Quelle  ctbtwis2.tbl   Sprache: unbekannt

#############################################################################
##
#W  ctbtwis2.tbl                GAP table library               Thomas Breuer
##
##  This file contains the Brauer character tables related to
##  the twisted group $^2E_6(2)$ of the ATLAS
##  (see file `ctotwis2.tbl'), modulo all prime divisors of the group order.
##
#H  ctbllib history
#H  ---------------
#H  $Log: ctbtwis2.tbl,v $
#H  Revision 4.7  2011/09/28 12:12:38  gap
#H  removed Revision entries and SET_TABLEFILENAME calls
#H      TB
#H
#H  Revision 4.6  2005/08/10 14:43:05  gap
#H  added known modular tables of 2^2.2E6(2)
#H      TB
#H
#H  Revision 4.5  2001/05/04 16:46:32  gap
#H  first revision for ctbllib
#H
#H
#H  tbl history (GAP 4)
#H  -------------------
#H  (Rev. 4.5 of ctbllib coincides with Rev. 4.4 of tbl in GAP 4)
#H  
#H  RCS file: /gap/CVS/GAP/4.0/tbl/ctbtwis2.tbl,v
#H  Working file: ctbtwis2.tbl
#H  head: 4.4
#H  branch:
#H  locks: strict
#H  access list:
#H  symbolic names:
#H   GAP4R2: 4.4.0.8
#H   GAP4R2PRE2: 4.4.0.6
#H   GAP4R2PRE1: 4.4.0.4
#H   GAP4R1: 4.4.0.2
#H  keyword substitution: kv
#H  total revisions: 5; selected revisions: 5
#H  description:
#H  ----------------------------
#H  revision 4.4
#H  date: 1999/07/20 08:20:00;  author: gap;  state: Exp;  lines: +10 -10
#H  adjusted ordering of characters in (recently corrected) tables of
#H  2.2E6(2).2mod19 and 2.2E6(2)mod19 to the ordering in the (newly
#H  created) Cambridge file
#H  
#H      TB
#H  ----------------------------
#H  revision 4.3
#H  date: 1999/03/25 12:29:35;  author: gap;  state: Exp;  lines: +6 -6
#H  corrected Brauer tree for 2.2E6(2).2 mod 19
#H  (computed by J"urgen M"uller)
#H  
#H      TB
#H  ----------------------------
#H  revision 4.2
#H  date: 1999/03/10 17:14:46;  author: gap;  state: Exp;  lines: +11 -9
#H  corrected faithful block of 2.2E6(2) mod 19
#H  (the correct table was computed by J"urgen M"uller)
#H  
#H      TB
#H  ----------------------------
#H  revision 4.1
#H  date: 1997/07/17 15:36:20;  author: fceller;  state: Exp;  lines: +2 -2
#H  for version 4
#H  ----------------------------
#H  revision 1.1
#H  date: 1996/10/21 15:58:47;  author: sam;  state: Exp;
#H  first proposal of the table library
#H  ==========================================================================
##

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

MBT("2E6(2).2",11,
TEXT1,
[1,1,2,2,3,4,5,6,7,8,9,9,10,11,12,13,14,15,16,17,18,2,2,1,1,19,20,21,22,23,24,
25,2,2,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,9,9,44,45,46,47,
48,49,50,51,52,53,54,55,56,57,58,59,60,9,9,61,62,63,64,65,1,1,2,2,66,67,68,69,
70,71,72,1,1,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,
94,95,96,97,98,99,100,101,9,9,102,103,104,105,106,107,108,109,110,111,112,113,
114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,
133,134,135,1,1,136,137,138,9,9,139,140,141,142,143,144,145,146,147,148,149,
150,151,152,153,154,155,156,157,2,2,158,159],
[1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0],
[],
[[[1,3],[2,4],[3,5],[4,6],[5,9],[6,10],[7,11],[8,11],[9,11],[10,11]],[[1,5],[
2,6],[3,9],[4,9],[5,7],[6,8],[7,10],[8,11],[9,10],[9,11]],,,,,,,[[1,3],[2,4],[
3,7],[4,8],[5,9],[6,9],[7,10],[8,11],[9,10],[9,11]]],
[],
0,
[( 82, 83)(177,178),( 69, 70)(166,167),(147,148)(175,176)(183,184)],
0);

MBT("2E6(2).2",13,
"origin: modular ATLAS of finite groups, tests: DEC",
[1,2,2,1,3,4,5,6,7,8,9,10,2,1,1,2,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,2,1,2,1,34,35,36,37,38,2,1,39,40,41,42,43,44,45,46,
47,1,2,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,
71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,2,1,94,
95,1,2,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,
114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,1,2,
132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,
151,152,153,154,155,156,157,158,1,2,159,160,161,162,163,164,165],
[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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0],
[],
[[[1,4],[2,3],[3,7],[4,8],[5,12],[6,12],[7,9],[8,10],[9,11],[10,12],[11,13],[
12,13]],1],
[],
0,
[( 82, 83)(178,179),( 70, 71)(168,169),(149,150)(176,177)(184,185)],
0,
rec(version:=1,
date:="26.07.93"));

MBT("2E6(2).2",17,
TEXT1,
[1,2,3,4,5,6,7,8,1,2,9,10,1,2,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,1,2,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,2,1,73,74,
75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,1,2,90,91,92,93,94,95,2,1,96,97,
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,
156,157,158,159,160,161,162,163,164,165,166,167,168,2,1,169,170,171],
[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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[],
[[[1,3],[2,5],[3,4],[4,6],[5,7],[6,8,9],[7,10],[8,9,10]],1],
[],
0,
[( 70, 71)(167,168),(148,149)(176,177)(182,183)],
0);

MBT("2E6(2).2",19,
TEXT1,
[1,1,2,3,1,1,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,1,1,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,1,1,1,1,1,1,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,
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,
74,75,76,77,78,1,1,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,
98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,1,1,
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,
155,156,157,158,159,160,161,162,1,1,163,164,165,166,167,168,169,170,171],
[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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[],
[[[1,3],[2,4],[3,7],[4,8],[5,13],[6,14],[7,15],[8,16],[9,17],[10,17],[11,17],[
12,17],[13,17],[14,17],[15,18],[16,19],[17,18],[17,19]]],
[],
0,
[( 83, 84)(179,180),( 70, 71)(168,169),(149,150)(177,178)(185,186)],
0);

MBT("2E6(2)",11,
TEXT1,
[1,2,3,4,5,6,7,8,9,10,11,12,2,1,13,14,15,16,17,2,18,19,20,21,22,23,24,25,26,
27,28,29,6,30,31,32,33,34,35,36,37,38,39,6,40,41,42,43,1,2,44,45,46,47,48,1,
49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,6,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,1,94,95,96,6,97,
98,99,100,101,102,103,104,105,106,107,2,108],
[1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[],
[[[1,2],[2,3],[3,5],[4,6,7],[5,6,7]],[[1,3],[2,5,6],[3,4],[4,7],[5,6,7]],,,,[[
1,2],[2,4],[3,5,6],[4,7],[5,6,7]]],
[],
0,
[(119,120),(101,102),(97,98),(95,96),(79,80),(59,60),( 12, 13)( 17, 18)
( 40, 41)( 44, 45)( 47, 48)( 63, 64)( 66, 67)( 74, 75)( 77, 78)( 87, 88)
( 90, 91)( 93, 94)(111,112)(114,115),( 11, 12)( 16, 17)( 39, 40)( 43, 44)
( 46, 47)( 62, 63)( 65, 66)( 73, 74)( 76, 77)( 86, 87)( 89, 90)( 92, 93)
(110,111)(113,114)],
0);

MBT("2E6(2)",13,
TEXT1,
[1,1,2,3,4,5,1,1,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,1,1,22,23,24,25,
1,26,27,28,29,30,31,1,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,
50,51,52,53,54,55,56,57,58,59,60,1,61,1,62,63,64,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,85,1,86,87,88,89,90,91,92,93,94,95,96,97,98,
99,100,101,102,103,104,105,106,107,108,109,1,110,111,112,113,114],
[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],
[],
[[[1,4],[2,3],[3,7],[4,8],[5,12],[6,12],[7,9],[8,10],[9,11],[10,12],[11,13],[
12,13]]],
[],
0,
[(124,125),(102,103),(98,99),(96,97),(81,82),(61,62),( 55, 56)(108,109)
(122,123),( 12, 13)( 17, 18)( 40, 41)( 44, 45)( 47, 48)( 65, 66)( 68, 69)
( 76, 77)( 79, 80)( 88, 89)( 91, 92)( 94, 95)(114,115)(117,118),( 11, 12)
( 16, 17)( 39, 40)( 43, 44)( 46, 47)( 64, 65)( 67, 68)( 75, 76)( 78, 79)
( 87, 88)( 90, 91)( 93, 94)(113,114)(116,117)],
0);

MBT("2E6(2)",17,
TEXT1,
[1,2,3,4,1,5,1,6,7,8,9,10,11,12,13,14,15,16,17,1,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,1,46,47,48,49,50,51,
52,53,54,55,56,57,58,1,59,60,61,1,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
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,
101,102,103,104,105,106,107,108,109,110,111,112,113,114,1,115,116,117],
[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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0],
[],
[[[1,3],[2,5],[3,4],[4,6],[5,7],[6,8,9],[7,10],[8,9,10]]],
[],
0,
[(123,124),(101,102),(97,98),(81,82),(61,62),( 55, 56)(107,108)(121,122),
( 12, 13)( 17, 18)( 40, 41)( 44, 45)( 47, 48)( 65, 66)( 68, 69)( 76, 77)
( 79, 80)( 89, 90)( 92, 93)( 95, 96)(113,114)(116,117),( 11, 12)( 16, 17)
( 39, 40)( 43, 44)( 46, 47)( 64, 65)( 67, 68)( 75, 76)( 78, 79)( 88, 89)
( 91, 92)( 94, 95)(112,113)(115,116)],
0);

MBT("2E6(2)",19,
TEXT1,
[1,2,1,3,4,5,6,7,8,9,10,11,1,12,13,14,15,16,17,18,19,20,21,1,1,1,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,1,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,1,
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,
101,102,103,104,105,106,107,108,109,110,1,111,112,113,114,115,116],
[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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0],
[],
[[[1,2],[2,4],[3,7],[4,8],[5,9,10],[6,9,10],[7,9,10],[8,11],[9,10,11]]],
[],
0,
[(123,124),( 99,100),(97,98),(81,82),(61,62),( 55, 56)(107,108)(121,122),
( 12, 13)( 17, 18)( 40, 41)( 44, 45)( 47, 48)( 65, 66)( 68, 69)( 76, 77)
( 79, 80)( 89, 90)( 92, 93)( 95, 96)(113,114)(116,117),( 11, 12)( 16, 17)
( 39, 40)( 43, 44)( 46, 47)( 64, 65)( 67, 68)( 75, 76)( 78, 79)( 88, 89)
( 91, 92)( 94, 95)(112,113)(115,116)],
0);

MBT("2.2E6(2).2",11,
"origin: modular ATLAS of finite groups, tests: DEC",
[160,160,161,161,162,162,163,164,160,160,165,166,167,168,169,170,162,162,171,
172,173,174,175,176,160,160,177,178,179,180,181,161,161,182,183,184,185,186,
187,162,162,160,160,188,189,190,191,192,193,194,195,196,197,160,160,161,161,
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MBT("2.2E6(2).2",13,
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MBT("2.2E6(2).2",17,
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MBT("2.2E6(2).2",19,
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MBT("2.2E6(2)",11,
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MBT("2.2E6(2)",13,
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MBT("2.2E6(2)",17,
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MBT("2.2E6(2)",19,
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MBT("2^2.2E6(2)",11,
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MBT("2^2.2E6(2)",13,
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],
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MBT("2^2.2E6(2)",17,
"constructed using `PossibleCharacterTablesOfTypeV4G'",
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219,220,221,222,223,224,225,226,227,228,185,229,230,231,232,233,234,235,236,
185,237,238,239,240,241,242,243,244,245,246,247,248,249,250,185,251,252,253,
254,255,256,257,252,258,259,260,261,262,263,264,265,266,267,268,269,252,270,
271,272,252,273,274,275,276,277,278,279,280,281,282,283,284,252,285,286,287,
288,289,290,291,292,293,294,295,252,296,297,298,299,300,301,302,303,252,304,
305,306,307,308,309,310,311,312,313,314,315,316,317,252,318],
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],
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MBT("2^2.2E6(2)",19,
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LIBTABLE.LOADSTATUS.ctbtwis2:="userloaded";

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