E(63)^17+E(63)^19+E(63)^22+E(63)^26-E(63)^31
 -E(63)^32+E(63)^37+E(63)^41+E(63)^44-E(63)^46+E(63)^50-E(63)^53-E(63)^59
,
-E(63)+E(63)^5-E(63)^8+E(63)^10-E(63)^13+E(63)^17-E(63)^22+E(63)^23+E(63)^40
 -E(63)^41+E(63)^46-E(63)^50+E(63)^53-E(63)^55+E(63)^58-E(63)^62
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0],
[GALOIS,[202,11]],
[GALOIS,[202,5]]],
[(199,200),(159,161,160),( 53, 54)(168,171)(169,172)(170,173),
( 53, 54)(159,161,160)(168,171)(169,172)(170,173),
( 72, 73, 74)( 75, 76, 77)( 78, 79, 80)( 82, 83, 84)( 85, 86, 87)( 88, 89, 90)
( 91, 92, 93)( 94, 95, 96)( 97, 98, 99)(100,101,102)(103,104,105)(106,107,108)
(109,110,111)(113,114,115)(117,118,119)(120,121,122)(123,124,125)(126,127,128)
(129,130,131)(132,133,134)(135,136,137)(138,139,140)(141,142,143)(144,145,146)
(147,148,149)(150,151,152)(153,154,155)(156,157,158)(162,163,164)(165,166,167)
(168,169,170)(171,172,173)(174,175,176)
]);
ALF("3.U6(2).3.2","U6(2).3.2",[1,1,2,2,3,3,4,4,5,5,6,6,7,8,8,9,9,10,10,11,
11,12,12,13,13,14,14,14,15,15,16,16,17,17,18,18,19,19,20,21,21,22,22,23,
23,24,24,24,25,26,26,27,27,27,28,28,28,29,29,30,30,30,31,31,32,32,33,33,
34,34,34,35,35,35,36,36,36,37,37,37,38,39,39,39,40,40,40,41,41,41,42,42,
42,43,43,43,44,44,44,45,45,45,46,46,46,47,47,47,48,48,48,49,50,50,50,51,
52,52,52,53,53,53,54,54,54,55,55,55,56,56,56,57,57,57,58,58,58,59,59,59,
60,60,60,61,61,61,62,62,62,63,63,63,64,64,64,65,65,65,66,66,66,67,67,67,
68,68,68,69,69,69,70,70,70,71,71,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99]);
ALN("3.U6(2).3.2",["3.U6(2).S3","3.U6(2):S3"]);

MOT("(2^2x3).U6(2)",
[
"origin: computed in March 2000 from the tables of the factor groups\n",
"2^2.U6(2) and 6.U6(2), the subgroup 3x2^2xU5(2), and the supergroup 6.Fi22"
],
[110361968640,110361968640,110361968640,110361968640,110361968640,
110361968640,110361968640,110361968640,110361968640,110361968640,110361968640,
110361968640,159252480,159252480,159252480,159252480,159252480,159252480,
159252480,159252480,159252480,159252480,159252480,159252480,1769472,1769472,
1769472,1769472,1769472,1769472,1769472,1769472,1769472,1769472,1769472,
1769472,110592,110592,110592,933120,933120,933120,933120,933120,933120,933120,
933120,933120,933120,933120,933120,559872,559872,559872,559872,559872,559872,
559872,559872,559872,559872,559872,559872,7776,7776,7776,7776,165888,165888,
165888,18432,18432,18432,9216,9216,9216,9216,9216,9216,9216,9216,9216,9216,
9216,9216,9216,9216,9216,9216,9216,9216,9216,9216,9216,9216,9216,9216,9216,
9216,9216,9216,9216,9216,768,768,768,360,360,360,360,360,360,360,360,360,360,
360,360,62208,62208,62208,62208,62208,62208,62208,62208,62208,62208,62208,
62208,62208,62208,62208,62208,62208,62208,62208,62208,62208,62208,62208,62208,
20736,20736,20736,20736,20736,20736,20736,20736,20736,20736,20736,20736,6912,
6912,6912,6912,6912,6912,6912,6912,6912,6912,6912,6912,3456,3456,3456,3456,
3456,3456,3456,3456,3456,3456,3456,3456,2592,2592,2592,2592,2592,2592,2592,
2592,2592,2592,2592,2592,864,864,864,864,864,864,864,864,864,864,864,864,288,
288,288,288,84,84,84,84,84,84,84,84,84,84,84,84,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,648,648,648,648,648,
648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,
108,108,108,108,120,120,120,120,120,120,120,120,120,120,120,120,132,132,132,
132,132,132,132,132,132,132,132,132,132,132,132,132,132,132,132,132,132,132,
132,132,2592,2592,2592,2592,2592,2592,1728,1728,1728,1728,1728,1728,1728,1728,
1728,1728,1728,1728,288,288,288,288,288,288,288,288,288,288,288,288,288,288,
288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,
288,288,288,180,180,180,180,180,180,180,180,180,180,180,180,216,216,216,216,
216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,
216],
[,[1,1,5,5,3,3,3,3,1,1,5,5,1,1,5,5,3,3,3,3,1,1,5,5,1,1,5,5,3,3,3,3,1,1,5,5,1,
3,5,40,40,44,44,42,42,42,42,40,40,44,44,52,52,56,56,54,54,54,54,52,52,56,56,
64,64,64,64,13,15,17,13,15,17,26,30,28,28,26,30,33,33,35,35,31,31,34,34,36,36,
32,32,25,25,29,29,27,27,27,27,25,25,29,29,25,27,29,107,107,111,111,109,109,
109,109,107,107,111,111,52,52,56,56,54,54,54,54,52,52,56,56,52,52,56,56,54,54,
54,54,52,52,56,56,40,40,44,44,42,42,42,42,40,40,44,44,52,52,56,56,54,54,54,54,
52,52,56,56,40,40,44,44,42,42,42,42,40,40,44,44,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,207,207,211,211,209,209,
209,209,207,207,211,211,71,73,72,74,76,75,75,74,76,80,80,84,84,82,82,86,86,90,
90,88,88,252,252,256,256,254,254,254,254,252,252,256,256,240,240,244,244,242,
242,242,242,240,240,244,244,264,264,264,264,107,107,111,111,109,109,109,109,
107,107,111,111,292,292,296,296,294,294,294,294,292,292,296,296,280,280,284,
284,282,282,282,282,280,280,284,284,131,133,135,119,121,123,143,143,147,147,
145,145,145,145,143,143,147,147,131,133,135,119,121,123,156,160,158,158,156,
160,163,163,165,165,161,161,164,164,166,166,162,162,167,167,171,171,169,169,
169,169,167,167,171,171,358,358,362,362,360,360,360,360,358,358,362,362,252,
252,256,256,254,254,254,254,252,252,256,256,240,240,244,244,242,242,242,242,
240,240,244,244],[1,2,1,2,1,2,9,10,9,10,9,10,13,14,13,14,13,14,21,22,21,22,21,
22,25,26,25,26,25,26,33,34,33,34,33,34,37,37,37,1,2,1,2,1,2,9,10,9,10,9,10,1,
2,1,2,1,2,9,10,9,10,9,10,1,2,9,10,68,68,68,71,71,71,74,74,74,78,78,78,80,81,
80,81,80,81,86,87,86,87,86,87,92,93,92,93,92,93,100,101,100,101,100,101,104,
104,104,107,108,107,108,107,108,115,116,115,116,115,116,13,14,13,14,13,14,21,
22,21,22,21,22,13,14,13,14,13,14,21,22,21,22,21,22,13,14,13,14,13,14,21,22,21,
22,21,22,25,26,25,26,25,26,33,34,33,34,33,34,25,26,25,26,25,26,33,34,33,34,33,
34,13,14,13,14,13,14,21,22,21,22,21,22,25,26,25,26,25,26,33,34,33,34,33,34,37,
37,37,37,207,208,207,208,207,208,215,216,215,216,215,216,219,219,219,222,222,
222,226,226,226,228,229,228,229,228,229,234,235,234,235,234,235,56,57,56,57,
56,57,58,59,58,59,58,59,54,55,54,55,54,55,62,63,62,63,62,63,52,53,60,61,268,
269,268,269,268,269,276,277,276,277,276,277,280,281,280,281,280,281,288,289,
288,289,288,289,292,293,292,293,292,293,300,301,300,301,300,301,68,68,68,68,
68,68,68,68,68,68,68,68,68,68,68,68,68,68,71,71,71,71,71,71,74,74,74,78,78,78,
80,81,80,81,80,81,86,87,86,87,86,87,92,93,92,93,92,93,100,101,100,101,100,101,
107,108,107,108,107,108,115,116,115,116,115,116,123,124,123,124,123,124,125,
126,125,126,125,126,133,134,133,134,133,134,141,142,141,142,141,142],,[1,2,5,
6,3,4,11,12,9,10,7,8,13,14,17,18,15,16,23,24,21,22,19,20,25,26,29,30,27,28,35,
36,33,34,31,32,37,39,38,40,41,44,45,42,43,50,51,48,49,46,47,52,53,56,57,54,55,
62,63,60,61,58,59,64,65,66,67,68,70,69,71,73,72,74,76,75,79,78,77,80,81,84,85,
82,83,86,87,90,91,88,89,92,93,96,97,94,95,102,103,100,101,98,99,104,106,105,1,
2,5,6,3,4,11,12,9,10,7,8,131,132,135,136,133,134,141,142,139,140,137,138,119,
120,123,124,121,122,129,130,127,128,125,126,143,144,147,148,145,146,153,154,
151,152,149,150,155,156,159,160,157,158,165,166,163,164,161,162,167,168,171,
172,169,170,177,178,175,176,173,174,179,180,183,184,181,182,189,190,187,188,
185,186,191,192,195,196,193,194,201,202,199,200,197,198,203,204,205,206,207,
208,211,212,209,210,217,218,215,216,213,214,219,221,220,222,224,223,227,226,
225,228,229,232,233,230,231,234,235,238,239,236,237,252,253,256,257,254,255,
262,263,260,261,258,259,240,241,244,245,242,243,250,251,248,249,246,247,264,
265,266,267,13,14,17,18,15,16,23,24,21,22,19,20,280,281,284,285,282,283,290,
291,288,289,286,287,292,293,296,297,294,295,302,303,300,301,298,299,307,309,
308,304,306,305,310,311,314,315,312,313,320,321,318,319,316,317,325,327,326,
322,324,323,328,330,329,333,332,331,334,335,338,339,336,337,340,341,344,345,
342,343,346,347,350,351,348,349,356,357,354,355,352,353,40,41,44,45,42,43,50,
51,48,49,46,47,382,383,386,387,384,385,392,393,390,391,388,389,370,371,374,
375,372,373,380,381,378,379,376,377],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,
43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,
115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,
134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,
153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,
172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,
191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,1,2,3,4,5,6,7,
8,9,10,11,12,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,
235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,
254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,
273,274,275,276,277,278,279,292,293,294,295,296,297,298,299,300,301,302,303,
280,281,282,283,284,285,286,287,288,289,290,291,304,305,306,307,308,309,310,
311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,
330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,
349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,
368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,
387,388,389,390,391,392,393],,,,[1,2,5,6,3,4,11,12,9,10,7,8,13,14,17,18,15,16,
23,24,21,22,19,20,25,26,29,30,27,28,35,36,33,34,31,32,37,39,38,40,41,44,45,42,
43,50,51,48,49,46,47,52,53,56,57,54,55,62,63,60,61,58,59,64,65,66,67,68,70,69,
71,73,72,74,76,75,79,78,77,80,81,84,85,82,83,86,87,90,91,88,89,92,93,96,97,94,
95,102,103,100,101,98,99,104,106,105,107,108,111,112,109,110,117,118,115,116,
113,114,131,132,135,136,133,134,141,142,139,140,137,138,119,120,123,124,121,
122,129,130,127,128,125,126,143,144,147,148,145,146,153,154,151,152,149,150,
155,156,159,160,157,158,165,166,163,164,161,162,167,168,171,172,169,170,177,
178,175,176,173,174,179,180,183,184,181,182,189,190,187,188,185,186,191,192,
195,196,193,194,201,202,199,200,197,198,203,204,205,206,207,208,211,212,209,
210,217,218,215,216,213,214,219,221,220,222,224,223,227,226,225,228,229,232,
233,230,231,234,235,238,239,236,237,252,253,256,257,254,255,262,263,260,261,
258,259,240,241,244,245,242,243,250,251,248,249,246,247,264,265,266,267,268,
269,272,273,270,271,278,279,276,277,274,275,1,2,5,6,3,4,11,12,9,10,7,8,1,2,5,
6,3,4,11,12,9,10,7,8,307,309,308,304,306,305,310,311,314,315,312,313,320,321,
318,319,316,317,325,327,326,322,324,323,328,330,329,333,332,331,334,335,338,
339,336,337,340,341,344,345,342,343,346,347,350,351,348,349,356,357,354,355,
352,353,358,359,362,363,360,361,368,369,366,367,364,365,382,383,386,387,384,
385,392,393,390,391,388,389,370,371,374,375,372,373,380,381,378,379,376,377]],
0,
[(280,292)(281,293)(282,294)(283,295)(284,296)(285,297)(286,298)(287,299)
(288,300)(289,301)(290,302)(291,303),(  7,  8)(  9, 10)( 11, 12)( 19, 20)
( 21, 22)( 23, 24)( 31, 32)( 33, 34)( 35, 36)( 46, 47)( 48, 49)( 50, 51)
( 58, 59)( 60, 61)( 62, 63)( 66, 67)( 80, 86)( 81, 87)( 82, 88)( 83, 89)
( 84, 90)( 85, 91)( 98, 99)(100,101)(102,103)(113,114)(115,116)(117,118)
(125,126)(127,128)(129,130)(137,138)(139,140)(141,142)(149,150)(151,152)
(153,154)(161,162)(163,164)(165,166)(173,174)(175,176)(177,178)(185,186)
(187,188)(189,190)(197,198)(199,200)(201,202)(205,206)(213,214)(215,216)
(217,218)(228,234)(229,235)(230,236)(231,237)(232,238)(233,239)(246,247)
(248,249)(250,251)(258,259)(260,261)(262,263)(266,267)(274,275)(276,277)
(278,279)(286,287)(288,289)(290,291)(298,299)(300,301)(302,303)(316,317)
(318,319)(320,321)(334,340)(335,341)(336,342)(337,343)(338,344)(339,345)
(352,353)(354,355)(356,357)(364,365)(366,367)(368,369)(376,377)(378,379)
(380,381)(388,389)(390,391)(392,393),(  3,  5)(  4,  6)(  7, 11)(  8, 12)
( 15, 17)( 16, 18)( 19, 23)( 20, 24)( 27, 29)( 28, 30)( 31, 35)( 32, 36)
( 38, 39)( 42, 44)( 43, 45)( 46, 50)( 47, 51)( 54, 56)( 55, 57)( 58, 62)
( 59, 63)( 69, 70)( 72, 73)( 75, 76)( 77, 79)( 82, 84)( 83, 85)( 88, 90)
( 89, 91)( 94, 96)( 95, 97)( 98,102)( 99,103)(105,106)(109,111)(110,112)
(113,117)(114,118)(119,131)(120,132)(121,135)(122,136)(123,133)(124,134)
(125,141)(126,142)(127,139)(128,140)(129,137)(130,138)(145,147)(146,148)
(149,153)(150,154)(157,159)(158,160)(161,165)(162,166)(169,171)(170,172)
(173,177)(174,178)(181,183)(182,184)(185,189)(186,190)(193,195)(194,196)
(197,201)(198,202)(209,211)(210,212)(213,217)(214,218)(220,221)(223,224)
(225,227)(230,232)(231,233)(236,238)(237,239)(240,252)(241,253)(242,256)
(243,257)(244,254)(245,255)(246,262)(247,263)(248,260)(249,261)(250,258)
(251,259)(270,272)(271,273)(274,278)(275,279)(282,284)(283,285)(286,290)
(287,291)(294,296)(295,297)(298,302)(299,303)(304,307)(305,309)(306,308)
(312,314)(313,315)(316,320)(317,321)(322,325)(323,327)(324,326)(329,330)
(331,333)(336,338)(337,339)(342,344)(343,345)(348,350)(349,351)(352,356)
(353,357)(360,362)(361,363)(364,368)(365,369)(370,382)(371,383)(372,386)
(373,387)(374,384)(375,385)(376,392)(377,393)(378,390)(379,391)(380,388)
(381,389),(  2,  9)(  4, 11)(  6,  7)( 14, 21)( 16, 23)( 18, 19)( 26, 33)
( 28, 35)( 30, 31)( 41, 48)( 43, 50)( 45, 46)( 53, 60)( 55, 62)( 57, 58)
( 65, 66)( 74, 80)( 75, 84)( 76, 82)( 77, 83)( 78, 81)( 79, 85)( 93,100)
( 95,102)( 97, 98)(108,115)(110,117)(112,113)(120,127)(122,129)(124,125)
(132,139)(134,141)(136,137)(144,151)(146,153)(148,149)(156,163)(158,165)
(160,161)(168,175)(170,177)(172,173)(180,187)(182,189)(184,185)(192,199)
(194,201)(196,197)(204,205)(208,215)(210,217)(212,213)(222,228)(223,232)
(224,230)(225,231)(226,229)(227,233)(241,248)(243,250)(245,246)(253,260)
(255,262)(257,258)(265,266)(269,276)(271,278)(273,274)(281,288)(283,290)
(285,286)(293,300)(295,302)(297,298)(311,318)(313,320)(315,316)(328,334)
(329,338)(330,336)(331,337)(332,335)(333,339)(347,354)(349,356)(351,352)
(359,366)(361,368)(363,364)(371,378)(373,380)(375,376)(383,390)(385,392)
(387,388)],
["ConstructV4G","6.U6(2)",(  2,  9, 10)(  4, 11, 12)(  6,  7,  8)
( 14, 21, 22)( 16, 23, 24)( 18, 19, 20)( 26, 33, 34)( 28, 35, 36)( 30, 31, 32)
( 41, 48, 49)( 43, 50, 51)( 45, 46, 47)( 53, 60, 61)( 55, 62, 63)( 57, 58, 59)
( 65, 66, 67)( 74, 80, 86)( 75, 84, 90)( 76, 82, 88)( 77, 83, 89)( 78, 81, 87)
( 79, 85, 91)( 93,100,101)( 95,102,103)( 97, 98, 99)(108,115,116)(110,117,118)
(112,113,114)(120,127,128)(122,129,130)(124,125,126)(132,139,140)(134,141,142)
(136,137,138)(144,151,152)(146,153,154)(148,149,150)(156,163,164)(158,165,166)
(160,161,162)(168,175,176)(170,177,178)(172,173,174)(180,187,188)(182,189,190)
(184,185,186)(192,199,200)(194,201,202)(196,197,198)(204,205,206)(208,215,216)
(210,217,218)(212,213,214)(222,228,234)(223,232,238)(224,230,236)(225,231,237)
(226,229,235)(227,233,239)(241,248,249)(243,250,251)(245,246,247)(253,260,261)
(255,262,263)(257,258,259)(265,266,267)(269,276,277)(271,278,279)(273,274,275)
(281,288,289)(283,290,291)(285,286,287)(293,300,301)(295,302,303)(297,298,299)
(311,318,319)(313,320,321)(315,316,317)(328,334,340)(329,338,344)(330,336,342)
(331,337,343)(332,335,341)(333,339,345)(347,354,355)(349,356,357)(351,352,353)
(359,366,367)(361,368,369)(363,364,365)(371,378,379)(373,380,381)(375,376,377)
(383,390,391)(385,392,393)(387,388,389)]);
ALF("(2^2x3).U6(2)","6.U6(2)",[1,1,3,3,5,5,2,2,4,4,6,6,7,7,9,9,11,11,8,8,
10,10,12,12,13,13,15,15,17,17,14,14,16,16,18,18,19,20,21,22,22,24,24,26,
26,23,23,25,25,27,27,28,28,30,30,32,32,29,29,31,31,33,33,34,34,35,35,36,
37,38,39,40,41,42,44,46,43,45,47,48,48,49,49,50,50,51,51,52,52,53,53,54,
54,56,56,58,58,55,55,57,57,59,59,60,61,62,63,63,65,65,67,67,64,64,66,66,
68,68,69,69,71,71,73,73,70,70,72,72,74,74,75,75,77,77,79,79,76,76,78,78,
80,80,81,81,83,83,85,85,82,82,84,84,86,86,87,87,89,89,91,91,88,88,90,90,
92,92,93,93,95,95,97,97,94,94,96,96,98,98,99,99,101,101,103,103,100,100,
102,102,104,104,105,105,107,107,109,109,106,106,108,108,110,110,111,111,
112,112,113,113,115,115,117,117,114,114,116,116,118,118,119,120,121,122,
124,126,123,125,127,128,128,129,129,130,130,131,131,132,132,133,133,134,
134,136,136,138,138,135,135,137,137,139,139,140,140,142,142,144,144,141,
141,143,143,145,145,146,146,147,147,148,148,150,150,152,152,149,149,151,
151,153,153,154,154,156,156,158,158,155,155,157,157,159,159,160,160,162,
162,164,164,161,161,163,163,165,165,166,167,168,169,170,171,172,172,174,
174,176,176,173,173,175,175,177,177,178,179,180,181,182,183,184,186,188,
185,187,189,190,190,191,191,192,192,193,193,194,194,195,195,196,196,198,
198,200,200,197,197,199,199,201,201,202,202,204,204,206,206,203,203,205,
205,207,207,208,208,210,210,212,212,209,209,211,211,213,213,214,214,216,
216,218,218,215,215,217,217,219,219]);
ALF("(2^2x3).U6(2)","2^2.U6(2)",[1,2,1,2,1,2,3,4,3,4,3,4,5,6,5,6,5,6,7,8,
7,8,7,8,9,10,9,10,9,10,11,12,11,12,11,12,13,13,13,14,15,14,15,14,15,16,17,
16,17,16,17,18,19,18,19,18,19,20,21,20,21,20,21,22,23,24,25,26,26,26,27,
27,27,28,28,28,29,29,29,30,31,30,31,30,31,32,33,32,33,32,33,34,35,34,35,
34,35,36,37,36,37,36,37,38,38,38,39,40,39,40,39,40,41,42,41,42,41,42,43,
44,43,44,43,44,45,46,45,46,45,46,47,48,47,48,47,48,49,50,49,50,49,50,51,
52,51,52,51,52,53,54,53,54,53,54,55,56,55,56,55,56,57,58,57,58,57,58,59,
60,59,60,59,60,61,62,61,62,61,62,63,64,63,64,63,64,65,66,65,66,65,66,67,
68,67,68,67,68,69,70,69,70,69,70,71,72,73,74,75,76,75,76,75,76,77,78,77,
78,77,78,79,79,79,80,80,80,81,81,81,82,83,82,83,82,83,84,85,84,85,84,85,
86,87,86,87,86,87,88,89,88,89,88,89,90,91,90,91,90,91,92,93,92,93,92,93,
94,95,96,97,98,99,98,99,98,99,100,101,100,101,100,101,102,103,102,103,102,
103,104,105,104,105,104,105,106,107,106,107,106,107,108,109,108,109,108,
109,110,110,110,111,111,111,112,113,112,113,112,113,114,115,114,115,114,
115,116,116,116,117,117,117,118,118,118,119,119,119,120,121,120,121,120,
121,122,123,122,123,122,123,124,125,124,125,124,125,126,127,126,127,126,
127,128,129,128,129,128,129,130,131,130,131,130,131,132,133,132,133,132,
133,134,135,134,135,134,135,136,137,136,137,136,137,138,139,138,139,138,
139]);
ALF("(2^2x3).U6(2)","3.U6(2)",[1,1,3,3,2,2,2,2,1,1,3,3,4,4,6,6,5,5,5,5,4,
4,6,6,7,7,9,9,8,8,8,8,7,7,9,9,10,11,12,13,13,15,15,14,14,14,14,13,13,15,
15,16,16,18,18,17,17,17,17,16,16,18,18,19,19,19,19,20,21,22,23,24,25,26,
28,27,27,26,28,29,29,30,30,31,31,32,32,33,33,34,34,35,35,37,37,36,36,36,
36,35,35,37,37,38,39,40,41,41,43,43,42,42,42,42,41,41,43,43,44,44,46,46,
45,45,45,45,44,44,46,46,47,47,49,49,48,48,48,48,47,47,49,49,50,50,52,52,
51,51,51,51,50,50,52,52,53,53,55,55,54,54,54,54,53,53,55,55,56,56,58,58,
57,57,57,57,56,56,58,58,59,59,61,61,60,60,60,60,59,59,61,61,62,62,64,64,
63,63,63,63,62,62,64,64,65,65,65,65,66,66,68,68,67,67,67,67,66,66,68,68,
69,70,71,72,74,73,73,72,74,75,75,76,76,77,77,78,78,79,79,80,80,81,81,83,
83,82,82,82,82,81,81,83,83,84,84,86,86,85,85,85,85,84,84,86,86,87,87,87,
87,88,88,90,90,89,89,89,89,88,88,90,90,91,91,93,93,92,92,92,92,91,91,93,
93,94,94,96,96,95,95,95,95,94,94,96,96,97,98,99,100,101,102,103,103,105,
105,104,104,104,104,103,103,105,105,106,107,108,109,110,111,112,114,113,
113,112,114,115,115,116,116,117,117,118,118,119,119,120,120,121,121,123,
123,122,122,122,122,121,121,123,123,124,124,126,126,125,125,125,125,124,
124,126,126,127,127,129,129,128,128,128,128,127,127,129,129,130,130,132,
132,131,131,131,131,130,130,132,132]);
ALF("(2^2x3).U6(2)","2.U6(2)",[1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,
4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,8,8,8,8,8,8,9,9,9,9,9,9,10,10,10,10,
10,10,11,11,11,11,11,11,12,12,13,13,14,14,14,15,15,15,16,16,16,17,17,17,
18,18,18,18,18,18,19,19,19,19,19,19,20,20,20,20,20,20,21,21,21,21,21,21,
22,22,22,23,23,23,23,23,23,24,24,24,24,24,24,25,25,25,25,25,25,26,26,26,
26,26,26,27,27,27,27,27,27,28,28,28,28,28,28,29,29,29,29,29,29,30,30,30,
30,30,30,31,31,31,31,31,31,32,32,32,32,32,32,33,33,33,33,33,33,34,34,34,
34,34,34,35,35,35,35,35,35,36,36,36,36,36,36,37,37,37,37,37,37,38,38,38,
38,38,38,39,39,40,40,41,41,41,41,41,41,42,42,42,42,42,42,43,43,43,44,44,
44,45,45,45,46,46,46,46,46,46,47,47,47,47,47,47,48,48,48,48,48,48,49,49,
49,49,49,49,50,50,50,50,50,50,51,51,51,51,51,51,52,52,53,53,54,54,54,54,
54,54,55,55,55,55,55,55,56,56,56,56,56,56,57,57,57,57,57,57,58,58,58,58,
58,58,59,59,59,59,59,59,60,60,60,61,61,61,62,62,62,62,62,62,63,63,63,63,
63,63,64,64,64,65,65,65,66,66,66,67,67,67,68,68,68,68,68,68,69,69,69,69,
69,69,70,70,70,70,70,70,71,71,71,71,71,71,72,72,72,72,72,72,73,73,73,73,
73,73,74,74,74,74,74,74,75,75,75,75,75,75,76,76,76,76,76,76,77,77,77,77,
77,77]);
ALF("(2^2x3).U6(2)","U6(2)",[1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,
2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,
6,6,6,6,7,7,7,7,8,8,8,9,9,9,10,10,10,10,10,10,11,11,11,11,11,11,12,12,12,
12,12,12,13,13,13,13,13,13,13,13,13,13,13,13,14,14,14,15,15,15,15,15,15,
15,15,15,15,15,15,16,16,16,16,16,16,16,16,16,16,16,16,17,17,17,17,17,17,
17,17,17,17,17,17,18,18,18,18,18,18,18,18,18,18,18,18,19,19,19,19,19,19,
19,19,19,19,19,19,20,20,20,20,20,20,20,20,20,20,20,20,21,21,21,21,21,21,
21,21,21,21,21,21,22,22,22,22,22,22,22,22,22,22,22,22,23,23,23,23,24,24,
24,24,24,24,24,24,24,24,24,24,25,25,25,26,26,26,26,26,26,27,27,27,27,27,
27,28,28,28,28,28,28,29,29,29,29,29,29,29,29,29,29,29,29,30,30,30,30,30,
30,30,30,30,30,30,30,31,31,31,31,32,32,32,32,32,32,32,32,32,32,32,32,33,
33,33,33,33,33,33,33,33,33,33,33,34,34,34,34,34,34,34,34,34,34,34,34,35,
35,35,36,36,36,37,37,37,37,37,37,37,37,37,37,37,37,38,38,38,39,39,39,40,
40,40,40,40,40,41,41,41,41,41,41,42,42,42,42,42,42,43,43,43,43,43,43,43,
43,43,43,43,43,44,44,44,44,44,44,44,44,44,44,44,44,45,45,45,45,45,45,45,
45,45,45,45,45,46,46,46,46,46,46,46,46,46,46,46,46]);
ALF("(2^2x3).U6(2)","(2^2x3).U6(2).3",[1,2,3,4,5,6,6,6,2,2,4,4,7,8,9,10,
11,12,12,12,8,8,10,10,13,14,15,16,17,18,18,18,14,14,16,16,19,20,21,22,23,
24,25,26,27,27,27,23,23,25,25,28,29,30,31,32,33,33,33,29,29,31,31,34,35,
35,35,36,37,38,39,40,41,42,43,44,45,46,47,42,46,44,45,43,47,42,46,44,45,
43,47,48,49,50,51,52,53,53,53,49,49,51,51,54,55,56,57,58,59,60,61,62,62,
62,58,58,60,60,63,64,65,66,67,68,68,68,64,64,66,66,69,70,71,72,73,74,74,
74,70,70,72,72,75,76,77,78,79,80,80,80,76,76,78,78,81,82,83,84,85,86,86,
86,82,82,84,84,87,88,89,90,91,92,92,92,88,88,90,90,93,94,95,96,97,98,98,
98,94,94,96,96,99,100,101,102,103,104,104,104,100,100,102,102,105,106,106,
106,107,108,109,110,111,112,112,112,108,108,110,110,113,114,115,116,117,
118,119,120,121,116,120,118,119,117,121,116,120,118,119,117,121,122,123,
124,125,126,127,127,127,123,123,125,125,128,129,130,131,132,133,133,133,
129,129,131,131,134,135,135,135,136,137,138,139,140,141,141,141,137,137,
139,139,142,143,144,145,146,147,147,147,143,143,145,145,148,149,150,151,
152,153,153,153,149,149,151,151,154,155,156,157,158,159,160,161,162,163,
164,165,165,165,161,161,163,163,166,167,168,169,170,171,172,173,174,175,
176,177,172,176,174,175,173,177,172,176,174,175,173,177,178,179,180,181,
182,183,183,183,179,179,181,181,184,185,186,187,188,189,189,189,185,185,
187,187,190,191,192,193,194,195,195,195,191,191,193,193,196,197,198,199,
200,201,201,201,197,197,199,199],[
"fusion map is unique up to table autom.,\n",
"compatible with Brauer tables and factors"
]);
ALF("(2^2x3).U6(2)","6.Fi22",[1,4,3,6,5,2,11,8,7,10,9,12,16,13,18,15,14,
17,8,11,10,7,12,9,13,16,15,18,17,14,20,20,19,19,21,21,19,20,21,22,25,24,
27,26,23,65,62,61,64,63,66,28,29,28,29,28,29,71,68,67,70,69,72,30,31,85,
86,34,35,36,43,44,45,34,36,35,44,43,45,46,49,50,47,48,51,46,49,50,47,48,
51,52,52,54,54,53,53,38,41,40,37,42,39,52,53,54,55,58,57,60,59,56,139,136,
135,138,137,140,78,75,74,77,76,73,72,69,68,71,70,67,74,77,76,73,78,75,70,
67,72,69,68,71,82,79,84,81,80,83,62,65,64,61,66,63,73,76,75,78,77,74,90,
91,90,91,90,91,79,82,81,84,83,80,88,88,87,87,89,89,97,94,99,96,95,98,86,
85,86,85,86,85,94,97,96,99,98,95,100,101,100,101,100,101,93,92,101,100,
104,107,106,109,108,105,213,210,209,212,211,214,116,117,118,110,112,111,
114,113,115,122,119,120,123,124,121,119,122,123,120,121,124,129,126,125,
128,127,130,229,232,231,228,227,230,127,130,129,126,125,128,233,236,235,
238,237,234,131,132,239,240,144,141,146,143,142,145,136,139,138,135,140,
137,147,150,149,152,151,148,263,260,259,262,261,264,153,156,155,158,157,
154,269,266,265,268,267,270,161,159,160,160,161,159,162,165,164,167,166,
163,169,169,168,168,170,170,185,183,184,184,185,183,159,161,160,184,183,
185,178,177,178,177,178,177,180,179,180,179,180,179,186,186,188,188,187,
187,172,175,174,171,176,173,215,218,217,220,219,216,281,278,277,280,279,
282,242,245,244,241,246,243,238,235,234,237,236,233,246,243,242,245,244,
241,230,227,232,229,228,231],[
"fusion map is unique up to table autom.,\n",
"compatible with Brauer tables and factors"
]);
ALF("(2^2x3).U6(2)","(2^2x3).U6(2).2",[1,2,3,4,3,4,5,6,7,7,6,5,8,9,10,11,
10,11,12,13,14,14,13,12,15,16,17,18,17,18,19,20,21,21,20,19,22,23,23,24,
25,26,27,26,27,28,29,30,30,29,28,31,32,33,34,33,34,35,36,37,37,36,35,38,
39,40,40,41,42,42,43,44,44,45,46,46,47,48,47,49,50,51,52,53,54,49,50,53,
54,51,52,55,56,57,58,57,58,59,60,61,61,60,59,62,63,63,64,65,66,67,66,67,
68,69,70,70,69,68,71,72,73,74,75,76,77,78,79,80,81,82,71,72,75,76,73,74,
82,81,80,79,78,77,83,84,85,86,85,86,87,88,89,89,88,87,90,91,92,93,92,93,
94,95,96,96,95,94,97,98,99,100,99,100,101,102,103,103,102,101,104,105,106,
107,106,107,108,109,110,110,109,108,111,112,113,114,113,114,115,116,117,
117,116,115,118,119,120,120,121,122,123,124,123,124,125,126,127,127,126,
125,128,129,129,130,131,131,132,133,132,134,135,136,137,138,139,134,135,
138,139,136,137,140,141,142,143,144,145,146,147,148,149,150,151,140,141,
144,145,142,143,151,150,149,148,147,146,152,153,154,154,155,156,157,158,
157,158,159,160,161,161,160,159,162,163,164,165,166,167,168,169,170,171,
172,173,162,163,166,167,164,165,173,172,171,170,169,168,174,175,176,174,
176,175,177,178,179,180,179,180,181,182,183,183,182,181,184,185,186,184,
186,185,187,188,188,189,190,189,191,192,193,194,195,196,191,192,195,196,
193,194,197,198,199,200,199,200,201,202,203,203,202,201,204,205,206,207,
206,207,208,209,210,210,209,208,211,212,213,214,215,216,217,218,219,220,
221,222,211,212,215,216,213,214,222,221,220,219,218,217],[
"fusion map is unique up to table autom.,\n",
"compatible with Brauer tables and factors"
]);
ALN("(2^2x3).U6(2)",["6.Fi22M1"]);

MOT("(2^2x3).U6(2).2",
[
"constructed using `PossibleCharacterTablesOfTypeMGA'"
],
[220723937280,220723937280,110361968640,110361968640,110361968640,110361968640
,110361968640,318504960,318504960,159252480,159252480,159252480,159252480,
159252480,3538944,3538944,1769472,1769472,1769472,1769472,1769472,221184,
110592,1866240,1866240,933120,933120,933120,933120,933120,1119744,1119744,
559872,559872,559872,559872,559872,15552,15552,7776,331776,165888,36864,18432,
18432,9216,9216,18432,9216,9216,9216,9216,9216,9216,18432,18432,9216,9216,9216
,9216,9216,1536,768,720,720,360,360,360,360,360,62208,62208,62208,62208,62208,
62208,62208,62208,62208,62208,62208,62208,41472,41472,20736,20736,20736,20736,
20736,13824,13824,6912,6912,6912,6912,6912,6912,6912,3456,3456,3456,3456,3456,
5184,5184,2592,2592,2592,2592,2592,1728,1728,864,864,864,864,864,576,576,288,
168,168,84,84,84,84,84,384,192,384,192,192,384,192,192,192,192,192,192,648,648
,648,648,648,648,648,648,648,648,648,648,216,216,108,240,240,120,120,120,120,
120,132,132,132,132,132,132,132,132,132,132,132,132,2592,2592,2592,3456,3456,
1728,1728,1728,1728,1728,288,288,288,576,288,288,576,288,288,288,288,288,288,
576,576,288,288,288,288,288,360,360,180,180,180,180,180,216,216,216,216,216,
216,216,216,216,216,216,216,5806080,5806080,92160,92160,18432,18432,6144,6144,
1536,1536,8640,8640,2592,2592,576,576,432,432,144,144,384,384,192,128,128,120,
120,40,40,576,576,288,288,192,192,144,144,48,48,28,28,32,32,36,36,48,48,48,48,
60,60],
[,[1,1,3,3,3,3,1,1,1,3,3,3,3,1,1,1,3,3,3,3,1,1,3,24,24,26,26,26,26,24,31,31,33
,33,33,33,31,38,38,38,8,10,8,10,16,18,18,16,21,21,20,20,19,19,15,15,17,17,17,
17,15,15,17,64,64,66,66,66,66,64,31,31,33,33,33,33,33,33,31,31,33,33,24,24,26,
26,26,26,24,31,31,33,33,33,33,31,24,24,26,26,26,26,24,38,38,38,38,38,38,38,38,
38,38,38,38,38,38,38,38,38,121,121,123,123,123,123,121,43,44,45,46,46,45,49,49
,53,53,51,51,140,140,142,142,144,144,144,144,140,140,142,142,152,152,152,64,64
,66,66,66,66,64,162,162,164,164,166,166,166,166,162,162,164,164,71,75,73,83,83
,85,85,85,85,83,71,75,73,91,93,93,91,96,96,95,95,94,94,97,97,99,99,99,99,97,
204,204,206,206,206,206,204,140,140,142,142,144,144,144,144,140,140,142,142,1,
2,1,2,15,16,15,16,15,16,24,25,31,32,24,25,38,39,38,39,41,41,48,45,45,64,65,64,
65,97,98,90,91,97,98,111,112,111,112,121,122,128,128,152,153,177,178,190,190,
204,205],[1,2,1,2,7,7,7,8,9,8,9,14,14,14,15,16,15,16,21,21,21,22,22,1,2,1,2,7,
7,7,1,2,1,2,7,7,7,1,2,7,41,41,43,43,45,45,48,48,49,50,49,50,49,50,55,56,55,56,
61,61,61,62,62,64,65,64,65,70,70,70,8,9,8,9,8,9,14,14,14,14,14,14,8,9,8,9,14,
14,14,15,16,15,16,21,21,21,15,16,15,16,21,21,21,8,9,8,9,14,14,14,15,16,15,16,
21,21,21,22,22,22,121,122,121,122,127,127,127,128,128,130,130,133,133,134,135,
134,135,134,135,33,34,33,34,33,34,35,36,35,36,35,36,31,32,37,155,156,155,156,
161,161,161,162,163,162,163,162,163,170,171,170,171,170,171,41,41,41,41,41,41,
41,41,41,41,43,43,43,45,45,48,48,49,50,49,50,49,50,55,56,55,56,61,61,61,64,65,
64,65,70,70,70,75,76,75,76,75,76,77,78,77,78,77,78,223,224,225,226,227,228,229
,230,231,232,223,224,223,224,225,226,223,224,225,226,243,244,245,246,247,248,
249,250,251,227,228,227,228,229,230,227,228,231,232,262,263,264,265,235,236,
243,244,245,245,248,249],,[1,2,3,4,6,5,7,8,9,10,11,13,12,14,15,16,17,18,20,19,
21,22,23,24,25,26,27,29,28,30,31,32,33,34,36,35,37,38,39,40,41,42,43,44,45,46,
47,48,49,50,53,54,51,52,55,56,57,58,60,59,61,62,63,1,2,3,4,6,5,7,71,72,73,74,
75,76,78,77,80,79,82,81,83,84,85,86,88,87,89,90,91,92,93,95,94,96,97,98,99,100
,102,101,103,104,105,106,107,109,108,110,111,112,113,114,116,115,117,118,119,
120,121,122,123,124,126,125,127,128,129,130,131,132,133,134,135,138,139,136,
137,140,141,142,143,144,145,147,146,149,148,151,150,152,153,154,8,9,10,11,13,
12,14,162,163,166,167,164,165,172,173,170,171,168,169,174,175,176,177,178,179,
180,182,181,183,184,185,186,187,188,189,190,191,192,195,196,193,194,197,198,
199,200,202,201,203,24,25,26,27,29,28,30,211,212,213,214,215,216,218,217,220,
219,222,221,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,
239,240,241,242,243,244,245,246,247,223,224,225,226,252,253,254,255,256,257,
258,259,260,261,262,263,265,264,266,267,268,269,271,270,233,234],,[1,2,3,4,5,6
,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33
,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59
,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85
,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108
,109,110,111,112,113,114,115,116,117,118,119,120,1,2,3,4,5,6,7,128,129,130,131
,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,
151,152,153,154,155,156,157,158,159,160,161,162,163,166,167,164,165,173,172,
171,170,169,168,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,
189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,
208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,
227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,
246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,223,224,265,
264,266,267,268,269,271,270,272,273],,,,[1,2,3,4,6,5,7,8,9,10,11,13,12,14,15,
16,17,18,20,19,21,22,23,24,25,26,27,29,28,30,31,32,33,34,36,35,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,53,54,51,52,55,56,57,58,60,59,61,62,63,64,65,66,67,
69,68,70,71,72,73,74,75,76,78,77,80,79,82,81,83,84,85,86,88,87,89,90,91,92,93,
95,94,96,97,98,99,100,102,101,103,104,105,106,107,109,108,110,111,112,113,114,
116,115,117,118,119,120,121,122,123,124,126,125,127,128,129,130,131,132,133,
134,135,138,139,136,137,140,141,142,143,144,145,147,146,149,148,151,150,152,
153,154,155,156,157,158,160,159,161,1,2,3,4,3,4,6,5,7,7,5,6,174,175,176,177,
178,179,180,182,181,183,184,185,186,187,188,189,190,191,192,195,196,193,194,
197,198,199,200,202,201,203,204,205,206,207,209,208,210,211,212,213,214,215,
216,218,217,220,219,222,221,223,224,225,226,227,228,229,230,231,232,233,234,
235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,
254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,
273]],
0,
[(264,265),(164,166)(165,167)(168,173)(169,172)(170,171)(264,265),
(264,265)(270,271),
(  5,  6)( 12, 13)( 19, 20)( 28, 29)( 35, 36)( 51, 53)( 52, 54)( 59, 60)
( 68, 69)( 77, 78)( 79, 80)( 81, 82)( 87, 88)( 94, 95)(101,102)(108,109)
(115,116)(125,126)(136,138)(137,139)(146,147)(148,149)(150,151)(159,160)
(168,169)(170,171)(172,173)(181,182)(193,195)(194,196)(201,202)(208,209)
(217,218)(219,220)(221,222)(264,265)(270,271)
],
["ConstructMGA","(2^2x3).U6(2)","2^2.U6(2).2",[[78,79],[80,81],[82,83],[84,85]
,[86,87],[88,89],[90,91],[92,93],[94,97],[95,96],[98,99],[100,101],[102,103],[
104,105],[106,107],[108,109],[110,113],[111,112],[114,115],[116,117],[118,119]
,[120,121],[122,123],[124,125],[126,127],[128,129],[130,131],[132,133],[134,
135],[136,139],[137,138],[140,141],[142,143],[144,145],[146,147],[148,149],[
150,151],[152,155],[153,154],[156,157],[158,159],[160,161],[162,163],[164,165]
,[166,167],[168,169],[170,171],[172,173],[174,175],[176,177],[178,179],[180,
181],[182,183],[184,185],[186,187],[188,189],[190,191],[192,193],[194,197],[
195,196],[198,199],[200,201],[202,203],[204,205],[206,207],[208,209],[210,211]
,[212,213],[214,215],[216,217],[218,219],[251,339],[252,338],[253,341],[254,
340],[255,343],[256,342],[257,345],[258,344],[259,347],[260,346],[261,349],[
262,348],[263,351],[264,350],[265,353],[266,352],[267,355],[268,354],[269,357]
,[270,356],[271,359],[272,358],[273,361],[274,360],[275,363],[276,362],[277,
365],[278,364],[279,367],[280,366],[281,371],[282,370],[283,369],[284,368],[
285,373],[286,372],[287,375],[288,374],[289,377],[290,376],[291,379],[292,378]
,[293,381],[294,380],[295,383],[296,382],[297,385],[298,384],[299,387],[300,
386],[301,389],[302,388],[303,391],[304,390],[305,393],[306,392]],()]);
ALF("(2^2x3).U6(2).2","U6(2).2",[1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,
3,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,6,7,7,7,8,8,9,9,10,10,10,10,11,11,11,11,
11,11,12,12,12,12,12,12,12,13,13,14,14,14,14,14,14,14,15,15,15,15,15,15,
15,15,15,15,15,15,16,16,16,16,16,16,16,17,17,17,17,17,17,17,18,18,18,18,
18,18,18,19,19,19,19,19,19,19,20,20,20,20,20,20,20,21,21,21,22,22,22,22,
22,22,22,23,23,24,24,24,24,25,25,25,25,25,25,26,26,26,26,26,26,26,26,26,
26,26,26,27,27,27,28,28,28,28,28,28,28,29,29,29,29,29,29,29,29,29,29,29,
29,30,30,30,31,31,31,31,31,31,31,32,32,32,33,33,33,33,34,34,34,34,34,34,
35,35,35,35,35,35,35,36,36,36,36,36,36,36,37,37,37,37,37,37,37,37,37,37,
37,37,38,38,39,39,40,40,41,41,42,42,43,43,44,44,45,45,46,46,47,47,48,48,
49,50,51,52,52,53,53,54,54,55,55,56,56,57,57,58,58,59,59,60,61,62,62,63,
63,64,64,65,65]);
ALF("(2^2x3).U6(2).2","2.U6(2).2",[1,1,1,1,2,2,2,3,3,3,3,4,4,4,5,5,5,5,6,
6,6,7,7,8,8,8,8,9,9,9,10,10,10,10,11,11,11,12,12,13,14,14,15,15,16,16,17,
17,18,18,18,18,18,18,19,19,19,19,20,20,20,21,21,22,22,22,22,23,23,23,24,
24,24,24,24,24,25,25,25,25,25,25,26,26,26,26,27,27,27,28,28,28,28,29,29,
29,30,30,30,30,31,31,31,32,32,32,32,33,33,33,34,34,34,34,35,35,35,36,36,
37,38,38,38,38,39,39,39,40,40,41,41,42,42,43,43,43,43,43,43,44,44,44,44,
44,44,45,45,45,45,45,45,46,46,47,48,48,48,48,49,49,49,50,50,50,50,50,50,
51,51,51,51,51,51,52,52,52,53,53,53,53,54,54,54,55,55,55,56,56,57,57,58,
58,58,58,58,58,59,59,59,59,60,60,60,61,61,61,61,62,62,62,63,63,63,63,63,
63,64,64,64,64,64,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,
82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,
105,106,107,108,109,110,111,112,113,114,115]);
ALF("(2^2x3).U6(2).2","3.U6(2).2",[1,1,2,2,2,2,1,3,3,4,4,4,4,3,5,5,6,6,6,
6,5,7,8,9,9,10,10,10,10,9,11,11,12,12,12,12,11,13,13,13,14,15,16,17,18,19,
19,18,20,20,21,21,22,22,23,23,24,24,24,24,23,25,26,27,27,28,28,28,28,27,
29,29,31,31,30,30,30,30,29,29,31,31,32,32,33,33,33,33,32,34,34,35,35,35,
35,34,36,36,37,37,37,37,36,38,38,39,39,39,39,38,40,40,41,41,41,41,40,42,
42,42,43,43,44,44,44,44,43,45,46,47,48,48,47,49,49,50,50,51,51,52,52,54,
54,53,53,53,53,52,52,54,54,55,55,55,56,56,57,57,57,57,56,58,58,60,60,59,
59,59,59,58,58,60,60,61,62,63,64,64,65,65,65,65,64,66,67,68,69,70,70,69,
71,71,72,72,73,73,74,74,75,75,75,75,74,76,76,77,77,77,77,76,78,78,80,80,
79,79,79,79,78,78,80,80,81,81,82,82,83,83,84,84,85,85,86,86,87,87,88,88,
89,89,90,90,91,91,92,93,94,95,95,96,96,97,97,98,98,99,99,100,100,101,101,
102,102,103,104,105,105,106,106,107,107,108,108]);
ALF("(2^2x3).U6(2).2","2^2.U6(2).2",[1,2,1,2,3,3,3,4,5,4,5,6,6,6,7,8,7,8,
9,9,9,10,10,11,12,11,12,13,13,13,14,15,14,15,16,16,16,17,18,19,20,20,21,
21,22,22,23,23,24,25,24,25,24,25,26,27,26,27,28,28,28,29,29,30,31,30,31,
32,32,32,33,34,33,34,33,34,35,36,35,36,35,36,37,38,37,38,39,39,39,40,41,
40,41,42,42,42,43,44,43,44,45,45,45,46,47,46,47,48,48,48,49,50,49,50,51,
51,51,52,53,54,55,56,55,56,57,57,57,58,58,59,59,60,60,61,62,61,62,61,62,
63,64,63,64,63,64,65,66,65,66,65,66,67,68,69,70,71,70,71,72,72,72,73,74,
73,74,73,74,75,76,75,76,75,76,77,77,77,78,79,78,79,80,80,80,81,81,81,82,
82,83,83,84,85,84,85,84,85,86,87,86,87,88,88,88,89,90,89,90,91,91,91,92,
93,92,93,92,93,94,95,94,95,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,
125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,
143,144,145,146]);
ALF("(2^2x3).U6(2).2","6.U6(2).2",[1,1,3,3,2,2,4,5,5,7,7,6,6,8,9,9,11,11,
10,10,12,13,14,15,15,17,17,16,16,18,19,19,21,21,20,20,22,23,23,24,25,26,
27,28,29,31,30,32,33,33,34,34,35,35,36,36,38,38,37,37,39,40,41,42,42,44,
44,43,43,45,46,46,48,48,50,50,47,47,49,49,51,51,52,52,54,54,53,53,55,56,
56,58,58,57,57,59,60,60,62,62,61,61,63,64,64,66,66,65,65,67,68,68,70,70,
69,69,71,72,72,73,74,74,76,76,75,75,77,78,79,80,82,81,83,84,84,85,85,86,
86,87,87,89,89,91,91,88,88,90,90,92,92,93,93,94,95,95,97,97,96,96,98,99,
99,101,101,103,103,100,100,102,102,104,104,105,106,107,108,108,110,110,
109,109,111,112,113,114,115,117,116,118,119,119,120,120,121,121,122,122,
124,124,123,123,125,126,126,128,128,127,127,129,130,130,132,132,134,134,
131,131,133,133,135,135,136,137,138,139,140,141,142,143,144,145,146,147,
148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,
166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,
184,185,186]);
ALF("(2^2x3).U6(2).2","6.Fi22.2",[1,4,3,2,7,6,5,11,8,9,10,6,7,5,8,11,10,9,
13,13,12,12,13,14,17,16,15,43,42,41,18,19,18,19,46,45,44,20,21,55,24,25,
29,30,24,25,30,29,31,34,33,32,33,32,35,35,36,36,27,28,26,35,36,37,40,39,
38,91,90,89,48,49,48,49,50,47,46,45,45,46,44,44,54,51,52,53,42,43,41,47,
50,49,48,58,58,58,51,54,53,52,57,57,56,64,61,62,63,55,55,55,61,64,63,62,
65,65,65,60,59,65,68,71,70,69,134,133,132,76,77,72,73,75,74,78,78,79,80,
80,79,83,82,81,84,83,82,144,147,146,143,142,145,85,86,148,95,92,93,94,90,
91,89,96,99,98,101,100,97,164,161,160,163,162,165,103,102,103,104,107,106,
105,109,109,108,118,117,118,102,103,118,117,114,113,114,113,114,113,119,
119,120,120,111,112,110,135,138,137,136,172,171,170,150,151,152,149,150,
151,146,143,144,147,142,145,173,175,174,175,178,176,178,177,178,179,181,
185,184,188,187,185,186,194,193,194,196,195,197,195,196,199,200,201,200,
207,202,208,203,207,206,209,205,209,210,213,214,215,215,218,219,224,223,
226,225,229,230],[
"compatible with (2^2x3).U6(2) -> 6.Fi22"
]);
ALN("(2^2x3).U6(2).2",["6.Fi22.2M2"]);

MOT("(2^2x3).U6(2).3",
[
"constructed using `PossibleCharacterTablesOfTypeMGA'"
],
[331085905920,110361968640,331085905920,110361968640,331085905920,110361968640
,477757440,159252480,477757440,159252480,477757440,159252480,5308416,1769472,
5308416,1769472,5308416,1769472,331776,331776,331776,2799360,933120,2799360,
933120,2799360,933120,1679616,559872,1679616,559872,1679616,559872,23328,7776,
497664,497664,497664,55296,55296,55296,9216,9216,9216,9216,9216,9216,27648,
9216,27648,9216,27648,9216,2304,2304,2304,1080,360,1080,360,1080,360,186624,
62208,186624,62208,186624,62208,186624,62208,186624,62208,186624,62208,62208,
20736,62208,20736,62208,20736,20736,6912,20736,6912,20736,6912,10368,3456,
10368,3456,10368,3456,7776,2592,7776,2592,7776,2592,2592,864,2592,864,2592,864
,864,288,252,84,252,84,252,84,576,576,576,192,192,192,192,192,192,1944,648,
1944,648,1944,648,1944,648,1944,648,1944,648,324,108,360,120,360,120,360,120,
396,132,396,132,396,132,396,132,396,132,396,132,7776,7776,7776,7776,7776,7776,
5184,1728,5184,1728,5184,1728,864,864,864,864,864,864,288,288,288,288,288,288,
864,288,864,288,864,288,540,180,540,180,540,180,648,216,648,216,648,216,648,
216,648,216,648,216,123171840,123171840,123171840,123171840,123171840,
123171840,1399680,1399680,1399680,1399680,1399680,1399680,34992,34992,34992,
34992,34992,34992,4536,4536,746496,746496,746496,746496,746496,746496,466560,
466560,466560,466560,466560,466560,41472,41472,41472,41472,41472,41472,31104,
31104,31104,31104,31104,31104,11664,11664,11664,11664,11664,11664,10368,10368,
10368,10368,10368,10368,5184,5184,5184,5184,5184,5184,3888,3888,3888,3888,3888
,3888,1728,1728,1728,1728,1728,1728,1296,1296,1296,1296,1296,1296,72,72,5832,
5832,5832,5832,5832,5832,243,243,486,486,486,486,486,486,10368,10368,10368,
10368,10368,10368,3456,3456,3456,3456,3456,3456,2592,2592,2592,2592,2592,2592,
864,864,864,864,864,864,864,864,864,864,864,864,648,648,648,648,648,648,432,
432,432,432,432,432,216,216,216,216,216,216,144,144,144,144,144,144,270,270,
270,270,270,270,135,135,135,135,135,135,648,648,648,648,648,648,162,162,162,
162,162,162,63,63,63,63,63,63,144,144,144,144,144,144,90,90,90,90,90,90,99,99,
99,99,99,99,99,99,99,99,99,99,108,108,108,108,108,108],
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30,34,34,7,9,11,7,9,11,14,18,16,16,14,18,13,13,17,17,15,15,13,15,17,57,57,61,
61,59,59,28,28,32,32,30,30,28,28,32,32,30,30,22,22,26,26,24,24,28,28,32,32,30,
30,22,22,26,26,24,24,34,34,34,34,34,34,34,34,34,34,34,34,34,34,107,107,111,111
,109,109,39,41,40,42,44,43,43,42,44,128,128,132,132,130,130,122,122,126,126,
124,124,134,134,57,57,61,61,59,59,148,148,152,152,150,150,142,142,146,146,144,
144,69,71,73,63,65,67,75,75,79,79,77,77,69,71,73,63,65,67,82,86,84,84,82,86,87
,87,91,91,89,89,184,184,188,188,186,186,128,128,132,132,130,130,122,122,126,
126,124,124,205,206,207,202,203,204,211,212,213,208,209,210,217,218,219,214,
215,216,221,220,205,206,207,202,203,204,211,212,213,208,209,210,205,206,207,
202,203,204,211,212,213,208,209,210,217,218,219,214,215,216,211,212,213,208,
209,210,211,212,213,208,209,210,217,218,219,214,215,216,211,212,213,208,209,
210,217,218,219,214,215,216,221,220,287,288,289,284,285,286,291,290,295,296,
297,292,293,294,225,226,227,222,223,224,225,226,227,222,223,224,243,244,245,
240,241,242,237,238,239,234,235,236,243,244,245,240,241,242,267,268,269,264,
265,266,261,262,263,258,259,260,267,268,269,264,265,266,261,262,263,258,259,
260,355,356,357,352,353,354,361,362,363,358,359,360,287,288,289,284,285,286,
295,296,297,292,293,294,379,380,381,376,377,378,307,308,309,304,305,306,355,
356,357,352,353,354,403,404,405,400,401,402,397,398,399,394,395,396,367,368,
369,364,365,366],[1,2,1,2,1,2,7,8,7,8,7,8,13,14,13,14,13,14,19,19,19,1,2,1,2,1
,2,1,2,1,2,1,2,1,2,36,36,36,39,39,39,42,42,42,46,46,46,48,49,48,49,48,49,54,54
,54,57,58,57,58,57,58,7,8,7,8,7,8,7,8,7,8,7,8,7,8,7,8,7,8,13,14,13,14,13,14,13
,14,13,14,13,14,7,8,7,8,7,8,13,14,13,14,13,14,19,19,107,108,107,108,107,108,
113,113,113,116,116,116,120,120,120,32,33,32,33,32,33,30,31,30,31,30,31,28,29,
136,137,136,137,136,137,142,143,142,143,142,143,148,149,148,149,148,149,36,36,
36,36,36,36,36,36,36,36,36,36,39,39,39,39,39,39,42,42,42,46,46,46,48,49,48,49,
48,49,57,58,57,58,57,58,67,68,67,68,67,68,71,72,71,72,71,72,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,3,5,7,7,7,7,7,7,7,7,7,7,7,7,13,13,13,13,13,13,7,7,7,7,7,7,7,
7,7,7,7,7,13,13,13,13,13,13,13,13,13,13,13,13,7,7,7,7,7,7,19,19,19,19,19,19,13
,13,13,13,13,13,21,20,30,30,30,32,32,32,30,32,32,32,32,30,30,30,36,36,36,36,36
,36,39,39,39,39,39,39,36,36,36,36,36,36,48,48,48,48,48,48,39,39,39,39,39,39,36
,36,36,36,36,36,48,48,48,48,48,48,39,39,39,39,39,39,54,54,54,54,54,54,57,57,57
,57,57,57,57,57,57,57,57,57,71,71,71,67,67,67,67,67,67,71,71,71,109,109,109,
111,111,111,113,113,113,113,113,113,136,136,136,136,136,136,142,142,142,142,
142,142,148,148,148,148,148,148,159,159,159,155,155,155],,[1,2,5,6,3,4,7,8,11,
12,9,10,13,14,17,18,15,16,19,21,20,22,23,26,27,24,25,28,29,32,33,30,31,34,35,
36,38,37,39,41,40,42,44,43,47,46,45,48,49,52,53,50,51,54,56,55,1,2,5,6,3,4,69,
70,73,74,71,72,63,64,67,68,65,66,75,76,79,80,77,78,81,82,85,86,83,84,87,88,91,
92,89,90,93,94,97,98,95,96,99,100,103,104,101,102,105,106,107,108,111,112,109,
110,113,115,114,116,118,117,121,120,119,128,129,132,133,130,131,122,123,126,
127,124,125,134,135,7,8,11,12,9,10,142,143,146,147,144,145,148,149,152,153,150
,151,157,159,158,154,156,155,160,161,164,165,162,163,169,171,170,166,168,167,
172,174,173,177,176,175,178,179,182,183,180,181,22,23,26,27,24,25,196,197,200,
201,198,199,190,191,194,195,192,193,205,206,207,202,203,204,211,212,213,208,
209,210,217,218,219,214,215,216,221,220,225,226,227,222,223,224,231,232,233,
228,229,230,237,238,239,234,235,236,243,244,245,240,241,242,249,250,251,246,
247,248,255,256,257,252,253,254,261,262,263,258,259,260,267,268,269,264,265,
266,273,274,275,270,271,272,279,280,281,276,277,278,283,282,287,288,289,284,
285,286,291,290,295,296,297,292,293,294,301,302,303,298,299,300,307,308,309,
304,305,306,313,314,315,310,311,312,319,320,321,316,317,318,325,326,327,322,
323,324,331,332,333,328,329,330,337,338,339,334,335,336,343,344,345,340,341,
342,349,350,351,346,347,348,211,212,213,208,209,210,205,206,207,202,203,204,
367,368,369,364,365,366,373,374,375,370,371,372,381,379,380,378,376,377,385,
386,387,382,383,384,231,232,233,228,229,230,397,398,399,394,395,396,403,404,
405,400,401,402,409,410,411,406,407,408],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15
,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41
,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67
,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93
,94,95,96,97,98,99,100,101,102,103,104,105,106,1,2,3,4,5,6,113,114,115,116,117
,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,138,139,140,141,148,149,150,151,152,153,142,143,144,145,146,147,154,155,
156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,
175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,
194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,
213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,
232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,
251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,
270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,
289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,
308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,
327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,
346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,
365,366,367,368,369,370,371,372,373,374,375,220,220,220,221,221,221,382,383,
384,385,386,387,388,389,390,391,392,393,400,401,402,403,404,405,394,395,396,
397,398,399,406,407,408,409,410,411],,,,[1,2,5,6,3,4,7,8,11,12,9,10,13,14,17,
18,15,16,19,21,20,22,23,26,27,24,25,28,29,32,33,30,31,34,35,36,38,37,39,41,40,
42,44,43,47,46,45,48,49,52,53,50,51,54,56,55,57,58,61,62,59,60,69,70,73,74,71,
72,63,64,67,68,65,66,75,76,79,80,77,78,81,82,85,86,83,84,87,88,91,92,89,90,93,
94,97,98,95,96,99,100,103,104,101,102,105,106,107,108,111,112,109,110,113,115,
114,116,118,117,121,120,119,128,129,132,133,130,131,122,123,126,127,124,125,
134,135,136,137,140,141,138,139,1,2,5,6,3,4,1,2,5,6,3,4,157,159,158,154,156,
155,160,161,164,165,162,163,169,171,170,166,168,167,172,174,173,177,176,175,
178,179,182,183,180,181,184,185,188,189,186,187,196,197,200,201,198,199,190,
191,194,195,192,193,205,206,207,202,203,204,211,212,213,208,209,210,217,218,
219,214,215,216,221,220,225,226,227,222,223,224,231,232,233,228,229,230,237,
238,239,234,235,236,243,244,245,240,241,242,249,250,251,246,247,248,255,256,
257,252,253,254,261,262,263,258,259,260,267,268,269,264,265,266,273,274,275,
270,271,272,279,280,281,276,277,278,283,282,287,288,289,284,285,286,291,290,
295,296,297,292,293,294,301,302,303,298,299,300,307,308,309,304,305,306,313,
314,315,310,311,312,319,320,321,316,317,318,325,326,327,322,323,324,331,332,
333,328,329,330,337,338,339,334,335,336,343,344,345,340,341,342,349,350,351,
346,347,348,355,356,357,352,353,354,361,362,363,358,359,360,367,368,369,364,
365,366,373,374,375,370,371,372,380,381,379,377,378,376,385,386,387,382,383,
384,391,392,393,388,389,390,205,206,207,202,203,204,205,206,207,202,203,204,
409,410,411,406,407,408]],
0,
[(376,377,378)(379,380,381),
(142,148)(143,149)(144,150)(145,151)(146,152)(147,153)(394,400)(395,401)
(396,402)(397,403)(398,404)(399,405)
,
(202,203,204)(205,206,207)(208,209,210)(211,212,213)(214,215,216)(217,218,219)
(222,223,224)(225,226,227)(228,229,230)(231,232,233)(234,235,236)(237,238,239)
(240,241,242)(243,244,245)(246,247,248)(249,250,251)(252,253,254)(255,256,257)
(258,259,260)(261,262,263)(264,265,266)(267,268,269)(270,271,272)(273,274,275)
(276,277,278)(279,280,281)(284,285,286)(287,288,289)(292,293,294)(295,296,297)
(298,299,300)(301,302,303)(304,305,306)(307,308,309)(310,311,312)(313,314,315)
(316,317,318)(319,320,321)(322,323,324)(325,326,327)(328,329,330)(331,332,333)
(334,335,336)(337,338,339)(340,341,342)(343,344,345)(346,347,348)(349,350,351)
(352,353,354)(355,356,357)(358,359,360)(361,362,363)(364,365,366)(367,368,369)
(370,371,372)(373,374,375)(382,383,384)(385,386,387)(388,389,390)(391,392,393)
(394,395,396)(397,398,399)(400,401,402)(403,404,405)(406,407,408)(409,410,411)
,
(  3,  5)(  4,  6)(  9, 11)( 10, 12)( 15, 17)( 16, 18)( 20, 21)( 24, 26)
( 25, 27)( 30, 32)( 31, 33)( 37, 38)( 40, 41)( 43, 44)( 45, 47)( 50, 52)
( 51, 53)( 55, 56)( 59, 61)( 60, 62)( 63, 69)( 64, 70)( 65, 73)( 66, 74)
( 67, 71)( 68, 72)( 77, 79)( 78, 80)( 83, 85)( 84, 86)( 89, 91)( 90, 92)
( 95, 97)( 96, 98)(101,103)(102,104)(109,111)(110,112)(114,115)(117,118)
(119,121)(122,128)(123,129)(124,132)(125,133)(126,130)(127,131)(138,140)
(139,141)(144,146)(145,147)(150,152)(151,153)(154,157)(155,159)(156,158)
(162,164)(163,165)(166,169)(167,171)(168,170)(173,174)(175,177)(180,182)
(181,183)(186,188)(187,189)(190,196)(191,197)(192,200)(193,201)(194,198)
(195,199)(202,206,204,205,203,207)(208,212,210,211,209,213)(214,218,216,217,
 215,219)(220,221)(222,226,224,225,223,227)(228,232,230,231,229,233)
(234,238,236,237,235,239)(240,244,242,243,241,245)(246,250,248,249,247,251)
(252,256,254,255,253,257)(258,262,260,261,259,263)(264,268,266,267,265,269)
(270,274,272,273,271,275)(276,280,278,279,277,281)(282,283)(284,288,286,287,
 285,289)(290,291)(292,296,294,295,293,297)(298,302,300,301,299,303)
(304,308,306,307,305,309)(310,314,312,313,311,315)(316,320,318,319,317,321)
(322,326,324,325,323,327)(328,332,330,331,329,333)(334,338,336,337,335,339)
(340,344,342,343,341,345)(346,350,348,349,347,351)(352,356,354,355,353,357)
(358,362,360,361,359,363)(364,368,366,367,365,369)(370,374,372,373,371,375)
(376,379)(377,380)(378,381)(382,386,384,385,383,387)(388,392,390,391,389,393)
(394,398,396,397,395,399)(400,404,402,403,401,405)(406,410,408,409,407,411)
],
["ConstructMGA","(2^2x3).U6(2)","3.U6(2).3",[[47,220,307],[48,221,308],[49,222
,309],[50,223,310],[51,224,311],[52,225,312],[53,226,313],[54,227,314],[55,228
,315],[56,229,316],[57,230,317],[58,231,318],[59,232,319],[60,233,320],[61,234
,321],[62,235,322],[63,236,323],[64,237,324],[65,238,325],[66,239,326],[67,240
,327],[68,241,328],[69,242,329],[70,243,330],[71,244,331],[72,245,332],[73,246
,333],[74,247,334],[75,248,335],[76,249,336],[77,250,337],[164,251,338],[165,
252,339],[166,253,340],[167,254,341],[168,255,342],[169,256,343],[170,257,344]
,[171,258,345],[172,259,346],[173,260,347],[174,261,348],[175,262,349],[176,
263,350],[177,264,351],[178,265,352],[179,266,353],[180,267,354],[181,268,355]
,[182,269,356],[183,270,357],[184,271,358],[185,272,359],[186,273,360],[187,
274,361],[188,275,362],[189,276,363],[190,277,364],[191,278,365],[192,279,366]
,[193,280,367],[194,281,368],[195,282,369],[196,283,370],[197,284,371],[198,
285,372],[199,286,373],[200,287,374],[201,288,375],[202,289,376],[203,290,377]
,[204,291,378],[205,292,379],[206,293,380],[207,294,381],[208,295,382],[209,
296,383],[210,297,384],[211,298,385],[212,299,386],[213,300,387],[214,301,388]
,[215,302,389],[216,303,390],[217,304,391],[218,305,392],[219,306,393]],
(115,146,177,208,239,270,301,332,122,153,184,215,246,277,308,339,129,160,191,
222,253,284,315,346,136,167,198,229,260,291,322,353,143,174,205,236,267,298,
329,119,150,181,212,243,274,305,336,126,157,188,219,250,281,312,343,133,164,
195,226,257,288,319,350,140,171,202,233,264,295,326,116,147,178,209,240,271,
302,333,123,154,185,216,247,278,309,340,130,161,192,223,254,285,316,347,137,
168,199,230,261,292,323,354,144,175,206,237,268,299,330,120,151,182,213,244,
275,306,337,127,158,189,220,251,282,313,344,134,165,196,227,258,289,320,351,
141,172,203,234,265,296,327,117,148,179,210,241,272,303,334,124,155,186,217,
248,279,310,341,131,162,193,224,255,286,317,348,138,169,200,231,262,293,324,
355,145,176,207,238,269,300,331,121,152,183,214,245,276,307,338,128,159,190,
221,252,283,314,345,135,166,197,228,259,290,321,352,142,173,204,235,266,297,
328,118,149,180,211,242,273,304,335,125,156,187,218,249,280,311,342,132,163,
194,225,256,287,318,349,139,170,201,232,263,294,325)]);
ALF("(2^2x3).U6(2).3","U6(2).3",[1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,
4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,8,8,8,9,9,9,10,10,10,10,10,10,11,11,11,11,
11,11,12,12,12,13,13,13,13,13,13,14,14,14,14,14,14,15,15,15,15,15,15,16,
16,16,16,16,16,17,17,17,17,17,17,18,18,18,18,18,18,19,19,19,19,19,19,20,
20,20,20,20,20,21,21,22,22,22,22,22,22,23,23,23,24,24,24,24,24,24,25,25,
25,25,25,25,26,26,26,26,26,26,27,27,28,28,28,28,28,28,29,29,29,29,29,29,
30,30,30,30,30,30,31,31,31,32,32,32,33,33,33,33,33,33,34,34,34,35,35,35,
36,36,36,36,36,36,37,37,37,37,37,37,38,38,38,38,38,38,39,39,39,39,39,39,
40,40,40,40,40,40,42,42,42,41,41,41,44,44,44,43,43,43,46,46,46,45,45,45,
48,47,50,50,50,49,49,49,52,52,52,51,51,51,54,54,54,53,53,53,56,56,56,55,
55,55,58,58,58,57,57,57,60,60,60,59,59,59,62,62,62,61,61,61,64,64,64,63,
63,63,66,66,66,65,65,65,68,68,68,67,67,67,70,69,72,72,72,71,71,71,74,73,
76,76,76,75,75,75,78,78,78,77,77,77,80,80,80,79,79,79,82,82,82,81,81,81,
84,84,84,83,83,83,86,86,86,85,85,85,88,88,88,87,87,87,90,90,90,89,89,89,
92,92,92,91,91,91,94,94,94,93,93,93,96,96,96,95,95,95,98,98,98,97,97,97,
100,100,100,99,99,99,102,102,102,101,101,101,104,104,104,103,103,103,106,
106,106,105,105,105,108,108,108,107,107,107,110,110,110,109,109,109,112,
112,112,111,111,111,114,114,114,113,113,113]);
ALF("(2^2x3).U6(2).3","3.U6(2).3",[1,1,3,3,2,2,4,4,6,6,5,5,7,7,9,9,8,8,10,
11,12,13,13,15,15,14,14,16,16,18,18,17,17,19,19,20,21,22,23,24,25,26,28,
27,27,26,28,29,29,31,31,30,30,32,33,34,35,35,37,37,36,36,38,38,40,40,39,
39,41,41,43,43,42,42,44,44,46,46,45,45,47,47,49,49,48,48,50,50,52,52,51,
51,53,53,55,55,54,54,56,56,58,58,57,57,59,59,60,60,62,62,61,61,63,64,65,
66,68,67,67,66,68,69,69,71,71,70,70,72,72,74,74,73,73,75,75,76,76,78,78,
77,77,79,79,81,81,80,80,82,82,84,84,83,83,85,86,87,88,89,90,91,91,93,93,
92,92,94,95,96,97,98,99,100,102,101,101,100,102,103,103,105,105,104,104,
106,106,108,108,107,107,109,109,111,111,110,110,112,112,114,114,113,113,
118,119,120,115,116,117,124,125,126,121,122,123,130,131,132,127,128,129,
134,133,138,139,140,135,136,137,144,145,146,141,142,143,150,151,152,147,
148,149,156,157,158,153,154,155,162,163,164,159,160,161,168,169,170,165,
166,167,174,175,176,171,172,173,180,181,182,177,178,179,186,187,188,183,
184,185,192,193,194,189,190,191,196,195,200,201,202,197,198,199,204,203,
208,209,210,205,206,207,214,215,216,211,212,213,220,221,222,217,218,219,
226,227,228,223,224,225,232,233,234,229,230,231,238,239,240,235,236,237,
244,245,246,241,242,243,250,251,252,247,248,249,256,257,258,253,254,255,
262,263,264,259,260,261,268,269,270,265,266,267,274,275,276,271,272,273,
280,281,282,277,278,279,286,287,288,283,284,285,294,292,293,291,289,290,
298,299,300,295,296,297,304,305,306,301,302,303,310,311,312,307,308,309,
316,317,318,313,314,315,322,323,324,319,320,321]);
ALF("(2^2x3).U6(2).3","2^2.U6(2).3",[1,2,1,2,1,2,3,4,3,4,3,4,5,6,5,6,5,6,
7,7,7,8,9,8,9,8,9,10,11,10,11,10,11,12,13,14,14,14,15,15,15,16,16,16,17,
17,17,18,19,18,19,18,19,20,20,20,21,22,21,22,21,22,23,24,23,24,23,24,25,
26,25,26,25,26,27,28,27,28,27,28,29,30,29,30,29,30,31,32,31,32,31,32,33,
34,33,34,33,34,35,36,35,36,35,36,37,38,39,40,39,40,39,40,41,41,41,42,42,
42,43,43,43,44,45,44,45,44,45,46,47,46,47,46,47,48,49,50,51,50,51,50,51,
52,53,52,53,52,53,54,55,54,55,54,55,56,56,56,57,57,57,58,59,58,59,58,59,
60,60,60,61,61,61,62,62,62,63,63,63,64,65,64,65,64,65,66,67,66,67,66,67,
68,69,68,69,68,69,70,71,70,71,70,71,73,73,73,72,72,72,75,75,75,74,74,74,
77,77,77,76,76,76,79,78,81,81,81,80,80,80,83,83,83,82,82,82,85,85,85,84,
84,84,87,87,87,86,86,86,89,89,89,88,88,88,91,91,91,90,90,90,93,93,93,92,
92,92,95,95,95,94,94,94,97,97,97,96,96,96,99,99,99,98,98,98,101,100,103,
103,103,102,102,102,105,104,107,107,107,106,106,106,109,109,109,108,108,
108,111,111,111,110,110,110,113,113,113,112,112,112,115,115,115,114,114,
114,117,117,117,116,116,116,119,119,119,118,118,118,121,121,121,120,120,
120,123,123,123,122,122,122,125,125,125,124,124,124,127,127,127,126,126,
126,129,129,129,128,128,128,131,131,131,130,130,130,133,133,133,132,132,
132,135,135,135,134,134,134,137,137,137,136,136,136,139,139,139,138,138,
138,141,141,141,140,140,140,143,143,143,142,142,142,145,145,145,144,144,
144]);

LIBTABLE.LOADSTATUS.ctounit4:="userloaded";

#############################################################################
##
#E