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Quellcodebibliothek Statistik Leitseite products/Sources/formale Sprachen/GAP/pkg/ctbllib/data/   (Algebra von RWTH Aachen Version 4.15.1©)  Datei vom 1.2.2023 mit Größe 162 kB image not shown  

Quelle  ctoline9.tbl   Sprache: unbekannt

 
#############################################################################
##
#W  ctoline9.tbl                GAP table library               Thomas Breuer
##
##  This file contains the ordinary character tables of $L_8(2)$ and
##  $L_3(11)$.
##
#H  ctbllib history
#H  ---------------
#H  $Log: ctoline9.tbl,v $
#H  Revision 1.8  2012/01/30 08:31:45  gap
#H  removed #H entries from the headers
#H      TB
#H
#H  Revision 1.7  2011/09/28 14:32:14  gap
#H  removed revision entry and SET_TABLEFILENAME call
#H      TB
#H
#H  Revision 1.6  2010/05/05 13:20:03  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 1.5  2009/04/22 12:39:03  gap
#H  added missing maxes of He.2, ON.2, HN.2, Fi24, and B
#H      TB
#H
#H  Revision 1.4  2003/05/15 17:38:06  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 1.3  2003/03/27 16:25:08  gap
#H  added character table of L3(11) (computed by Frank using the
#H  Hemkemeier/J"urgens program) and its fusion into the table of marks
#H      TB
#H
#H  Revision 1.2  2003/01/22 12:30:26  gap
#H  exchanged two `ARC' calls (should not be necessary but ...)
#H      TB
#H
#H  Revision 1.1  2003/01/15 07:32:44  gap
#H  added the table of L8(2), kindly provided bz F. L"ubeck,
#H  computed with a program of B. Hemkemeier and U. J"urgens
#H      TB
#H
##

MOT("L8(2)",
[
"origin: program of B. Hemkemeier and U. J\"urgens for the construction\n",
"of GL(n,q) character tables,\n",
"independently computed by M. R. Darafsheh, M. Khademi, K. Azizi,\n",
"and M. H. Jafari"
],
[5348063769211699200,165140150353920,126835752960,2113929216,1321205760,
60476129280,2961100800,3628800,1088640,40957378560,88080384,41287680,6291456,
2359296,786432,393216,196608,32768,24576,302400,61200,30965760,552960,442368,
362880,258048,241920,46080,34560,17280,3456,2304,1152,1152,69995520,69995520,
21168,21168,294,172032,8192,4096,3072,1024,256,128,378,189,2880,1440,240,
129024,6144,4608,2880,2304,2304,1440,768,288,192,192,96,96,150528,150528,10752
,10752,7056,7056,336,336,112,112,98,302400,302400,61200,61200,2700,2700,2700,
270,270,270,225,225,225,255,255,126,240,120,10584,10584,3528,3528,1260,1260,
378,378,189,189,147,192,96,2688,2688,896,896,224,224,2880,2880,1440,1440,240,
240,180,180,180,90,90,90,5208,5208,5208,5208,5208,5208,105,105,168,168,168,168
,126,126,84,84,255,255,255,255,112,112,240,240,120,120,248,248,248,248,248,248
,378,378,378,378,378,378,189,189,189,189,189,189,84,84,255,255,255,255,255,255
,255,255,93,93,93,93,93,93,105,105,105,105,124,124,124,124,124,124,126,126,126
,126,126,126,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,
127,127,217,217,217,217,217,217,217,217,217,217,217,217,255,255,255,255,255,
255,255,255,255,255,255,255,255,255,255,255],
[,[1,1,1,1,1,6,7,8,9,2,2,3,2,3,3,3,3,4,5,20,21,6,7,6,9,6,8,7,8,8,9,8,8,9,35,36
,37,38,39,11,11,13,14,14,18,19,47,48,20,20,21,22,22,24,29,24,23,30,24,31,29,28
,30,31,35,36,35,36,37,38,37,38,37,38,39,76,77,78,79,80,81,82,83,84,85,86,87,88
,89,90,47,49,50,94,95,96,97,98,99,100,101,102,103,104,53,54,65,66,65,66,67,68,
76,77,76,77,78,79,80,81,82,83,84,85,125,126,127,128,129,130,131,132,96,97,94,
95,100,101,98,99,141,142,143,144,109,110,113,114,115,116,125,126,127,128,129,
130,157,158,159,160,161,162,163,164,165,166,167,168,133,134,171,172,173,174,
175,176,177,178,179,180,181,182,183,184,185,186,187,188,151,152,153,154,155,
156,157,158,159,160,161,162,201,202,203,204,205,206,207,208,209,210,211,212,
213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,
232,233,234,235,236,237,238,239,240,241,242,243,244,245,246],[1,2,3,4,5,1,1,1,
1,10,11,12,13,14,15,16,17,18,19,20,21,2,3,3,2,4,3,5,2,3,3,4,5,4,36,35,38,37,39
,40,41,42,43,44,45,46,9,9,49,50,51,10,11,14,10,12,14,12,16,14,13,19,17,15,66,
65,68,67,70,69,72,71,74,73,75,20,20,21,21,20,20,20,20,20,20,21,21,21,90,89,25,
92,93,38,37,36,35,36,35,37,38,37,38,39,40,43,108,107,110,109,112,111,49,49,50,
50,51,51,50,50,50,49,49,49,126,127,128,129,130,125,132,131,66,65,72,71,69,70,
68,67,89,90,89,90,146,145,92,92,93,93,152,153,154,155,156,151,100,101,100,101,
100,101,100,101,100,101,100,101,108,107,172,173,174,175,176,177,178,171,126,
127,128,129,130,125,132,132,131,131,190,191,192,193,194,189,137,138,137,138,
137,138,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,
201,226,227,230,229,225,228,220,221,224,223,219,222,171,174,172,177,177,174,
178,178,176,171,173,175,173,176,172,175],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15
,16,17,18,19,1,1,22,23,24,25,26,27,28,29,30,31,32,33,34,36,35,38,37,39,40,41,
42,43,44,45,46,47,48,2,3,5,52,53,54,55,56,57,58,59,60,61,62,63,64,66,65,68,67,
70,69,72,71,74,73,75,8,8,7,7,8,7,7,6,9,9,7,8,8,90,89,91,10,12,95,94,97,96,99,
98,101,100,103,102,104,105,106,108,107,110,109,112,111,29,29,30,30,28,28,27,23
,23,22,25,25,127,128,129,130,125,126,36,35,134,133,136,135,138,137,140,139,142
,143,144,141,146,145,55,55,58,58,153,154,155,156,151,152,158,159,160,161,162,
157,164,165,166,167,168,163,170,169,89,90,89,90,89,90,89,90,181,182,183,184,
179,180,99,99,98,98,191,192,193,194,189,190,196,197,198,199,200,195,216,217,
218,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,227,230,228,
225,226,229,221,224,222,219,220,223,141,142,144,141,143,144,142,144,144,143,
143,141,141,142,142,143],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,29,30,31,32,33,34,1,1,1,1,1,40,41,42,43,44,45,46,47,48
,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,2,2,3,3,2,2,4,4,5,5,2,77,76,
79,78,80,82,81,83,85,84,86,88,87,90,89,91,92,93,6,6,6,6,8,8,9,9,7,7,6,105,106,
10,10,11,11,12,12,114,113,116,115,118,117,119,121,120,122,124,123,129,130,125,
126,127,128,20,20,22,22,26,26,25,25,27,27,142,143,144,141,40,40,148,147,150,
149,155,156,151,152,153,154,47,47,47,47,47,47,48,48,48,48,48,48,52,52,174,175,
176,177,178,171,172,173,183,184,179,180,181,182,77,76,77,76,193,194,189,190,
191,192,91,91,91,91,91,91,208,209,210,211,212,213,214,215,216,217,218,201,202,
203,204,205,206,207,129,130,125,127,128,126,129,130,125,127,128,126,232,235,
242,245,233,234,241,243,231,236,239,237,244,240,246,238],,,,,,,,,,[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
,34,36,35,38,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59
,60,61,62,63,64,66,65,68,67,70,69,72,71,74,73,75,76,77,78,79,80,81,82,83,84,85
,86,87,88,1,1,91,92,93,95,94,97,96,99,98,101,100,103,102,104,105,106,108,107,
110,109,112,111,113,114,115,116,117,118,119,120,121,122,123,124,126,127,128,
129,130,125,132,131,134,133,136,135,138,137,140,139,7,7,7,7,146,145,147,148,
149,150,152,153,154,155,156,151,158,159,160,161,162,157,164,165,166,167,168,
163,170,169,21,21,21,21,21,21,21,21,180,181,182,183,184,179,187,188,185,186,
190,191,192,193,194,189,196,197,198,199,200,195,203,204,205,206,207,208,209,
210,211,212,213,214,215,216,217,218,201,202,226,227,230,229,225,228,220,221,
224,223,219,222,78,79,79,79,78,78,79,78,79,79,78,78,79,78,78,79],,,,,,,,,,,,,,
[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
,30,31,32,33,34,36,35,38,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55
,56,57,58,59,60,61,62,63,64,66,65,68,67,70,69,72,71,74,73,75,76,77,78,79,80,81
,82,83,84,85,86,87,88,90,89,91,92,93,95,94,97,96,99,98,101,100,103,102,104,105
,106,108,107,110,109,112,111,113,114,115,116,117,118,119,120,121,122,123,124,1
,1,1,1,1,1,132,131,134,133,136,135,138,137,140,139,144,141,142,143,146,145,147
,148,149,150,2,2,2,2,2,2,160,161,162,157,158,159,166,167,168,163,164,165,170,
169,178,171,172,173,174,175,176,177,6,6,6,6,6,6,187,188,185,186,10,10,10,10,10
,10,198,199,200,195,196,197,211,212,213,214,215,216,217,218,201,202,203,204,
205,206,207,208,209,210,36,36,36,36,36,36,35,35,35,35,35,35,238,243,240,239,
244,241,234,235,246,237,245,236,233,242,231,232],,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[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
,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,76,79,78,80,82,81,83,85,84
,86,88,87,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108
,109,110,111,112,114,113,116,115,118,117,119,121,120,122,124,123,126,127,128,
129,130,125,131,132,133,134,135,136,137,138,139,140,143,144,141,142,145,146,
148,147,150,149,152,153,154,155,156,151,157,158,159,160,161,162,163,164,165,
166,167,168,169,170,175,176,177,178,171,172,173,174,180,181,182,183,184,179,
186,185,188,187,190,191,192,193,194,189,195,196,197,198,199,200,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,220,221,224,223,219,222,226,227,230,229,225,228,246,238,
244,241,243,237,236,232,245,242,234,240,235,233,239,231]],
[[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,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
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,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[254,126,62,30,14,62,-1,14,2,62,30,30,14,14,6,14,6,
6,2,14,-1,30,-1,14,0,6,14,-1,6,2,2,6,2,0,30,30,2,2,2,14,6,2,6,2,2,0,2,-1,6,2,
-1,14,6,2,2,6,-1,0,2,2,2,-1,0,0,14,14,6,6,0,0,2,2,0,0,0,14,14,-1,-1,-1,-1,-1,2
,2,2,-1,-1,-1,-1,-1,0,2,0,-1,-1,6,6,0,0,2,2,-1,-1,-1,2,0,6,6,2,2,2,2,6,6,2,2,
-1,-1,-1,-1,-1,0,0,0,6,6,6,6,6,6,0,0,2,2,-1,-1,0,0,0,0,-1,-1,-1,-1,0,0,2,2,0,0
,2,2,2,2,2,2,2,2,2,2,2,2,-1,-1,-1,-1,-1,-1,0,0,-1,-1,-1,-1,-1,-1,-1,-1,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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
],[10540,2604,684,236,140,589,85,25,19,620,172,140,76,44,28,44,28,12,4,20,0,
141,21,45,21,29,21,5,9,9,3,5,5,5,124,124,-2,-2,-2,28,12,4,4,4,0,0,-2,1,4,4,0,
29,13,5,5,5,5,5,5,-1,1,1,1,1,28,28,12,12,0,0,-2,-2,0,0,0,20,20,0,0,5,5,5,-1,-1
,-1,0,0,0,0,0,0,0,0,1,1,1,1,4,4,-2,-2,1,1,1,1,1,4,4,4,4,0,0,4,4,4,4,0,0,1,1,1,
1,1,1,0,0,0,0,0,0,-1,-1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,
-2,-2,-2,-2,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,-1,0,0,0,0,0,
0,0,0,0,0,0,0,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10795,2603,555,43,-85,652,85,
40,22,619,107,139,-21,11,-21,11,-21,-5,-5,35,0,140,21,12,20,-20,36,5,8,0,6,4,
-4,4,155,155,1,1,1,27,-5,-5,3,-5,-1,-1,1,1,3,-5,0,28,-4,-4,4,4,5,4,-4,2,0,1,0,
0,27,27,-5,-5,-1,-1,1,1,-1,-1,-1,35,35,0,0,5,5,5,2,2,2,0,0,0,0,0,-1,-1,-1,1,1,
8,8,5,5,1,1,1,1,1,0,0,3,3,-5,-5,-1,-1,3,3,-5,-5,0,0,1,1,1,0,0,0,7,7,7,7,7,7,0,
0,0,0,1,1,-1,-1,1,1,0,0,0,0,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,1,1,1,1,1,1,
1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0],[21336,5208,1240,280,56,1239,-84,51,-21,1240,280,280,
56,56,8,56,8,8,0,56,1,279,-20,55,-21,7,55,-4,3,-5,-5,7,-1,-5,280,280,0,0,0,56,
8,0,8,0,0,0,0,0,8,0,1,55,7,-1,-5,7,-4,-5,-1,-1,-1,0,-1,-1,56,56,8,8,0,0,0,0,0,
0,0,56,56,1,1,-4,-4,-4,-1,-1,-1,1,1,1,1,1,0,0,0,0,0,7,7,-5,-5,0,0,0,0,0,-1,-1,
8,8,0,0,0,0,8,8,0,0,1,1,0,0,0,-1,-1,-1,8,8,8,8,8,8,0,0,-1,-1,0,0,0,0,-1,-1,1,1
,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,-1,-1,1,1,1,1,1,1,1,1,-1,
-1,-1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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--> --------------------

--> maximum size reached

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

[ Dauer der Verarbeitung: 0.21 Sekunden  (vorverarbeitet)  ]