Quelle  ctomax18.tbl   Sprache: unbekannt

#############################################################################
##
#W  ctomax18.tbl                GAP table library               Thomas Breuer
##
##  This file contains ordinary character tables of subgroups
##  (which are neither ATLAS tables nor tables of Ostermann) of the Monster.
##
#H  ctbllib history
#H  ---------------
#H  $Log: ctomax18.tbl,v $
#H  Revision 4.11  2012/04/23 16:16:09  gap
#H  next step of consolidation:
#H
#H  - removed a few unnecessary duplicate tables,
#H    and changed some related fusions, names of maxes, table constructions
#H  - make sure that duplicate tables arise only via `ConstructPermuted'
#H    constructions
#H  - added some relative names
#H  - added fusions A11.2 -> A12.2, L2(11).2 -> A12.2, D8x2F4(2)'.2 -> B,
#H    L2(41) -> M, (A5xA12):2 -> A17,
#H  - added maxes of A12.2, L6(2), 2.M22.2
#H  - added table of QD16.2,
#H  - fixed the syntax of two `ALN' calls
#H      TB
#H
#H  Revision 4.10  2012/01/30 08:31:52  gap
#H  removed #H entries from the headers
#H      TB
#H
#H  Revision 4.9  2011/09/28 14:32:20  gap
#H  removed revision entry and SET_TABLEFILENAME call
#H      TB
#H
#H  Revision 4.8  2011/02/09 16:01:28  gap
#H  name 3^(1+12):2.Suz.2 for 3^(1+12).2.Suz.2 (used in AtlasRep)
#H      TB
#H
#H  Revision 4.7  2010/05/05 13:20:04  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 4.6  2010/01/19 17:05:32  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 4.5  2009/08/05 20:34:37  gap
#H  added table of (A7x(A5xA5):2^2):2
#H      TB
#H
#H  Revision 4.4  2009/08/05 18:02:45  gap
#H  added table of MM16
#H      TB
#H
#H  Revision 4.3  2009/05/13 16:12:23  gap
#H  added the table of MM32
#H      TB
#H
#H  Revision 4.2  2009/05/11 15:33:48  gap
#H  added some more tables of maximal subgroups of M
#H      TB
#H
#H  Revision 4.1  2009/04/29 14:38:54  gap
#H  added table of 3^(1+12).2.Suz.2 (< M) and related tables
#H  (contributed by Richard Barraclough)
#H      TB
#H
#H  ==========================================================================
##

MOT("3^(1+12):6.Suz.2",
[
"Computed by R. W. Barraclough"
],
[8577690465241497600,4288845232620748800,6136740545760,43639043880960,
16140437913600,8070218956800,40310784,9674588160,4837294080,51018336,
783641640960,391820820480,181398528,1049760,629856,277136640,11547360,
4288845232620748800,4288845232620748800,4288845232620748800,3068370272880,
21819521940480,170061120,382637520,128566206720,257132413440,170061120,
170061120,191318760,128566206720,128566206720,128566206720,8503056,1417176,
8503056,708588,38263752,459165024,918330048,4251528,8503056,708588,354294,
8503056,19131876,459165024,459165024,459165024,13122,1574640,3149280,2419200,
1451520,2903040,829440,1658880,67184640,134369280,559872,497664,248832,20736,
11664,46656,1119744,2239488,11664,7776,373248,32400,64800,7290,437400,874800,
7290,8070218956800,8070218956800,8070218956800,176359680,352719360,176359680,
176359680,176359680,20155392,4837294080,4837294080,4837294080,25509168,
391820820480,391820820480,391820820480,90699264,1259712,629856,629856,629856,
629856,46656,559872,1119744,104976,69984,10077696,5038848,69984,69984,52488,
5038848,5038848,5038848,46656,46656,559872,559872,559872,19440,38880,11664,
26244,629856,629856,629856,11664,26244,629856,629856,629856,8748,104976,629856
,629856,629856,8748,104976,629856,629856,629856,8748,104976,629856,629856,
629856,11664,26244,629856,629856,629856,8748,17496,52488,629856,1259712,11664,
11664,139968,69984,8748,4374,26244,629856,629856,629856,5832,11664,11664,69984
,69984,69984,972,972,972,972,2916,5832,162,1296,1512,3024,92160,92160,3072,
2592,5184,1728,13824,1728,13824,1344,1728,3456,20736,10368,864,2304,1152,3456,
432,432,3456,288,2304,432,432,2592,5184,729,1458,1458,8748,8748,8748,729,1458,
1458,8748,8748,8748,729,1458,1458,8748,8748,8748,32400,64800,5400,10800,1440,
720,720,1440,90,90,360,1782,3564,594,297,594,1451520,1451520,1451520,829440,
829440,829440,67184640,67184640,67184640,279936,10368,248832,248832,248832,
5832,1119744,1119744,1119744,23328,4320,3888,93312,46656,10368,5184,3888,3888,
46656,46656,46656,5184,5184,5184,1944,1944,11664,23328,2592,1296,1944,972,1944
,11664,11664,11664,1296,1296,1296,324,2592,648,648,3888,7776,216,1296,1296,
1296,144,216,432,324,648,648,3888,3888,3888,216,1296,1296,1296,216,1296,1296,
1296,108,324,648,234,234,234,1512,3024,32400,32400,32400,3645,437400,437400,
437400,3645,405,405,4860,2430,270,270,270,405,405,405,405,2430,2430,2430,96,48
,96,48,972,972,972,972,972,972,972,972,972,162,972,972,972,162,972,972,972,162
,972,972,972,162,972,972,972,162,972,972,972,162,972,972,972,1200,1200,720,360
,360,720,200,200,180,360,1512,1512,1512,378,378,378,378,378,378,378,378,378,
396,198,66,132,132,66,2592,2592,2592,576,1728,1728,1728,576,432,10368,10368,
10368,1152,1152,1152,432,432,432,432,432,432,432,432,432,144,144,216,216,2592,
2592,2592,96,216,216,216,144,72,72,144,72,144,72,144,24,234,234,234,252,504,28
,32400,32400,32400,5400,5400,5400,720,720,720,720,720,720,540,270,270,270,270,
270,270,270,1782,1782,1782,297,297,297,297,234,234,234,234,234,234,80,80,80,80
,1512,1512,1512,378,378,378,378,378,378,378,378,378,56,56,360,360,360,360,360,
360,60,180,180,180,60,198,198,198,234,234,234,234,234,234,252,252,252],
[,[1,2,3,4,1,2,4,1,2,3,1,2,4,4,3,1,3,18,19,20,21,22,23,24,25,26,27,28,29,30,31
,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,5,6,5,9,8,9,8,7,8
,9,7,10,13,12,11,10,13,11,70,71,72,73,74,75,18,19,20,25,26,31,32,30,22,18,20,
19,21,18,19,20,22,39,38,46,48,47,23,25,26,24,23,26,25,27,28,29,31,32,30,27,28,
30,32,31,50,51,41,45,46,48,47,44,45,46,47,48,34,35,38,38,39,42,41,48,46,47,42,
44,46,48,47,35,37,38,39,38,36,34,37,38,39,33,35,39,38,42,43,45,47,48,46,40,41,
44,46,47,48,33,36,34,36,37,39,49,51,177,178,56,56,56,53,54,59,58,59,58,54,55,
56,60,61,62,60,61,66,63,63,66,59,58,63,63,65,66,206,207,208,209,210,211,212,
213,214,215,216,217,218,219,220,221,222,223,70,71,73,74,71,70,70,71,72,75,74,
235,236,239,238,237,76,77,78,85,86,87,87,86,85,84,84,85,87,86,88,89,91,90,92,
80,98,100,99,100,99,112,111,115,114,113,115,113,114,153,154,156,155,155,156,
165,163,164,166,167,168,167,168,166,101,103,102,101,104,103,164,167,166,168,
117,116,117,107,106,105,110,108,109,165,167,166,168,154,155,156,156,149,150,
152,318,319,320,177,178,323,324,325,326,327,328,329,330,331,332,333,334,335,
336,337,339,338,340,341,342,343,344,191,193,191,193,222,223,221,210,211,209,
216,217,215,207,209,211,210,220,223,222,221,214,215,217,216,219,222,221,223,
213,215,217,216,208,210,209,211,227,227,228,229,229,228,225,225,226,227,392,
393,394,395,396,397,398,399,400,401,402,403,236,235,237,236,236,239,240,242,
241,263,243,245,244,263,250,251,253,252,252,253,251,264,264,263,272,270,271,
271,270,272,277,277,254,254,256,257,255,263,300,299,299,293,291,291,293,273,
276,273,276,300,318,319,320,321,322,322,323,325,324,329,328,327,325,323,324,
324,323,325,333,334,336,337,335,344,342,343,480,481,482,485,484,483,486,487,
488,489,490,491,492,384,384,384,384,392,394,393,398,399,400,403,401,402,395,
396,397,458,458,469,470,471,470,471,469,472,464,465,463,472,481,482,480,487,
488,489,492,490,491,499,497,498],[1,1,1,1,5,5,8,8,8,11,11,11,11,16,16,16,16,1,
1,1,1,1,2,1,1,1,2,2,1,1,1,1,1,3,2,3,1,1,1,1,2,3,3,2,1,1,1,1,3,1,1,52,54,54,56,
56,58,58,58,60,60,60,66,66,66,66,69,69,69,71,71,74,74,74,74,5,5,5,5,5,5,5,5,8,
8,8,8,11,11,11,11,11,5,5,5,5,5,9,8,8,11,12,11,11,12,12,11,11,11,11,9,9,8,8,8,5
,5,9,8,8,8,8,9,8,8,8,8,10,12,11,11,11,10,12,11,11,11,10,12,11,11,11,9,8,8,8,8,
10,10,11,11,11,8,9,8,8,10,10,11,11,11,11,8,9,9,8,8,8,16,15,15,15,16,16,15,16,
178,178,179,180,181,183,183,185,185,187,187,188,190,190,191,191,191,194,194,
196,196,199,199,201,201,205,205,205,205,41,45,41,46,46,46,41,45,41,46,46,46,41
,45,41,46,46,46,225,225,227,227,228,228,231,231,234,234,234,236,236,236,236,
236,54,54,54,56,56,56,58,58,58,58,60,60,60,60,66,66,66,66,66,52,57,58,58,56,56
,57,57,58,58,58,56,56,56,58,57,58,58,56,56,57,58,57,58,58,58,56,56,56,69,69,65
,66,66,66,61,60,60,60,52,54,54,66,65,65,66,66,66,61,60,60,60,61,60,60,60,67,69
,69,318,318,318,322,322,71,71,71,74,74,74,74,74,73,74,74,74,71,71,71,74,74,73,
73,74,74,74,345,345,347,347,95,95,95,95,95,95,95,95,95,124,125,125,125,134,136
,136,136,134,136,136,136,124,125,125,125,124,125,125,125,134,136,136,136,382,
383,384,384,387,387,388,389,391,391,178,178,178,178,178,178,178,178,178,178,
178,178,404,404,407,407,408,408,183,183,183,180,190,190,190,179,191,191,191,
191,194,194,194,190,190,190,190,190,190,190,190,190,180,179,205,205,205,205,
205,181,183,183,183,199,199,196,196,187,187,185,185,188,454,454,454,458,458,
459,225,225,225,227,227,227,231,231,231,228,228,228,227,227,225,225,225,227,
227,227,236,236,236,236,236,236,236,318,318,318,318,318,318,493,494,495,496,
322,322,322,322,322,322,322,322,322,322,322,322,509,510,384,384,384,387,387,
387,382,391,391,391,383,404,404,404,454,454,454,454,454,454,458,458,458],,[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,
57,58,59,60,61,62,63,64,65,66,67,68,69,2,1,3,2,1,4,76,77,78,79,80,81,82,83,84,
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,
165,166,167,168,169,170,171,172,173,174,175,176,177,178,180,179,181,182,183,
186,187,184,185,188,189,190,191,192,193,194,195,199,198,197,196,200,201,203,
202,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,
222,223,6,5,6,5,8,9,12,11,17,14,16,235,236,237,238,239,240,241,242,243,244,245
,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,
322,19,18,20,21,18,19,20,22,23,24,26,25,51,50,50,29,29,28,27,30,31,32,347,348,
345,346,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,
366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,52,52,56,55,57
,58,52,52,53,54,392,393,394,397,396,395,401,403,402,398,400,399,404,405,406,
407,408,409,410,411,412,417,414,415,416,413,418,419,420,421,422,423,424,425,
426,427,428,429,430,431,432,433,435,434,437,436,438,439,440,441,442,443,444,
448,447,446,445,451,452,449,450,453,454,455,456,457,458,459,77,78,76,78,77,76,
91,90,89,85,87,86,80,79,116,116,117,82,83,81,480,481,482,483,486,485,484,487,
488,489,490,491,492,180,179,180,179,497,498,499,504,503,505,501,500,502,508,
507,506,509,510,243,245,244,246,247,248,259,241,240,242,259,522,523,524,525,
526,527,528,529,530,531,532,533],,[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,
173,174,175,176,2,1,180,179,181,182,183,186,187,184,185,188,189,190,191,192,
193,194,195,199,198,197,196,200,201,203,202,204,205,206,207,208,209,210,211,
212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,
231,232,233,234,235,236,239,238,237,240,241,242,243,244,245,246,247,248,249,
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,
307,308,309,310,311,312,313,314,315,316,317,318,320,319,6,5,323,324,325,326,
327,328,329,330,331,332,333,334,335,337,336,339,338,340,341,342,343,344,347,
348,345,346,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,
365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,
384,385,386,387,388,389,390,391,20,19,18,25,26,25,31,32,30,31,30,32,404,405,
409,408,407,406,410,411,412,417,414,415,416,413,418,419,420,421,422,423,424,
426,425,427,433,432,431,430,429,428,435,434,437,436,438,439,440,441,442,443,
444,448,447,446,445,451,452,449,450,453,454,456,455,53,54,52,460,461,462,463,
464,465,466,467,468,469,470,471,472,473,475,474,476,477,478,479,480,481,482,
485,486,483,484,490,492,491,487,489,488,496,495,494,493,78,76,77,81,82,83,82,
81,83,79,80,79,188,188,511,512,513,514,515,516,517,518,519,520,521,522,523,524
,529,528,530,526,525,527,241,242,240],,,,[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,
191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,
210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,
229,230,231,232,233,234,2,1,3,4,3,240,241,242,243,244,245,246,247,248,249,250,
251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,
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384,385,386,387,389,388,390,391,392,393,394,395,396,397,398,399,400,401,402,
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--> --------------------

--> maximum size reached

--> --------------------