Quelle  ctborth1.tbl   Sprache: unbekannt

#############################################################################
##
#W  ctborth1.tbl                GAP table library               Thomas Breuer
##
##  This file contains the Brauer character tables related to the
##  orthogonal group $O_7(3)$ (see file 'ctoorth1.tbl'),
##  modulo all prime diviors of the group order.
##
#H  ctbllib history
#H  ---------------
#H  $Log: ctborth1.tbl,v $
#H  Revision 4.4  2011/09/28 12:12:37  gap
#H  removed Revision entries and SET_TABLEFILENAME calls
#H      TB
#H
#H  Revision 4.3  2001/05/04 16:46:03  gap
#H  first revision for ctbllib
#H
#H
#H  tbl history (GAP 4)
#H  -------------------
#H  (Rev. 4.3 of ctbllib coincides with Rev. 4.2 of tbl in GAP 4)
#H  
#H  RCS file: /gap/CVS/GAP/4.0/tbl/ctborth1.tbl,v
#H  Working file: ctborth1.tbl
#H  head: 4.2
#H  branch:
#H  locks: strict
#H  access list:
#H  symbolic names:
#H   GAP4R2: 4.2.0.8
#H   GAP4R2PRE2: 4.2.0.6
#H   GAP4R2PRE1: 4.2.0.4
#H   GAP4R1: 4.2.0.2
#H  keyword substitution: kv
#H  total revisions: 3; selected revisions: 3
#H  description:
#H  ----------------------------
#H  revision 4.2
#H  date: 1999/07/14 11:39:37;  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 15:35:36;  author: fceller;  state: Exp;  lines: +2 -2
#H  for version 4
#H  ----------------------------
#H  revision 1.1
#H  date: 1996/10/21 15:58:37;  author: sam;  state: Exp;
#H  first proposal of the table library
#H  ==========================================================================
##

TEXT1:= "origin: modular ATLAS of finite groups, tests: DEC, TENS";

MBT("2.O7(3).2",13,
"origin: modular ATLAS of finite groups",
[85,86,87,88,89,90,91,92,93,94,87,95,96,97,98,99,87,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,117,118,119,120],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[],
[,,[[1,2],[2,3],[3,4,5,6,7]]],
[],
[["O7(3).2",0]],
[( 64, 65)(125,127)(126,128),( 76, 77)( 78, 79)( 95, 96)( 98, 99)(102,103)
(104,105)(106,107)(108,109)(110,111)(116,117)(121,122)(123,124)(125,126)
(127,128)(129,130)(131,132),( 71, 72)( 98, 99)(129,130)],
0,
rec(version:=3,
date:="30.06.92"));

MBT("2.O7(3).2",3,
TEXT1,
[4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4],
[9],
[[99,100,101,102,103,105,106,107,108,117,118,119,120,127,128,131,132,133]],
[],
[[[0,-1,1,0,0,-2,0,-1,-1,0,0,1,0,-1,0,0,0,1],[1,2,0,-1,-1,2,0,1,1,1,1,1,2,0,
-1,-1,-1,-1],[0,-4,2,0,1,-5,1,-1,-3,-1,0,1,-1,-2,1,0,1,2],[0,4,0,-1,-2,5,-1,1,
3,2,1,1,3,1,-2,-1,-2,-2],[0,0,0,0,0,0,1,1,0,-1,0,0,-1,0,1,0,0,0],[0,0,0,0,0,1,
0,0,1,0,-1,-1,0,1,0,0,0,0],[0,-1,-1,1,2,-2,1,0,0,-1,-1,-1,-3,0,1,1,1,1],[1,2,
-2,1,0,3,0,2,2,0,0,-2,0,1,0,0,0,-1],[-1,-2,-2,2,2,-1,0,0,-1,-2,-1,-3,-4,1,2,2,
2,0],[-2,-1,-2,2,2,0,-1,-1,0,-1,-2,-4,-3,2,1,2,2,0],[0,4,-3,0,-1,6,-1,1,3,1,0,
-1,1,3,-1,0,-1,-3],[-2,-6,0,2,3,-7,0,-3,-5,-3,-2,-2,-4,-1,3,2,3,3],[0,-4,0,0,
2,-6,2,-1,-4,-2,0,1,-4,-2,2,1,2,2],[0,4,-2,0,-2,6,-2,0,3,2,0,-2,3,2,-2,0,-1,
-2],[-1,-2,1,-1,0,-2,-1,-2,-1,1,-1,1,1,0,-1,0,0,1],[0,1,0,-1,-2,1,0,1,0,0,2,2,
2,-1,0,-1,-1,-1],[-1,-1,2,-2,-2,-1,-1,-1,-2,1,1,3,2,-1,0,-1,-1,0],[-1,-1,2,-2,
-2,-1,-1,-2,-1,1,1,2,3,0,-1,-1,-1,0]]],
[["O7(3).2",0]],
[(31,32)(33,34)(38,39)(41,42)(45,46)(47,48)(49,50)(51,52)(53,54)],
0,
rec(version:=2,
date:="02.03.94"));

MBT("2.O7(3).2",5,
"origin: modular ATLAS of finite groups",
[59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,62,63,64,77,78,79,80,
81,82,83,84,85,86,87,88,89,90,91],
[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[],
[,,,[[1,4],[2,3,4]],4,[[1,2],[2,3,4]]],
[],
[["O7(3).2",0]],
[(115,116)(117,118),( 60, 62)( 61, 63)(115,117,116,118),( 72, 73)( 74, 75)
( 91, 92)( 94, 95)( 96, 97)( 98, 99)(100,101)(102,103)(108,109)(113,114)
(119,120)(121,122)(123,124),( 64, 65)(119,121)(120,122)],
0,
rec(version:=1,
date:="06.07.92"));

MBT("2.O7(3).2",7,
"origin: modular ATLAS of finite groups",
[83,84,85,86,87,88,84,83,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,
105,83,84,106,107,108,109,110,111,112,113,114,115,116],
[1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[],
[[[1,3],[2,4,5],[3,4,5]],1],
[],
[["O7(3).2",0]],
[(125,126)(127,128),( 62, 64)( 63, 65)(125,127,126,128),( 76, 77)( 78, 79)
( 95, 96)( 98, 99)(102,103)(104,105)(106,107)(108,109)(110,111)(116,117)
(121,122)(123,124)(129,130)(131,132),( 71, 72)( 98, 99)(129,130)],
0,
rec(version:=1,
date:="01.07.92"));

MBT("2.O7(3)",13,
"origin: modular ATLAS of finite groups",
[52,53,53,54,55,56,57,58,53,53,59,60,61,62,53,53,63,64,65,66,67,68,69,70,71,
72,73,74],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[],
[,[[1,3],[2,4],[3,5],[4,6],[5,7,8],[6,7,8]]],
[],
[["O7(3)",0]],
[(83,84),(78,79),(74,75),(12,14)(13,15)(39,41)(40,42)(43,44)(45,46)(56,58)
(57,59)(69,71)(70,72)(80,81)],
0,
rec(version:=1,
date:="30.06.92"));

MBT("2.O7(3)",3,
TEXT1,
[3,3,3,3,3,3,3,3,3],
[9],
[[59,60,62,65,66,74,75,82,84]],
[],
[[[1,1,-1,0,0,1,2,-1,-1],[0,2,-1,0,0,1,2,-1,-1],[0,0,0,1,1,-1,-1,1,0],[1,-3,2,
1,2,-1,-3,1,1],[-3,-4,4,-1,-1,-3,-7,3,4],[-2,-3,2,-1,-2,-2,-3,2,2],[0,-2,0,0,
-1,0,-1,0,1],[-1,1,-2,-1,-1,1,3,-1,-1],[-2,4,-4,-2,-3,2,5,-1,-2]]],
[["O7(3)",0]],
[],
0,
rec(version:=2,
date:="02.03.94"));

MBT("2.O7(3)",5,
"origin: modular ATLAS of finite groups",
[39,40,41,42,43,43,44,45,46,47,48,49,50,51,52,42,43,43,53,54,55,56,57,58,59,
60,61],
[0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[],
[,,,[[1,4],[2,3,4]],[[1,3],[2,4],[3,5],[4,5]]],
[],
[["O7(3)",0]],
[(78,79),(76,77),(74,75),(70,72)(71,73),(12,14)(13,15)(37,39)(38,40)(41,42)
(43,44)(54,56)(55,57)(65,67)(66,68)],
0,
rec(version:=1,
date:="06.07.92"));

MBT("2.O7(3)",7,
"origin: modular ATLAS of finite groups",
[47,48,49,50,51,52,47,53,54,55,56,57,58,59,60,61,62,63,64,65,47,66,67,68,69,
70,71,72],
[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],
[],
[[[1,3],[2,4,5],[3,4,5]]],
[],
[["O7(3)",0]],
[(83,84),(80,81),(78,79),(72,74)(73,75),(12,14)(13,15)(39,41)(40,42)(43,44)
(45,46)(54,56)(55,57)(67,69)(68,70)],
0,
rec(version:=1,
date:="01.07.92"));

MBT("3.O7(3).2",13,
"origin: modular ATLAS of finite groups",
[85,86,87,85,85,85,88,89,90,91,92,93,94,95,85,96,97,98,99,100,101,102,103,104,
105,106,107,85,108,109,110,111],
[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],
[],
[[[1,3],[2,4],[4,7],[3,5,6],[5,6,8],[7,8]]],
[],
[["O7(3).2",0]],
[(123,124)],
0,
rec(version:=3,
date:="30.06.92"));

MBT("3.O7(3).2",2,
TEXT1,
[6,6,7,6,6,6,6,7],
[9,3],
[[99,100,105,106,113,116],[103,130]],
[],
[[[1,0,0,0,0,0],[-1,1,0,0,0,0],[0,-1,0,1,0,0],[0,1,0,1,1,-1],[-1,-1,-1,-1,0,
1],[-1,0,1,0,0,0]],[[1,0],[-1,1]]],
[["O7(3).2",0]],
[(18,20)(19,21)],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
rec(version:=3,
date:="18.05.92"));

MBT("3.O7(3).2",5,
"origin: modular ATLAS of finite groups",
[59,60,61,62,62,62,63,62,59,63,60,61,64,63,65,61,60,66,67,59,68,69,70,71,72,
63,59,60,61],
[1,1,1,1,1,0,0,0,0,0,0,0,0,0],
[],
[[[1,3],[2,4],[3,5],[4,5]],[[1,2],[2,4],[3,5],[4,5]],2,[[1,3],[4,5],[2,4],[3,
5]],[[1,4],[2,3],[3,5],[4,5]]],
[],
[["O7(3).2",0]],
[( 65, 67)( 66, 68)(113,114),(115,116)],
0,
rec(version:=1,
date:="06.07.92"));

MBT("3.O7(3).2",7,
"origin: modular ATLAS of finite groups",
[83,83,84,85,84,84,83,86,87,88,84,83,89,90,84,91,92,93,94,83,95,96,97,98,99,
100,83,101,84,102,103,104],
[1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[],
[[[1,2],[2,5],[3,4],[4,6],[5,7],[6,7]],[[1,2],[2,4],[4,5],[3,6],[5,7],[6,7]]],
[],
[["O7(3).2",0]],
[( 69, 71)( 70, 72)(123,124)],
0,
rec(version:=2,
date:="01.07.92"));

MBT("3.O7(3)",13,
"origin: modular ATLAS of finite groups",
[52,53,54,55,56,57,52,53,52,53,52,53,58,59,60,61,62,63,64,65,66,67,68,69,70,
71,72,73,52,53,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
95,96,97,52,53,98,99,100,101,102,103,104,105],
[1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[],
[[[1,3],[2,4],[4,7],[3,5,6],[5,6,8],[7,8]],1],
[],
[["O7(3)",0]],
[(18,19)(60,61)(62,63)(78,79)(97,98),(  2,  3)(  5,  6)(  8,  9)( 11, 12)
( 15, 16)( 23, 24)( 26, 27)( 29, 30)( 32, 33)( 35, 36)( 38, 39)( 41, 42)
( 45, 46)( 49, 50)( 53, 54)( 56, 57)( 66, 67)( 69, 70)( 72, 73)( 75, 76)
( 81, 82)( 84, 85)( 89, 90)( 92, 93)( 95, 96)(100,101)(103,104)(106,107)
(108,111)(109,113)(110,112)(116,117)(119,120)],
0,
rec(version:=1,
date:="30.06.92"));

MBT("3.O7(3)",2,
TEXT1,
[6,7,6,7,8,9,6,7,6,7,6,7,6,7,8,9],
[9,9,3,3],
[[59,61,71,73,87,93],[60,62,72,74,88,94],[67,121],[68,122]],
[],
[[[1,0,0,0,0,0],[-1,1,0,0,0,0],[0,-1,0,1,0,0],[0,1,0,1,1,-1],[-1,-1,-1,-1,0,
1],[-1,0,1,0,0,0]],1,[[1,0],[-1,1]],3],
[["O7(3)",0]],
[( 9,10)(23,24),(25,28)(26,29)(27,30),( 2, 3)( 6, 7)(14,15)(17,18)(20,21)
(26,27)(29,30)(32,33)],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
rec(version:=3,
date:="18.05.92"));

MBT("3.O7(3)",5,
"origin: modular ATLAS of finite groups",
[39,40,41,42,43,44,45,46,45,46,45,46,47,48,45,46,39,40,47,48,41,42,43,44,49,
50,47,48,51,52,43,44,41,42,53,54,55,56,39,40,57,58,59,60,61,62,63,64,65,66,47,
48,39,40,41,42,43,44],
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[],
[[[1,3],[2,4],[3,5],[4,5]],1,[[1,2],[2,4],[3,5],[4,5]],3,3,3,[[1,3],[4,5],[2,
4],[3,5]],7,[[1,4],[2,3],[3,5],[4,5]],9],
[],
[["O7(3)",0]],
[(18,19)(57,58)(59,60)(75,76)(88,89),(93,96)(94,97)(95,98),(  2,  3)(  5,  6)
(  8,  9)( 11, 12)( 15, 16)( 23, 24)( 26, 27)( 29, 30)( 32, 33)( 35, 36)
( 38, 39)( 42, 43)( 46, 47)( 50, 51)( 53, 54)( 63, 64)( 66, 67)( 69, 70)
( 72, 73)( 80, 81)( 83, 84)( 86, 87)( 91, 92)( 94, 95)( 97, 98)(100,101)
(102,105)(103,107)(104,106)(110,111)],
0,
rec(version:=1,
date:="06.07.92"));

MBT("3.O7(3)",7,
"origin: modular ATLAS of finite groups",
[47,48,47,48,49,50,51,52,49,50,49,50,47,48,53,54,55,56,57,58,49,50,47,48,59,
60,61,62,49,50,63,64,65,66,67,68,69,70,47,48,71,72,73,74,75,76,77,78,79,80,81,
82,47,48,83,84,49,50,85,86,87,88,89,90],
[1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0],
[],
[[[1,2],[2,5],[3,4],[4,6],[5,7],[6,7]],1,[[1,2],[2,4],[4,5],[3,6],[5,7],[6,
7]],3],
[],
[["O7(3)",0]],
[(18,19)(60,61)(62,63)(75,76)(94,95),( 99,102)(100,103)(101,104),(  2,  3)
(  5,  6)(  8,  9)( 11, 12)( 15, 16)( 23, 24)( 26, 27)( 29, 30)( 32, 33)
( 35, 36)( 38, 39)( 41, 42)( 45, 46)( 49, 50)( 53, 54)( 56, 57)( 66, 67)
( 69, 70)( 72, 73)( 78, 79)( 81, 82)( 86, 87)( 89, 90)( 92, 93)( 97, 98)
(100,101)(103,104)(106,107)(108,111)(109,113)(110,112)(116,117)(119,120)],
0,
rec(version:=2,
date:="01.07.92"));

MBT("6.O7(3).2",13,
"origin: modular ATLAS of finite groups",
[148,148,148,148,149,148,150,151,152,148],
[1,0,0,0,0],
[],
[[[1,5],[2,3,8],[2,3,4],[4,6],[5,6],[7,8]]],
[],
[["O7(3).2",0],["2.O7(3).2",0],["3.O7(3).2",42]],
[( 97,100)( 98, 99)(167,169)(168,170),(118,119)(120,121)(137,138)(140,141)
(144,145)(146,147)(148,149)(150,151)(152,153)(158,159)(163,164)(165,166)
(167,168)(169,170)(171,172)(173,174)],
0,
rec(version:=3,
date:="30.06.92"));

MBT("6.O7(3).2",5,
"origin: modular ATLAS of finite groups",
[106,107,107,107,107,108,109,106,110],
[1,1,0,0,0],
[],
[[[1,3,4],[2,3,4]],[[3,4],[3,5],[1,4],[2,5]]],
[],
[["O7(3).2",0],["2.O7(3).2",0],["3.O7(3).2",42]],
[(153,154)(155,156),(110,111)(112,113)(129,130)(132,133)(134,135)(136,137)
(138,139)(140,141)(146,147)(151,152)(157,158)(159,160)(161,162),( 89, 93)
( 90, 94)( 91, 95)( 92, 96)( 97,100)( 98, 99)(153,155,154,156)(157,159)
(158,160)],
0,
rec(version:=1,
date:="06.07.92"));

MBT("6.O7(3).2",7,
"origin: modular ATLAS of finite groups",
[139,142,140,141,142,143,144,142,145,146],
[0,0,0,1,0,0,0,0],
[],
[,,,[[2,5],[1,2],[3,4,5]]],
[],
[["O7(3).2",0],["2.O7(3).2",0],["3.O7(3).2",42]],
[(167,168)(169,170),( 93, 97)( 94, 98)( 95, 99)( 96,100)(167,169,168,170),
(118,119)(120,121)(137,138)(140,141)(144,145)(146,147)(148,149)(150,151)
(152,153)(158,159)(163,164)(165,166)(171,172)(173,174),(111,114)(112,113)
(140,141)(171,172)],
0,
rec(version:=2,
date:="01.07.92"));

MBT("6.O7(3)",13,
"origin: modular ATLAS of finite groups",
[129,130,129,130,129,130,129,130,131,132,129,130,133,134,135,136,137,138,129,
130],
[1,1,0,0,0,0,0,0,0,0],
[],
[[[1,5],[2,3,8],[2,3,4],[4,6],[5,6],[7,8]],1],
[],
[["O7(3)",0],["2.O7(3)",0],["3.O7(3)",30]],
[( 26, 28)( 27, 29)( 79, 81)( 80, 82)( 83, 84)( 85, 86)(110,112)(111,113)
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MBT("6.O7(3)",5,
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MBT("6.O7(3)",7,
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MBT("O7(3).2",13,
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MBT("O7(3).2",2,
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MBT("O7(3).2",3,
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MBT("O7(3).2",5,
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MBT("O7(3).2",7,
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MBT("O7(3)",13,
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MBT("O7(3)",2,
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MBT("O7(3)",3,
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MBT("O7(3)",5,
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MBT("O7(3)",7,
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0,
rec(version:=1,
date:="01.07.92"));

LIBTABLE.LOADSTATUS.ctborth1:="userloaded";

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