|
#############################################################################
##
#W ctbmathi.tbl GAP table library Thomas Breuer
##
## This file contains the Brauer character tables related to the
## Mathieu groups of the ATLAS (see file 'ctomathi.tbl') moduo all prime
## divisors of the group order.
##
#H ctbllib history
#H ---------------
#H $Log: ctbmathi.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 16:45:10 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/ctbmathi.tbl,v
#H Working file: ctbmathi.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: 4; selected revisions: 4
#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 15:35:27; author: fceller; state: Exp; lines: +2 -2
#H for version 4
#H ----------------------------
#H revision 1.2
#H date: 1997/04/04 17:14:25; author: sam; state: Exp; lines: +6 -7
#H removed last occurrency of 'CharTable' in the files,
#H fixed a typo
#H ----------------------------
#H revision 1.1
#H date: 1996/10/21 15:58:33; author: sam; state: Exp;
#H first proposal of the table library
#H ==========================================================================
##
TEXT1:= "origin: modular ATLAS of finite groups, tests: DEC, TENS";
MBT("12.M22.2",11,
TEXT1,
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[1,1],
[],
[[[3,7],[4,7],[1,3],[2,4],[5,6,7]],[[5,6,7],[1,5,6],[2,5,6],[3,7],[4,7]]],
[],
[["M22.2",0],["2.M22.2",0],["4.M22.2",0],["3.M22.2",24],["6.M22.2",8]],
[(52,53)(55,56)(58,59)(61,62)(63,64)(65,66)(67,68),(32,39)(33,40)(34,41)
(35,42)(36,43)(37,44)(38,45)(46,49)(47,48)(50,51)(65,67)(66,68)],
0);
MBT("12.M22.2",5,
TEXT1,
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[0,0,0,0,1,1],
[],
[,,,,[[4,5],[1,4],[2,4],[3,5]],5],
[],
[["M22.2",0],["2.M22.2",0],["4.M22.2",0],["3.M22.2",24],["6.M22.2",8]],
[( 2, 6)(26,30)(33,37)(40,43)(41,44)(46,50)(47,55)(49,53)(52,56),(57,58)
(60,61)(63,64)(66,67)(68,69)(70,71),(25,32)(26,33)(27,34)(28,35)(29,36)(30,37)
(31,38)(39,42)(40,41)(43,44)(68,70)(69,71)],
0,
rec(version:=1,
date:="06.04.92"));
MBT("12.M22.2",7,
TEXT1,
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[],
[[[1,5],[2,5],[3,4,5]],1],
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[(59,60),(50,51)(53,54)(56,57)(61,62),(32,35)(33,34)(36,37),( 2, 6)(22,26)
(33,36)(34,37)(39,43)(40,48)(42,46)(45,49)],
0,
rec(version:=1,
date:="21.04.92"));
MBT("12.M22",11,
"origin: modular ATLAS of finite groups, tests: DEC, TENS\n\
Note: The faithful characters are sorted according to blocks,\n\
not all Galois conjugates exist, the blocks behave completely\n\
different! (no adequate ATLAS notation)",
[34,37,34,37,34,37,34,37,34,37,35,36,35,36,35,36,35,36,35,36],
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[],
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[(50,62)(51,63)(52,64)(53,65)(54,66)(55,67)(56,68)(57,69)(58,70)(59,71)(60,72)
(61,73)(74,80)(75,81)(76,82)(77,83)(78,84)(79,85),( 2,12)( 3,11)( 4,10)( 5, 9)
( 6, 8)(14,18)(15,17)(20,22)(24,28)(25,27)(30,31)(33,43)(34,42)(35,41)(36,40)
(37,39)(45,49)(46,48)(51,61)(52,60)(53,59)(54,58)(55,57)(63,73)(64,72)(65,71)
(66,70)(67,69)(74,83)(75,82)(76,81)(77,80)(78,79)(84,85)],
0);
MBT("12.M22",5,
TEXT1,
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[(38,50)(39,51)(40,52)(41,53)(42,54)(43,55)(44,56)(45,57)(46,58)(47,59)(48,60)
(49,61)(62,68)(63,69)(64,70)(65,71)(66,72)(67,73),( 2, 6)( 3,11)( 5, 9)( 8,12)
(14,18)(15,17)(24,28)(25,27)(30,31)(33,37)(34,36)(39,43)(40,48)(42,46)(45,49)
(51,55)(52,60)(54,58)(57,61)(63,67)(64,72)(66,70)(69,73)(75,79)(76,84)(78,82)
(81,85)(87,91)(88,96)(90,94)(93,97),( 2, 8)( 4,10)( 6,12)(20,22)(39,45)(41,47)
(43,49)(51,57)(53,59)(55,61)(62,71)(63,66)(64,73)(65,68)(67,70)(69,72)(74,86)
(75,93)(76,88)(77,95)(78,90)(79,97)(80,92)(81,87)(82,94)(83,89)(84,96)
(85,91)],
0,
rec(version:=0,
date:="00.00.00"));
MBT("12.M22",7,
TEXT1,
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(14,18)(15,17)(24,28)(25,27)(30,31)(33,37)(34,42)(36,40)(39,43)(45,49)(46,48)
(51,55)(52,60)(54,58)(57,61)(63,67)(64,72)(66,70)(69,73)(75,79)(76,84)(78,82)
(81,85),( 2, 8)( 4,10)( 6,12)(20,22)(33,39)(35,41)(37,43)(50,53)(51,60)(52,55)
(54,57)(56,59)(58,61)(62,74)(63,81)(64,76)(65,83)(66,78)(67,85)(68,80)(69,75)
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0);
MBT("2.M12.2",11,
TEXT1,
[12,12,12,12,12,12,12,12,13,12,12,14],
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[],
[[[1,11],[2,11],[3,11],[4,11],[5,10],[6,9],[7,11],[8,11],[9,11],[10,11]]],
[],
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[(16,17)(22,23)(27,28),(16,17)(20,21)(29,30)(31,32)],
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MBT("2.M12.2",3,
TEXT1,
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[],
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[(19,20),(15,16)(17,18),( 9,10)(15,16)],
0);
MBT("2.M12.2",5,
TEXT1,
[11,12,13,14,15,15,15,15,16,17,18,19],
[0,0,0,0,1,0,0,0,0],
[],
[,,,,[[1,5],[2,5],[3,5],[4,5]]],
[],
[["M12.2",0]],
[(26,28)(27,29),(14,15)(21,22)(24,25),(19,20)(21,22)(24,25)(26,27)(28,29)],
0);
MBT("2.M12",11,
TEXT1,
[10,10,10,10,11,12,10,13,14],
[1,0,0,0,0],
[],
[[[1,6,7],[2,6,7],[3,5],[4,6,7],[5,6,7]]],
[],
[["M12",0]],
[(21,22),(17,18)(19,20),(10,11)(17,19)(18,20)],
0);
MBT("2.M12",3,
TEXT1,
[4,4,4,4,4,4,4,4],
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[],
[[[0,0,0,0,-1,0,-1,1],[0,0,1,0,1,0,1,-1],[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[
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[["M12",0]],
[(10,11)(12,13)(14,15)(16,18)(17,19),( 6, 7)(10,12)(11,13)(14,15)(16,18)
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0);
MBT("2.M12",5,
TEXT1,
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[0,0,1,0,0,0,0,0],
[],
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MBT("2.M22.2",11,
TEXT1,
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[],
[[[1,10],[2,11],[3,10],[4,11],[5,7],[6,8],[7,10],[8,11],[9,10],[9,11]]],
[],
[["M22.2",0]],
[(14,16)(15,17)(32,34)(33,35),(19,20)(22,23)(25,26)(28,29)(30,31)(32,33)
(34,35)],
0);
MBT("2.M22.2",3,
TEXT1,
[10,10,10,10,10,10,11,12,13,10,12,11],
[2,1,1,0],
[[22,23,24,25,26,27,31]],
[,[[1,3],[2,3]],2],
[[[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,
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[["M22.2",0]],
[(24,25),(10,12)(11,13)(26,28)(27,29),(17,18)(20,21)(26,27)(28,29)],
0);
MBT("2.M22.2",5,
TEXT1,
[14,15,16,17,18,19,20,18,21,22,23,24,25,26],
[0,0,0,0,1,0,0,0,0,0,0,0,0],
[],
[,,,,[[1,2,4],[3,4]]],
[],
[["M22.2",0]],
[(12,14)(13,15)(30,32)(31,33),(19,20)(22,23)(25,26)(28,29)(30,31)(32,33)],
0);
MBT("2.M22.2",7,
TEXT1,
[14,15,16,17,15,14,18,19,20,21,14,15],
[1,1,0,0,0,0,0,0],
[],
[[[1,2,4],[3,5],[4,5]],1],
[],
[["M22.2",0]],
[(26,27),(17,18)(20,21)(23,24)(28,29)],
0);
MBT("2.M22",11,
TEXT1,
[7,7,7,7,7,8,9,10,11],
[1,0,0,0,0],
[],
[[[1,7],[2,7],[3,4],[4,7],[5,6,7]]],
[],
[["M22",0]],
[(18,19),(14,16)(15,17)],
0);
MBT("2.M22",3,
TEXT1,
[6,6,6,7,8,9,6,6,7],
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[,[[1,3],[2,3]]],
[[[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1]]],
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MBT("2.M22",5,
TEXT1,
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[0,0,1,0,0,0,0],
[],
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[["M22",0]],
[(16,17)(18,20)(19,21),(12,14)(13,15)],
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MBT("2.M22",7,
TEXT1,
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[],
[[[1,2,4],[3,5],[4,5]]],
[],
[["M22",0]],
[(14,15),(16,18)(17,19)],
0);
MBT("3.M22.2",11,
TEXT1,
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[],
[[[1,4,5],[2,7],[3,7],[4,5,7],[6,7]]],
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[(14,16)(15,17)(28,29)],
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MBT("3.M22.2",2,
TEXT1,
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[],
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[["M22.2",0]],
[( 6, 8)( 7, 9)],
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rec(version:=1,
date:="01.06.94"));
MBT("3.M22.2",5,
TEXT1,
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MBT("3.M22.2",7,
TEXT1,
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[,[[1,2,4],[3,5],[4,5]]],
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MBT("3.M22",11,
TEXT1,
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0);
MBT("3.M22",2,
TEXT1,
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rec(version:=1,
date:="01.06.94"));
MBT("3.M22",5,
TEXT1,
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MBT("3.M22",7,
TEXT1,
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MBT("4.M22.2",11,
TEXT1,
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0);
MBT("4.M22.2",3,
TEXT1,
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[2,0,0],
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[],
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MBT("4.M22.2",5,
TEXT1,
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rec(version:=1,
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MBT("4.M22.2",7,
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rec(version:=1,
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MBT("4.M22",11,
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MBT("4.M22",3,
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[],
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0);
MBT("4.M22",7,
TEXT1,
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[],
[["M22",0],["2.M22",0]],
[(20,22)(21,23),( 2, 4)( 8,10)(15,17)(20,21)(22,23)(24,28)(25,31)(26,30)
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0);
MBT("6.M22.2",11,
TEXT1,
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LIBTABLE.LOADSTATUS.ctbmathi:="userloaded";
#############################################################################
##
#E
[ Dauer der Verarbeitung: 0.7 Sekunden
(vorverarbeitet)
]
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