Quelle ctoconja.tbl Sprache: unbekannt

#############################################################################
##
#W  ctoconja.tbl                GAP table library               Thomas Breuer
##
##  This file contains the ordinary character tables related to the
##  Conway and Janko groups.  These are the tables of $Co_1$, $Co_2$, $Co_3$,
##  $2.Co_1$, $J_1$, $J_2$, $2.J_2$, $J_2.2$, $2.J_2.2$, $J_3$, $3.J_3$,
##  $J_3.2$, $3.J_3.2$ and $J_4$.
##
#H  ctbllib history
#H  ---------------
#H  $Log: ctoconja.tbl,v $
#H  Revision 4.30  2012/06/20 14:45:29  gap
#H  added tables and fusions, as documented in ctbldiff.dat
#H      TB
#H
#H  Revision 4.29  2012/01/30 08:31:41  gap
#H  removed #H entries from the headers
#H      TB
#H
#H  Revision 4.28  2011/09/28 14:32:11  gap
#H  removed revision entry and SET_TABLEFILENAME call
#H      TB
#H
#H  Revision 4.27  2010/05/05 13:20:00  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 4.26  2010/01/19 17:05:30  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 4.25  2008/06/24 15:37:46  gap
#H  exchanged two maxes of Co1 (ATLAS error)
#H      TB
#H
#H  Revision 4.24  2007/07/03 08:42:52  gap
#H  added table of Isoclinic(2.J2.2),
#H  J2.2 is G2(4).2M2
#H      TB
#H
#H  Revision 4.23  2006/06/07 07:54:27  gap
#H  unified ConstructMixed and ConstructMGA (for better programmatic access)
#H      TB
#H
#H  Revision 4.22  2004/08/31 12:33:33  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 4.21  2004/03/30 08:05:55  gap
#H  unified tables `u4q3:2^2' and `U4(3).(2^2)_{133}'
#H      TB
#H
#H  Revision 4.20  2003/10/30 09:13:24  gap
#H  added fusion J2 -> S6(5)
#H      TB
#H
#H  Revision 4.19  2003/05/15 17:38:02  gap
#H  next step towards the closer connection to the library of tables of marks:
#H  added fusions tbl -> tom, adjusted fusions between character tables
#H  in order to make the diagrams commute, adjusted orderings of maxes
#H      TB
#H
#H  Revision 4.18  2003/01/24 15:57:29  gap
#H  replaced several fusions by ones that are compatible with Brauer tables
#H      TB
#H
#H  Revision 4.17  2002/09/18 15:22:00  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 4.16  2002/07/26 16:58:05  gap
#H  added more missing table automorphisms,
#H  removed a few inconvenient names such as `c2' for `Co2'
#H  (note that `c2' is used for the cyclic group of order 2,
#H  which occurs in direct product constructions ...)
#H      TB
#H
#H  Revision 4.15  2002/07/12 06:45:55  gap
#H  further tidying up: removed `irredinfo' stuff, rearranged constructions
#H      TB
#H
#H  Revision 4.14  2002/07/08 16:06:56  gap
#H  changed `construction' component from function (call) to list of function
#H  name and arguments
#H      TB
#H
#H  Revision 4.13  2001/08/28 16:23:23  gap
#H  added a few alias names (suggested by J. McKay)
#H      TB
#H
#H  Revision 4.12  2001/05/04 16:47:11  gap
#H  first revision for ctbllib
#H
#H
#H  tbl history (GAP 4)
#H  -------------------
#H  (Rev. 4.12 of ctbllib coincides with Rev. 4.11 of tbl in GAP 4)
#H
#H  RCS file: /gap/CVS/GAP/4.0/tbl/ctoconja.tbl,v
#H  Working file: ctoconja.tbl
#H  head: 4.11
#H  branch:
#H  locks: strict
#H  access list:
#H  symbolic names:
#H   GAP4R2: 4.10.0.6
#H   GAP4R2PRE2: 4.10.0.4
#H   GAP4R2PRE1: 4.10.0.2
#H   GAP4R1: 4.5.0.2
#H  keyword substitution: kv
#H  total revisions: 12; selected revisions: 12
#H  description:
#H  ----------------------------
#H  revision 4.11
#H  date: 2000/03/27 09:54:44;  author: gap;  state: Exp;  lines: +11 -14
#H  added some tables of maxes of 2.Suz and corresponding fusions,
#H  added table of 3.Fi22M5
#H
#H      TB
#H  ----------------------------
#H  revision 4.10
#H  date: 1999/10/22 13:24:48;  author: gap;  state: Exp;  lines: +4 -2
#H  added maxes of J2.2
#H
#H      TB
#H  ----------------------------
#H  revision 4.9
#H  date: 1999/10/21 14:15:46;  author: gap;  state: Exp;  lines: +7 -2
#H  added many `tomidentifer' and `tomfusion' values, which yields a better
#H  interface between `tom' and `tbl';
#H
#H  added maxes of McL.2,
#H
#H  unified tables `J2.2M4', `2^(2+4):(3x3):2^2', `2^(2+4):(S3xS3)'.
#H
#H      TB
#H  ----------------------------
#H  revision 4.8
#H  date: 1999/10/04 15:57:14;  author: gap;  state: Exp;  lines: +8 -2
#H  added and corrected several fusions from character tables
#H  to their tables of marks,
#H  unified two instances of the table of (A6xA6):2^2,
#H  corrected the name of the table of marks of 2F4(2).
#H
#H      TB
#H  ----------------------------
#H  revision 4.7
#H  date: 1999/09/17 14:11:50;  author: gap;  state: Exp;  lines: +6 -2
#H  added maxes of 3.Suz.2
#H
#H      TB
#H  ----------------------------
#H  revision 4.6
#H  date: 1999/08/23 10:26:59;  author: gap;  state: Exp;  lines: +3 -3
#H  unified tables of U3(5).S3 and U3(5).3.2
#H  (one CAS table, o ne ATLAS conformal table)
#H
#H      TB
#H  ----------------------------
#H  revision 4.5
#H  date: 1999/07/14 11:39:38;  author: gap;  state: Exp;  lines: +4 -3
#H  cosmetic changes for the release ...
#H
#H      TB
#H  ----------------------------
#H  revision 4.4
#H  date: 1998/04/03 09:44:45;  author: gap;  state: Exp;  lines: +3 -3
#H  renamed table `l52m10' to `2^10:L5(2)',
#H  reordered classes and characters,
#H  added fusion into O10+(2)
#H
#H      TB
#H  ----------------------------
#H  revision 4.3
#H  date: 1997/11/25 16:17:13;  author: gap;  state: Exp;  lines: +3 -3
#H  fixed succession of maxes for Fi22.2, J3.2, M12.2, M22.2
#H      (The simple group itself had not been contained before.)
#H          TB
#H  ----------------------------
#H  revision 4.2
#H  date: 1997/11/25 15:44:38;  author: gap;  state: Exp;  lines: +7 -2
#H  first attempt to link the library of character tables and the
#H      library of tables of marks
#H          TB
#H  ----------------------------
#H  revision 4.1
#H  date: 1997/07/17 15:38:31;  author: fceller;  state: Exp;  lines: +2 -2
#H  for version 4
#H  ----------------------------
#H  revision 1.1
#H  date: 1996/10/21 15:59:11;  author: sam;  state: Exp;
#H  first proposal of the table library
#H  ==========================================================================
##

MOT("2.Co1",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,13,23]"
],
[8315553613086720000,8315553613086720000,178362777600,178362777600,2012774400,
389283840,2690072985600,2690072985600,117573120,117573120,25194240,25194240,
1088640,1088640,743178240,743178240,1179648,1474560,1474560,294912,48384,
15360,6048000,6048000,72000,72000,30000,30000,19906560,19906560,483840,311040,
311040,311040,311040,41472,41472,31104,31104,3456,1440,576,35280,35280,2352,
2352,92160,6144,12288,12288,2048,1536,1536,768,3888,3888,972,972,972,972,
19200,19200,1200,1200,1200,1200,1200,1200,160,132,132,276480,276480,9216,4608,
5184,5184,3456,3456,864,576,576,576,576,576,288,576,576,72,48,312,312,168,112,
112,10800,10800,1800,1800,360,360,180,180,60,60,64,128,128,432,432,108,108,
108,108,960,960,40,40,40,504,504,126,126,42,42,44,44,46,46,46,46,576,384,384,
144,96,48,48,48,52,56,56,56,56,240,240,60,60,60,60,60,60,66,66,70,70,72,72,78,
78,78,78,80,80,84,120,120],
[,[1,1,1,1,2,1,7,7,9,9,11,11,13,13,4,4,4,3,3,3,5,6,23,23,25,25,27,27,7,7,8,9,
9,11,11,9,9,11,11,9,14,13,43,43,45,45,16,15,17,17,17,18,18,20,55,55,57,57,59,
59,23,23,24,26,25,25,27,27,25,70,70,30,30,30,29,39,39,37,37,31,37,34,34,36,36,
36,39,39,41,42,91,91,44,45,45,96,96,98,98,100,100,102,102,104,104,49,51,51,55,
55,57,57,59,59,62,62,69,67,67,120,120,122,122,124,124,70,70,128,128,130,130,
73,74,74,79,75,78,82,82,92,95,95,93,93,96,96,99,101,102,102,104,104,153,153,
155,155,110,110,159,159,161,161,116,116,121,146,146],[1,2,3,4,5,6,1,2,1,2,1,2,
1,2,15,16,17,18,19,20,21,22,23,24,25,26,27,28,3,4,5,3,4,3,4,3,4,3,4,6,5,6,43,
44,45,46,47,48,49,50,51,52,53,54,11,12,11,12,11,12,61,62,63,64,65,66,67,68,69,
70,71,15,16,17,20,15,16,15,16,21,17,18,19,18,19,20,17,17,21,22,91,92,93,94,95,
23,24,25,26,23,24,25,26,27,28,106,107,108,38,39,38,39,38,39,115,116,117,118,
119,43,44,43,44,45,46,126,127,128,129,130,131,47,49,50,47,54,48,52,53,140,141,
142,143,144,61,62,64,63,65,66,67,68,70,71,155,156,76,77,91,92,91,92,163,164,
93,115,116],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,1,2,1,
2,1,2,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,
53,54,55,56,57,58,59,60,3,4,5,5,3,4,3,4,6,70,71,72,73,74,75,76,77,78,79,80,81,
82,83,84,85,86,87,88,89,90,91,92,93,94,95,7,8,7,8,13,14,9,10,11,12,106,107,
108,109,110,111,112,113,114,15,16,22,18,19,120,121,122,123,124,125,126,127,
130,131,128,129,132,133,134,135,136,137,138,139,140,141,142,143,144,29,30,31,
41,32,33,34,35,153,154,43,44,157,158,159,160,161,162,47,47,165,72,73],,[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,
32,33,34,35,36,37,38,39,40,41,42,1,2,1,2,47,48,49,50,51,52,53,54,55,56,57,58,
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,
85,86,87,88,89,90,91,92,5,3,4,96,97,98,99,100,101,102,103,104,105,106,107,108,
109,110,111,112,113,114,115,116,117,118,119,7,8,9,10,13,14,127,126,130,131,
128,129,132,133,134,135,136,137,138,139,140,15,16,21,21,145,146,147,148,149,
150,151,152,153,154,23,24,157,158,161,162,159,160,163,164,31,166,167],,,,[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,
57,58,59,60,61,62,63,64,65,66,67,68,69,1,2,72,73,74,75,76,77,78,79,80,81,82,
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,
125,6,6,130,131,128,129,132,133,134,135,136,137,138,139,140,141,142,144,143,
145,146,147,148,149,150,151,152,7,8,155,156,157,158,159,160,161,162,164,163,
165,166,167],,[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,
77,78,79,80,81,82,83,84,85,86,87,88,89,90,1,2,93,94,95,96,97,98,99,100,101,
102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,
121,122,123,124,125,127,126,128,129,130,131,132,133,134,135,136,137,138,139,5,
141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,7,8,7,
8,164,163,165,166,167],,,,,,,,,,[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,
117,118,119,120,121,122,123,124,125,126,127,1,2,1,2,132,133,134,135,136,137,
138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,
157,158,161,162,159,160,163,164,165,166,167]],
0,
[(163,164),(159,161)(160,162),(143,144),(143,144)(163,164),(128,130)(129,131),
(126,127)],
["ConstructProj",[["Co1",[]],["2.Co1",[]]]]);
ARC("2.Co1","CAS",[rec(name:="2.c1",
permchars:=(94,95),
permclasses:=(32,34)(33,35)(48,50,49)(57,59)(58,60)(63,64)(65,67)(66,68)
(82,87)(83,88)(106,108,107)(147,148),
text:="")]);
ARC("2.Co1","maxes",["2xCo2","6.Suz.2","2.2^11:M24","2xCo3",
"(2x2^(1+8)_+).O8+(2)","2xU6(2).3.2","2.(A4xG2(4)).2","2.2^(2+12):(A8xS3)",
"2.2^(4+12).(S3x3S6)","(3^2x2).U4(3).D8","2x3^6:2.M12","2.(A5xJ2).2",
"2x3^(1+4).2U4(2).2","(2.A6xU3(3)).2","3^(3+4):(2.S4)^2","2.A9xS3",
"(2.A7xL2(7)).2","(D10x2.(A5xA5).2).2","2x5^(1+2):GL2(5)","5^3:(4x(2xA5).2)",
"2x7^2:(3x2A4)","2x5^2:2A5"]);
ALF("2.Co1","Co1",[1,1,2,2,3,4,5,5,6,6,7,7,8,8,9,9,10,11,11,12,13,14,15,
15,16,16,17,17,18,18,19,20,20,21,21,22,22,23,23,24,25,26,27,27,28,28,29,
30,31,31,32,33,33,34,35,35,36,36,37,37,38,38,39,40,41,41,42,42,43,44,44,
45,45,46,47,48,48,49,49,50,51,52,52,53,53,54,55,55,56,57,58,58,59,60,60,
61,61,62,62,63,63,64,64,65,65,66,67,67,68,68,69,69,70,70,71,71,72,73,73,
74,74,75,75,76,76,77,77,78,78,79,79,80,81,81,82,83,84,85,85,86,87,87,88,
88,89,89,90,91,92,92,93,93,94,94,95,95,96,96,97,97,98,98,99,99,100,101,
101]);
ALN("2.Co1",["2.F2-"]);

MOT("2.J2",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]"
],
[1209600,1209600,3840,3840,240,2160,2160,72,72,192,192,600,600,600,600,100,
100,100,100,48,48,12,14,14,16,16,20,20,20,20,20,20,24,24,30,30,30,30],
[,[1,1,1,1,2,6,6,8,8,3,3,14,14,12,12,18,18,16,16,6,6,9,23,23,11,11,15,13,18,
18,16,16,20,20,37,37,35,35],[1,2,3,4,5,1,2,1,2,10,11,14,15,12,13,18,19,16,17,
3,4,5,23,24,26,25,28,27,31,32,29,30,10,11,14,15,12,13],,[1,2,3,4,5,6,7,8,9,10,
11,1,2,1,2,1,2,1,2,20,21,22,23,24,25,26,5,5,3,4,3,4,33,34,6,7,6,7],,[1,2,3,4,
5,6,7,8,9,10,11,14,15,12,13,18,19,16,17,20,21,22,1,2,26,25,28,27,31,32,29,30,
33,34,37,38,35,36]],
0,
[(25,26),(12,14)(13,15)(16,18)(17,19)(27,28)(29,31)(30,32)(35,37)(36,38)],
["ConstructProj",[["J2",[]],["2.J2",[]]]]);
ARC("2.J2","CAS",[rec(name:="2.j2",
permchars:=(2,3)(8,9)(14,15)(22,23)(27,28),
permclasses:=(16,18)(17,19)(27,28),
text:="")]);
ARC("2.J2","maxes",["2xU3(3)","(2x3.A6).2","2^{1+4}_-:2A5","2^{3+4}:(3xS3)",
"2A4xA5","2A5xD10","(2xL3(2)).2","2.J2M8","2.A5"]);
ALF("2.J2","J2",[1,1,2,2,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,13,13,
14,14,15,16,17,17,18,18,19,19,20,20,21,21]);
ALF("2.J2","2.J2.2",[1,2,3,4,5,6,7,8,9,10,11,12,13,12,13,14,15,14,15,16,
17,18,19,20,21,21,22,22,23,24,23,24,25,26,27,28,27,28]);
ALF("2.J2","Isoclinic(2.J2.2)",[1,2,3,4,5,6,7,8,9,10,11,12,13,12,13,14,15,
14,15,16,17,18,19,20,21,21,22,22,23,24,23,24,25,26,27,28,27,28],[
"fusion map is unique"
]);
ALF("2.J2","2.G2(4)",[1,2,3,4,5,6,7,8,9,11,10,14,15,16,17,18,19,20,21,22,
23,24,25,26,27,27,34,35,30,31,32,33,37,36,44,45,46,47],[
"fusion map is unique up to table autom.,\n",
"representative compatible with factors"
]);
ALN("2.J2",["2.HJ","2.F5-","2.J2.2M1"]);

MOT("2.J2.2",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]"
],
[2419200,2419200,7680,7680,480,4320,4320,144,144,384,384,600,600,100,100,96,
96,24,28,28,16,20,20,20,48,48,30,30,672,96,48,48,12,192,192,32,24,24,24,24,28,
28,48,48,48,48],
[,[1,1,1,1,2,6,6,8,8,3,3,12,12,14,14,6,6,9,19,19,11,13,14,14,16,16,27,27,2,4,
5,5,9,11,11,11,17,17,18,18,20,20,26,26,26,26],[1,2,3,4,5,1,2,1,2,10,11,12,13,
14,15,3,4,5,19,20,21,22,23,24,10,11,12,13,29,30,32,31,29,35,34,36,30,30,32,31,
41,42,35,34,35,34],,[1,2,3,4,5,6,7,8,9,10,11,1,2,1,2,16,17,18,19,20,21,5,3,4,
25,26,6,7,29,30,32,31,33,35,34,36,38,37,40,39,42,41,44,43,46,45],,[1,2,3,4,5,
6,7,8,9,10,11,12,13,14,15,16,17,18,1,2,21,22,23,24,25,26,27,28,29,30,31,32,33,
34,35,36,38,37,39,40,29,29,45,46,43,44]],
0,
[(41,42),(37,38)(43,45)(44,46),(37,38)(41,42)(43,45)(44,46),(31,32)(34,35)
(37,38)(39,40)(41,42)(43,44)(45,46),(31,32)(34,35)(39,40)(43,46)(44,45)],
["ConstructProj",[["J2.2",[]],["2.J2.2",[]]]]);
ALF("2.J2.2","J2.2",[1,1,2,2,3,4,4,5,5,6,6,7,7,8,8,9,9,10,11,11,12,13,14,
14,15,15,16,16,17,18,19,19,20,21,21,22,23,23,24,24,25,25,26,26,27,27]);
ALF("2.J2.2","2.Suz",[1,2,3,4,5,6,7,10,11,13,12,19,20,17,18,21,22,29,30,
31,32,42,40,41,46,45,63,64,5,15,16,16,29,32,32,32,49,49,50,51,58,58,76,75,
75,76],[
"fusion map is unique up to table automorphisms,\n",
"compatible with Brauer tables"
]);
ALN("2.J2.2",["2.HJ.2","2.F5-.2"]);

MOT("Isoclinic(2.J2.2)",
[
"isoclinic group of the 2.J2.2 given in the ATLAS"
],
0,
0,
0,
[(41,42),(31,32)(34,35)(39,40)(43,46)(44,45),(37,38)(43,45)(44,46)],
["ConstructIsoclinic",[["2.J2.2"]]]);
ALF("Isoclinic(2.J2.2)","J2.2",[1,1,2,2,3,4,4,5,5,6,6,7,7,8,8,9,9,10,11,11,
12,13,14,14,15,15,16,16,17,18,19,19,20,21,21,22,23,23,24,24,25,25,26,26,27,
27]);
ALF("Isoclinic(2.J2.2)","2.G2(4).2",[1,2,3,4,5,6,7,8,9,11,10,14,15,16,17,
18,19,20,21,22,23,28,26,27,30,29,35,36,41,42,43,44,46,47,47,47,51,51,52,
53,54,55,60,61,61,60],[
"fusion map is unique up to table aut."
]);

MOT("3.J3",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,17,19]"
],
[150698880,150698880,150698880,5760,5760,5760,3240,3240,3240,243,288,288,288,
90,90,90,90,90,90,72,72,72,24,24,24,27,27,27,30,30,30,30,30,30,36,36,36,45,45,
45,45,45,45,51,51,51,51,51,51,57,57,57,57,57,57],
[,[1,3,2,1,3,2,7,9,8,10,4,6,5,17,19,18,14,16,15,7,9,8,11,13,12,27,28,26,17,19,
18,14,16,15,20,22,21,41,43,42,38,40,39,44,46,45,47,49,48,53,55,54,50,52,51],[
1,1,1,4,4,4,1,1,1,1,11,11,11,17,17,17,14,14,14,4,4,4,23,23,23,10,10,10,32,32,
32,29,29,29,11,11,11,17,17,17,14,14,14,47,47,47,44,44,44,53,53,53,50,50,50],,[
1,3,2,4,6,5,7,9,8,10,11,13,12,1,3,2,1,3,2,20,22,21,23,25,24,28,26,27,4,6,5,4,
6,5,35,37,36,7,9,8,7,9,8,47,49,48,44,46,45,50,52,51,53,55,54],,,,,,,,,,,,[1,3,
2,4,6,5,7,9,8,10,11,13,12,17,19,18,14,16,15,20,22,21,23,25,24,26,27,28,32,34,
33,29,31,30,35,37,36,41,43,42,38,40,39,1,3,2,1,3,2,50,52,51,53,55,54],,[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,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,1,2,3,1,2,3]],
0,
[(50,53)(51,54)(52,55),(44,47)(45,48)(46,49),(26,27,28),(14,17)(15,18)(16,19)
(29,32)(30,33)(31,34)(38,41)(39,42)(40,43),( 2, 3)( 5, 6)( 8, 9)(12,13)(15,16)
(18,19)(21,22)(24,25)(26,27,28)(30,31)(33,34)(36,37)(39,40)(42,43)(45,46)
(48,49)(51,52)(54,55),( 2, 3)( 5, 6)( 8, 9)(12,13)(15,16)(18,19)(21,22)(24,25)
(30,31)(33,34)(36,37)(39,40)(42,43)(45,46)(48,49)(51,52)(54,55)],
["ConstructProj",[["J3",[]],,["3.J3",[11,11,11,11,-1,11,11,-1,35,35,-37,-37,
-1,-1,-1,-1,-1]]]]);
ARC("3.J3","CAS",[rec(name:="3.j3",
permchars:=(4,5)(7,8)(14,15,16)(17,18)(22,24)(23,25)(26,28)(27,29)(32,34)
(33,35)(42,44)(43,45),
permclasses:=(),
text:="")]);
ARC("3.J3","maxes",["3xL2(16).2","3xL2(19)","3xL2(19)","3x2^4:(3xA5)",
"3xL2(17)","3x(3xA6):2_2","3^3.3^(1+2):8","3x2^(1+4)_-:A5",
"3x2^(2+4):(3xS3)"]);
ALF("3.J3","J3",[1,1,1,2,2,2,3,3,3,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,11,
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]);
ALF("3.J3","3.J3.2",[1,2,2,3,4,4,5,6,6,7,8,9,9,10,11,12,10,12,11,13,14,14,
15,16,16,17,18,19,20,21,22,20,22,21,23,24,24,25,26,27,25,27,26,28,29,29,
30,31,31,32,33,34,32,34,33],[
"fusion map is unique up to table autom.,\n",
"compatible with Brauer tables"
]);
ALN("3.J3",["3.J3.2M1"]);

MOT("3.J3.2",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,17,19]"
],
[301397760,150698880,11520,5760,6480,3240,486,576,288,90,90,90,144,72,48,24,
54,54,54,30,30,30,72,36,45,45,45,102,51,102,51,57,57,57,4896,96,18,96,32,12,
18,18,18,24,24,34,34],
[,[1,2,1,2,5,6,7,3,4,10,11,12,5,6,8,9,18,19,17,10,11,12,13,14,25,26,27,28,29,
30,31,32,33,34,1,3,7,8,8,13,18,19,17,23,23,28,30],[1,1,3,3,1,1,1,8,8,10,10,10,
3,3,15,15,7,7,7,20,20,20,8,8,10,10,10,30,30,28,28,32,32,32,35,36,35,38,39,36,
37,37,37,38,38,47,46],,[1,2,3,4,5,6,7,8,9,1,2,2,13,14,15,16,19,17,18,3,4,4,23,
24,5,6,6,30,31,28,29,32,34,33,35,36,37,38,39,40,43,41,42,44,45,47,
46],,,,,,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,1,2,1,2,32,34,33,35,36,37,38,39,40,41,42,43,45,44,35,35],,[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,
1,2,2,35,36,37,38,39,40,41,42,43,44,45,46,47]],
0,
[(44,45),(33,34),(28,30)(29,31)(46,47),(11,12)(21,22)(26,27),(11,12)(17,18,19)
(21,22)(26,27)(33,34)(41,42,43)(44,45),(17,18,19)(41,42,43),(17,19,18)
(41,43,42)],
["ConstructMGA","3.J3","J3.2",[[22,25],[23,24],[26,29],[27,28],[30,31],[32,
35],[33,34],[36,37],[38,39],[40,41],[42,45],[43,44],[46,47],[48,49],[50,51],
[52,53],[54,55]],()]);
ALF("3.J3.2","J3.2",[1,1,2,2,3,3,4,5,5,6,6,6,7,7,8,8,9,10,11,12,12,12,13,
13,14,14,14,15,15,16,16,17,17,17,18,19,20,21,22,23,24,25,26,27,28,29,30]);

MOT("Co1",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,13,23]"
],
[4157776806543360000,89181388800,2012774400,389283840,1345036492800,58786560,
12597120,544320,371589120,1179648,737280,294912,48384,15360,3024000,36000,
15000,9953280,483840,155520,155520,20736,15552,3456,1440,576,17640,1176,92160,
6144,6144,2048,768,768,1944,486,486,9600,1200,1200,600,600,160,66,138240,9216,
4608,2592,1728,864,576,288,288,288,288,72,48,156,168,56,5400,900,180,90,30,64,
64,216,54,54,480,40,20,252,63,21,22,23,23,576,192,144,96,48,24,52,28,28,120,
60,60,30,30,33,35,36,39,39,40,84,60],
[,[1,1,1,1,5,6,7,8,2,2,2,2,3,4,15,16,17,5,5,6,7,6,7,6,8,8,27,28,9,9,10,10,11,
12,35,36,37,15,15,16,16,17,16,44,18,18,18,23,22,19,22,21,22,22,23,25,26,58,27,
28,61,62,63,64,65,31,32,35,36,37,38,43,42,74,75,76,44,78,79,45,46,49,47,49,52,
58,60,59,61,62,63,64,65,94,95,68,97,98,71,74,89],[1,2,3,4,1,1,1,1,9,10,11,12,
13,14,15,16,17,2,3,2,2,2,2,4,3,4,27,28,29,30,31,32,33,34,7,7,7,38,39,40,41,42,
43,44,9,10,12,9,9,13,10,11,11,12,10,13,14,58,59,60,15,16,15,16,17,66,67,23,23,
23,71,72,73,27,27,28,77,78,79,29,31,29,34,30,33,86,87,88,38,40,39,41,42,44,95,
48,58,58,99,59,71],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,1,1,1,18,19,20,21,22,23,
24,25,26,27,28,29,30,31,32,33,34,35,36,37,2,3,3,2,2,4,44,45,46,47,48,49,50,51,
52,53,54,55,56,57,58,59,60,5,5,8,6,7,66,67,68,69,70,9,14,11,74,75,76,77,79,78,
80,81,82,83,84,85,86,87,88,18,19,25,20,21,94,27,96,97,98,29,100,45],,[1,2,3,4,
5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,1,1,29,30,31,32,
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,
3,2,61,62,63,64,65,66,67,68,69,70,71,72,73,5,6,8,77,79,78,80,81,82,83,84,85,
86,9,13,89,90,91,92,93,94,15,96,98,97,99,19,101],,,,[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,
38,39,40,41,42,43,1,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,
64,65,66,67,68,69,70,71,72,73,74,75,76,4,79,78,80,81,82,83,84,85,86,87,88,89,
90,91,92,93,5,95,96,97,98,99,100,101],,[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,
42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,1,59,60,61,62,63,64,65,66,67,
68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,3,87,88,89,90,91,92,93,
94,95,96,5,5,99,100,101],,,,,,,,,,[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,
70,71,72,73,74,75,76,77,1,1,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,
96,98,97,99,100,101]],
[[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[276,20,12,-12,78,15,6,0,36,
4,4,-4,0,0,21,6,1,14,-6,5,14,-1,2,-3,0,0,10,3,4,-4,8,0,0,0,6,0,3,5,-3,2,0,5,
-2,1,6,-2,2,0,3,0,1,-2,1,-1,4,0,0,3,-2,-1,3,3,0,0,1,-2,2,2,2,-1,1,0,-1,1,1,0,
-1,0,0,-2,2,1,0,-1,0,-1,1,0,-1,-1,0,0,-1,1,0,0,0,0,-1,1,1],[299,43,-13,11,65,
20,2,-1,27,-5,11,3,-1,-1,14,9,-1,1,5,10,10,4,-2,2,-1,-1,5,5,-5,3,7,-1,3,-1,2,
-1,5,-2,2,-3,3,3,1,2,9,1,-3,0,0,-1,-2,2,2,0,4,-1,-1,0,1,1,5,0,-1,0,2,1,1,-2,1,
1,2,-1,1,2,-1,-1,0,0,0,1,1,-2,-1,0,0,0,-1,-1,1,0,-1,0,0,-1,0,0,0,0,0,-2,-1],[
1771,-21,51,11,286,16,-11,7,91,-5,-5,3,7,-1,41,1,-4,30,6,-6,21,0,-3,2,3,-1,14,
0,11,3,7,-1,-1,-1,7,-2,-2,9,1,1,-1,4,1,0,-2,-2,6,1,4,-2,-2,1,-2,0,1,1,-1,3,2,
0,-4,1,2,1,-1,1,1,3,0,0,1,-1,0,-1,2,0,0,0,0,2,-2,2,2,0,-1,-1,0,0,0,1,-2,-1,1,
0,-1,1,0,0,1,-1,-2],[8855,-105,15,55,935,35,-1,-7,231,7,-9,-1,-1,-5,85,0,5,39,
15,-15,39,3,3,1,-3,1,21,0,-1,7,11,3,-1,-1,8,2,-4,5,5,0,0,5,0,0,-9,7,-1,-3,3,
-1,1,3,-3,-1,1,-1,1,2,1,0,-5,0,-2,0,-1,1,1,0,0,0,1,0,1,-3,0,0,0,0,0,-1,-1,-1,
-1,1,-1,2,0,-1,-1,0,2,0,-1,0,1,0,-1,-1,-1,1,1],[17250,610,90,66,285,141,-30,0,
50,18,50,10,-6,6,0,25,0,-35,9,19,10,13,-2,3,0,0,-5,9,10,2,6,-2,6,2,-3,0,3,0,0,
5,5,0,1,2,5,-3,1,-4,5,3,3,2,-1,1,0,0,0,-1,-1,1,0,-5,0,1,0,0,0,1,-2,1,0,1,0,-2,
1,0,0,0,0,1,-3,1,-1,-1,0,-1,1,1,0,-1,0,-1,0,-1,0,-1,-1,-1,0,2,0],[27300,420,
156,132,1794,48,30,0,308,20,20,12,0,0,90,10,0,66,30,30,30,0,6,6,0,0,14,0,20,
12,8,0,0,0,3,0,6,10,6,6,0,0,2,-2,26,2,6,2,-4,0,2,2,2,0,2,0,0,0,2,0,9,4,0,-2,0,
2,-2,3,0,0,-2,0,0,2,-1,0,0,-1,-1,2,2,2,0,0,0,0,0,0,1,0,0,0,0,1,-1,-1,0,0,0,2,
1],[37674,42,-78,-54,2925,90,9,0,602,-6,-6,2,-6,6,189,9,-1,45,-15,0,81,-6,-3,
0,0,0,35,0,-14,-6,22,-2,-2,2,9,0,0,-3,-3,-3,-3,7,1,-1,5,-3,-7,-1,2,3,0,-3,0,2,
3,0,0,0,-1,0,0,0,0,0,-1,0,0,-3,0,0,-3,1,-1,-1,-1,0,1,0,0,1,1,-2,-1,0,1,0,0,1,
0,0,0,0,1,-1,0,-1,0,0,1,-1,0],[44275,755,-77,-77,2002,175,-5,1,307,-13,35,-13,
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ARC("Co1","CAS",[rec(name:="c1",
permchars:=(94,95),
permclasses:=(20,21)(30,31)(36,37)(39,40)(41,42)(52,55)(66,67)(90,91),
text:=[
"names:=c1; co1; .1; conway.1\n",
"    order:  2^21.3^9.5^4.7^2.11.13.23  =  4,157,776,806,543,360,000\n",
"    number  of  classes:  101\n",
"    source:private communication of compound table\n",
"           from cambridge group atlas project  1980/81\n",
"    origin:conway, j. - guy, m.\n",
"           -unpublished- \n",
""])]);
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--> --------------------

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Quelle ctoconja.tbl Sprache: unbekannt

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