Spracherkennung für: .tbl vermutete Sprache: Unknown {[0] [0] [0]} [Methode: Schwerpunktbildung, einfache Gewichte, sechs Dimensionen]
#############################################################################
##
#W ctomax23.tbl GAP table library Thomas Breuer
##
## This file contains the ordinary character tables of $F_4(2)M5$,
## $2.F_4(2)M5$, $F_4(2)M13$, and $F_4(2)M14$.
##
MOT("[2^20]:(S3xL3(2))",
[
"5th maximal subgroup of F4(2),\n",
"constructed as a factor of the table of 2.F4(2)M5"
],
[1056964608,352321536,150994944,50331648,37748736,12582912,9437184,6291456,
6291456,3145728,3145728,3145728,262144,786432,262144,196608,3145728,3145728,
524288,524288,524288,262144,98304,65536,393216,262144,196608,196608,262144,
131072,131072,196608,98304,98304,196608,65536,65536,49152,65536,65536,32768,
24576,32768,16384,16384,16384,8192,16384,12288,8192,8192,32256,4608,4608,1536,
1152,2752512,393216,393216,131072,98304,2752512,393216,393216,131072,98304,
49152,49152,49152,49152,24576,8192,8192,6144,4096,8192,4096,4096,4096,1536,
1536,786432,786432,262144,262144,131072,131072,98304,65536,32768,16384,8192,
4608,576,393216,196608,196608,131072,98304,98304,65536,65536,65536,49152,32768
,32768,32768,32768,32768,32768,65536,16384,16384,16384,16384,16384,16384,16384
,16384,16384,32768,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384
,32768,8192,8192,8192,8192,8192,8192,8192,8192,8192,8192,8192,16384,16384,8192
,8192,8192,16384,8192,16384,8192,8192,8192,8192,8192,16384,8192,16384,16384,
8192,8192,8192,8192,8192,8192,8192,8192,8192,16384,6144,6144,4096,4096,4096,
4096,8192,4096,4096,8192,8192,8192,8192,4096,8192,2048,2048,2048,2048,2048,
4096,4096,4096,4096,4096,4096,4096,4096,4096,2048,2048,2048,2048,2048,2048,
2048,2048,2048,2048,2048,1024,2048,2048,2048,2048,2048,2048,2048,1024,1024,
1024,1024,1024,1024,1024,1024,1024,1024,1024,4608,1536,1536,1152,1152,768,768,
576,576,576,384,384,384,384,384,384,384,192,192,192,192,192,192,168,168,2048,
1536,1536,1024,2048,512,512,512,1024,1024,512,512,512,512,1024,512,512,512,512
,512,512,512,512,512,1024,512,1024,1024,512,512,512,512,512,256,512,512,512,
256,256,256,512,256,512,512,512,512,256,256,256,128,128,128,256,256,128,128,
128,384,384,384,384,192,192,192,192,192,192,192,192,192,192,96,96,96,96,96,96,
96,96,96,96,48,48,48,48,48,48,48,56,56,28,28,64,64,64,64,21,21,48,48,48,48,28,
28],
[,[1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,5,4,4,5,5,4,4
,5,2,4,7,3,4,6,5,6,4,7,7,6,52,52,52,52,52,1,1,1,1,1,2,2,2,2,2,12,12,12,12,18,
12,12,17,21,18,20,21,20,27,28,1,1,1,1,1,1,1,1,1,1,1,93,94,3,3,3,3,6,6,3,3,3,6,
8,8,5,5,6,6,3,6,6,8,6,4,9,9,6,6,8,9,9,8,8,12,12,12,12,18,18,8,3,20,20,20,20,20
,20,20,20,4,2,5,8,9,8,4,2,12,6,12,12,11,12,10,6,17,18,18,17,20,20,20,20,20,20,
20,20,3,83,82,6,6,12,12,12,19,20,10,4,8,11,9,12,82,13,20,20,22,19,9,20,10,11,
12,11,8,10,12,12,20,20,20,20,20,20,22,83,13,86,19,19,18,20,21,21,17,87,86,86,
87,87,83,86,87,85,84,82,93,93,93,93,93,93,93,94,94,94,93,93,52,93,52,93,93,93,
93,52,93,93,93,253,254,37,96,97,41,37,15,45,45,37,37,26,29,27,28,37,30,31,102,
103,117,117,102,103,30,41,31,41,41,14,97,96,118,118,108,41,118,118,121,36,106,
41,106,117,117,45,45,35,121,107,183,50,180,112,112,156,154,42,232,53,53,232,55
,232,231,231,232,232,55,232,53,232,240,240,55,231,240,240,239,239,237,237,242,
238,246,241,244,238,238,253,254,253,254,259,255,269,269,351,352,315,314,313,
312,344,343],[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,
51,1,3,5,6,7,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78
,79,80,81,82,83,84,85,86,87,88,89,90,91,92,1,1,95,96,97,98,99,100,101,102,103,
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,
218,219,220,221,222,223,224,225,226,227,228,229,3,4,2,5,7,8,9,5,7,3,12,17,82,
10,83,11,18,23,61,88,58,59,57,254,253,255,256,257,258,259,260,261,262,263,264,
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,
303,304,305,306,307,308,309,310,311,28,96,97,27,100,64,33,34,63,62,99,25,95,66
,69,70,104,38,68,67,14,16,35,32,172,42,71,74,171,49,49,344,343,346,345,347,348
,350,349,254,253,80,257,256,81,358,357],,,,[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,
228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,
247,248,249,250,251,252,1,1,255,256,257,258,259,260,261,262,263,264,265,266,
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,
305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,
324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,2,
2,57,57,347,348,350,349,52,52,353,354,355,356,62,62]],
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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,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
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],[3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
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0,0,0,-1,0,-1,0,0,0,0,-1,0,0,0,E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,-1,1,1,
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1,1,-1,1,1,1,-1,1,-1,1,1,1,-1,-1,-1,1,1,1,-1,1,1,1,1,1,-1,0,-1,-1,0,-1,0,0,0,0
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^5+E(7)^6,E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,1,1,1,1,E(7)+E(7)^2+E(7)^4,E
(7)^3+E(7)^5+E(7)^6,0,1,1,0,E(7)^3+E(7)^5+E(7)^6,E(7)+E(7)^2+E(7)^4],
[GALOIS,[2,3]],[6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
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[TENSOR,[2,7]],
[TENSOR,[3,7]],
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,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-336,-48,-48,-80,-48,336,48,-48,-
80,48,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,96,-96,32,32,0,0,0,0,-32,0,0,0,0,-96,0,0,
32,0,0,0,32,32,0,0,0,0,0,32,32,0,0,0,0,0,0,0,0,-32,0,0,16,16,-16,-16,16,16,-16
,-16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-16,16,0,0,0,0,-16,16,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
],[8064,-2688,-1152,-384,0,0,0,-384,384,-384,0,0,0,0,0,0,192,192,-64,-64,-64,
64,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-192,-192,64,-64,0,-128,0,-64,0,0,0
,0,0,0,0,0,0,0,0,64,0,0,0,0,0,32,32,0,0,0,0,0,0,-32,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-16,-16,16,-16,-16,16,16,-16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0]],]);
ALF("[2^20]:(S3xL3(2))","L3(2)xS3",[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,6,7,
8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,
6,4,6,4,4,4,4,4,4,4,4,6,6,4,4,6,6,4,4,4,4,6,6,4,4,4,4,6,6,6,6,6,6,6,6,6,6,
6,6,4,10,10,6,6,4,4,4,6,6,4,4,4,4,4,4,10,6,4,4,4,6,4,6,4,4,4,4,4,4,6,6,4,
4,6,6,6,6,4,10,6,12,6,6,6,6,6,6,6,10,10,12,12,12,12,10,10,12,12,12,7,7,7,
7,7,7,7,8,8,8,7,7,5,7,5,7,7,7,9,5,9,9,9,13,16,4,10,10,6,4,6,6,6,4,4,4,4,6,
6,4,4,4,10,10,10,10,12,12,6,6,6,6,6,6,12,12,12,12,12,6,10,10,10,6,10,6,12,
12,12,6,6,6,12,12,12,6,10,12,12,10,12,6,7,5,5,7,5,9,7,7,9,9,5,7,5,9,9,9,5,
7,9,9,8,8,8,8,11,8,9,9,11,8,8,13,16,15,18,12,12,12,12,14,17,9,11,11,9,18,
15]);
ALF("[2^20]:(S3xL3(2))","F4(2)",[1,2,3,4,2,4,5,3,4,5,5,4,5,10,12,16,4,2,5,
4,5,5,5,5,11,11,11,9,9,12,10,15,14,13,9,11,17,19,15,15,17,20,16,18,17,15,
19,21,22,23,21,6,27,25,31,33,2,4,5,5,5,11,11,11,11,9,19,13,14,19,11,18,21,
19,20,15,19,23,21,40,42,3,4,5,5,4,5,5,5,5,5,5,7,8,12,12,10,12,13,14,12,12,
10,18,16,12,9,11,13,14,10,17,19,12,17,17,17,17,18,19,10,17,17,12,10,19,19,
14,13,15,11,16,16,19,21,18,13,21,18,14,19,17,15,15,16,17,16,19,15,18,21,
18,21,20,18,20,21,17,15,9,17,19,14,18,21,13,19,21,18,16,18,12,21,18,17,18,
21,20,19,23,21,16,23,18,21,16,20,19,21,23,23,21,21,22,23,21,22,16,23,21,
19,21,18,21,18,17,19,20,18,23,18,22,23,15,21,23,22,21,20,18,17,22,23,21,
21,23,23,22,16,26,32,28,28,34,26,32,29,35,30,32,32,27,34,31,34,28,34,34,
33,32,34,28,36,36,38,41,43,38,39,41,38,45,44,45,40,42,40,42,46,41,43,41,
43,44,38,41,43,41,39,43,44,44,43,43,41,38,44,40,45,44,39,43,40,41,46,41,
39,44,39,45,42,43,42,48,48,48,44,46,47,47,47,55,62,54,63,60,63,61,59,63,
63,58,63,62,55,61,65,64,65,59,65,57,67,56,66,62,68,63,65,64,69,70,72,72,
72,72,77,76,78,79,86,86,89,90,88,91,92,92],[
"fusion map is unique up to table automorphisms"
]);
MOT("2.F4(2)M5",
[
"computed using Magma V2.23-4 Thu Oct 19 2017 17:21:28 on schedir\n",
"[Seed = 3681173513]\n",
"Total time: 475.949 seconds, Total memory usage: 150.62MB"
],
[2113929216,2113929216,704643072,704643072,301989888,301989888,100663296,
100663296,75497472,75497472,25165824,25165824,18874368,18874368,12582912,
12582912,12582912,12582912,6291456,6291456,6291456,6291456,6291456,6291456,
524288,524288,786432,524288,524288,196608,6291456,6291456,6291456,6291456,
1048576,1048576,1048576,1048576,1048576,1048576,524288,524288,196608,196608,
131072,131072,786432,786432,524288,524288,393216,393216,393216,393216,262144,
262144,262144,262144,262144,196608,196608,196608,196608,196608,196608,131072,
131072,131072,131072,98304,98304,65536,65536,65536,65536,49152,49152,32768,
32768,32768,32768,32768,16384,16384,16384,16384,12288,8192,8192,64512,64512,
9216,9216,9216,9216,3072,3072,2304,2304,5505024,5505024,786432,786432,786432,
786432,262144,262144,196608,196608,5505024,5505024,786432,786432,786432,786432
,262144,262144,196608,196608,98304,98304,98304,98304,98304,98304,98304,98304,
49152,49152,16384,16384,16384,16384,12288,12288,8192,8192,8192,8192,8192,4096,
4096,3072,3072,3072,3072,1572864,1572864,1572864,1572864,524288,524288,524288,
524288,262144,262144,262144,262144,196608,196608,131072,131072,65536,65536,
32768,32768,16384,16384,9216,9216,1152,1152,786432,786432,393216,393216,393216
,393216,262144,262144,196608,196608,196608,196608,131072,131072,131072,131072,
131072,131072,98304,98304,65536,65536,65536,65536,65536,65536,65536,65536,
65536,65536,65536,65536,65536,32768,32768,32768,32768,32768,32768,32768,32768,
32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,
32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,
32768,32768,32768,32768,32768,32768,16384,16384,16384,16384,16384,16384,16384,
16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,
16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,
16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,
16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,
16384,16384,16384,16384,16384,16384,16384,16384,16384,12288,12288,12288,12288,
8192,8192,8192,8192,8192,8192,8192,8192,8192,8192,8192,8192,8192,8192,8192,
8192,8192,8192,8192,8192,4096,4096,4096,4096,4096,4096,4096,4096,4096,4096,
4096,4096,4096,4096,4096,4096,4096,4096,4096,4096,4096,4096,4096,4096,4096,
4096,4096,4096,4096,4096,4096,4096,4096,4096,4096,4096,4096,4096,4096,4096,
4096,2048,2048,2048,2048,2048,2048,2048,2048,2048,2048,2048,2048,2048,2048,
2048,2048,2048,2048,2048,1024,1024,1024,1024,1024,1024,9216,9216,3072,3072,
3072,3072,2304,2304,2304,2304,1536,1536,1536,1536,1152,1152,1152,1152,1152,
1152,768,768,768,768,768,768,768,768,768,768,768,768,768,768,384,384,384,384,
384,384,384,384,384,384,384,384,336,336,336,336,4096,4096,3072,3072,3072,3072,
2048,2048,2048,1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,
1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,
1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,
1024,1024,1024,1024,1024,1024,1024,1024,512,512,512,512,512,512,512,512,512,
512,512,512,512,512,512,512,512,512,512,512,512,512,512,512,256,256,256,256,
256,256,256,256,128,128,128,768,768,768,768,768,768,768,768,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,192,192,192,
192,192,192,192,192,192,192,192,192,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
48,48,112,112,112,112,56,56,56,56,128,128,128,128,64,64,42,42,42,42,96,96,96,
96,96,96,96,96,56,56,56,56],
[,[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,5,5,5,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,5,5,5,5,9,7,7,7,7,9,9,9,8,8,7,7,9,3,8,8,13,
13,5,7,7,11,11,9,12,12,7,14,13,12,90,90,90,90,90,90,90,90,90,90,1,1,1,1,1,1,1,
1,1,1,3,3,3,3,3,3,3,3,3,3,24,24,24,24,24,24,24,24,34,34,24,24,24,24,31,31,40,
40,34,37,37,40,37,51,51,53,53,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,169,
169,171,171,5,5,5,5,5,5,5,5,12,12,12,12,5,5,5,5,5,5,12,12,15,15,15,15,9,9,9,9,
12,12,12,12,5,11,11,12,12,15,15,11,11,8,8,18,18,18,18,12,12,12,12,15,18,18,18,
18,15,15,15,15,24,24,24,24,24,24,24,24,34,34,34,34,15,5,5,37,37,37,37,37,37,37
,37,37,37,37,37,37,37,37,37,8,8,3,3,9,15,18,18,15,15,7,7,3,24,24,12,24,24,24,
24,22,22,24,24,20,20,12,32,32,34,34,32,32,37,37,37,37,37,37,37,37,37,37,37,37,
37,37,37,37,5,149,149,148,148,12,12,12,12,23,23,24,24,24,36,36,37,37,20,7,15,
22,17,17,24,148,148,25,25,37,37,37,37,41,41,36,17,37,19,22,24,21,15,20,24,24,
24,24,37,37,37,37,37,37,37,37,38,38,37,37,41,41,149,149,25,25,155,155,35,36,34
,37,40,39,31,158,158,155,155,156,156,157,157,158,158,149,155,158,153,151,148,
169,169,169,169,169,169,169,169,169,169,169,169,169,169,171,171,171,171,171,
171,169,169,169,169,90,90,169,169,90,90,169,169,169,169,169,169,169,169,90,90,
169,169,169,169,169,169,450,450,452,452,69,69,175,175,178,178,75,75,69,29,29,
81,81,81,81,69,69,50,50,55,55,51,51,53,53,68,56,56,58,58,188,188,190,190,217,
217,217,217,188,188,190,190,56,56,75,59,59,75,75,27,27,178,178,175,175,219,219
,219,219,200,200,75,219,219,224,224,67,67,195,195,74,195,195,217,217,81,81,65,
65,224,224,198,198,334,334,88,88,331,331,206,207,288,284,77,408,408,92,92,92,
92,408,408,96,96,408,408,406,406,406,406,408,408,408,408,96,96,408,408,92,92,
408,408,425,425,425,425,96,96,406,406,425,425,425,425,422,422,418,418,428,428,
421,421,437,437,427,427,432,432,420,420,450,450,452,452,450,450,452,452,462,
462,454,454,479,479,618,618,620,620,555,555,553,553,550,550,548,548,607,607,
605,605],[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
,79,80,81,82,83,84,85,86,87,88,89,1,2,5,6,10,9,12,11,14,13,100,101,102,103,104
,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,
162,163,164,165,166,167,168,1,2,1,2,173,174,175,176,177,178,179,180,181,182,
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,
221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,
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,
316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,
335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,
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,
392,393,394,395,396,397,398,399,400,401,402,403,5,6,7,8,3,4,9,10,13,14,16,15,
18,17,9,10,14,13,5,6,23,24,32,31,148,147,19,20,149,150,22,21,33,34,44,43,108,
109,160,159,102,103,105,104,100,101,452,453,450,451,454,455,456,457,458,459,
460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,
479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,
498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,
517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,
536,537,538,539,540,541,542,543,544,545,546,547,53,54,175,176,177,178,52,51,
184,183,114,115,61,62,63,64,113,112,110,111,182,181,47,48,173,174,119,118,124,
125,126,127,192,191,70,71,122,123,120,121,27,30,65,60,317,316,76,77,128,129,
135,134,314,315,87,87,606,607,604,605,610,611,608,609,612,613,615,614,617,616,
452,453,450,451,143,144,458,459,456,457,145,146,633,632,631,630],,,,[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,
222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,
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,
317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,
336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,
355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,
374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,
393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,
412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,
431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,1,
2,1,2,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,
472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,
491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,
510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,
529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,
548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,
567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,
586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,4,3,4,
3,101,100,101,100,612,613,614,615,617,616,90,91,90,91,622,623,624,625,626,627,
628,629,111,110,110,111]],
0,
[(616,617),(614,615),(602,603),(450,452)(451,453)(604,606)(605,607)(608,610)(
609,611)(618,620)(619,621)(630,633)(631,632),(147,150)(148,149)(151,153)(152,
154)(155,158)(156,157)(161,162)(165,166)(175,178)(176,177)(181,183)(182,184)(
187,189)(188,190)(197,199)(198,200)(201,203)(202,204)(206,207)(208,209)(214,
215)(222,223)(225,227)(226,228)(229,231)(230,232)(233,235)(234,236)(237,239)(
238,240)(241,243)(242,244)(248,255)(249,254)(250,252)(251,253)(256,258)(257,
259)(260,262)(261,263)(274,275)(293,294)(295,296)(297,299)(298,300)(301,303)(
302,304)(305,307)(306,308)(309,311)(310,312)(314,317)(315,316)(327,328)(338,
376)(339,375)(340,378)(341,377)(342,344)(343,345)(346,373)(347,374)(357,359)(
358,360)(361,363)(362,364)(365,367)(366,368)(369,370)(371,372)(379,397)(380,
396)(388,390)(389,391)(392,394)(393,395)(398,403)(399,400)(401,402)(428,432)(
429,433)(456,458)(457,459)(465,468)(466,467)(471,472)(473,474)(475,476)(477,
478)(484,486)(485,487)(488,490)(489,491)(492,494)(493,495)(505,507)(506,508)(
509,511)(510,512)(513,536)(514,535)(516,517)(522,523)(527,528)(529,530)(531,
532)(533,534)(539,540)(543,544)(550,553)(551,552)(556,568)(557,569)(592,600)(
593,601)(612,613)(624,626)(625,627),(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)(139,140)(143,144)(145,
146)(167,168)(225,226)(227,228)(229,230)(231,232)(233,234)(235,236)(237,238)(
239,240)(241,242)(243,244)(246,247)(264,265)(266,267)(270,271)(272,273)(280,
281)(282,283)(291,292)(295,296)(297,298)(299,300)(301,302)(303,304)(305,306)(
307,308)(309,310)(311,312)(318,319)(320,321)(327,328)(329,330)(340,341)(357,
358)(359,360)(365,366)(367,368)(369,370)(371,372)(377,378)(379,380)(392,393)(
394,395)(396,397)(440,441)(444,445)(446,447)(448,449)(460,461)(463,464)(465,
466)(467,468)(475,476)(477,478)(492,493)(494,495)(496,497)(499,500)(503,504)(
505,506)(507,508)(509,510)(511,512)(513,514)(520,521)(525,526)(531,532)(533,
534)(535,536)(537,538)(539,540)(558,559)(564,565)(566,567)(574,575)(576,577)(
578,579)(584,585)(586,587)(596,597)(598,599)(608,609)(610,611)(612,613)(622,
623)(628,629)(630,631)(632,633)],
["ConstructProj",[["[2^20]:(S3xL3(2))",[]],["2.F4(2)M5",[]]]]);
ALF("2.F4(2)M5","L3(2)xS3",[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,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,
2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,6,6,7,7,8,
8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,
6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,6,4,4,6,6,6,6,4,4,4,4,4,4,6,6,6,
6,4,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,10,10,10,10,
6,6,6,6,4,4,4,4,4,6,6,6,6,4,4,4,4,4,4,4,10,10,6,6,4,4,4,4,4,4,6,4,6,4,4,4,
4,4,4,6,6,6,6,4,4,4,4,6,6,6,6,6,6,6,6,4,4,10,10,6,6,12,12,6,6,6,6,6,6,6,
10,10,10,10,12,12,12,12,12,12,12,10,10,12,12,12,7,7,7,7,7,7,7,7,7,7,7,7,7,
7,8,8,8,8,8,8,7,7,7,7,5,5,7,7,5,5,7,7,7,7,7,7,9,9,5,5,9,9,9,9,9,9,13,13,
16,16,4,4,10,10,10,10,6,6,4,6,6,6,6,6,6,4,4,4,4,4,4,6,6,6,6,4,4,4,4,4,10,
10,10,10,10,10,10,10,12,12,12,12,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,
12,12,12,6,10,10,10,10,6,6,10,10,6,12,12,12,12,6,6,6,6,12,12,12,12,12,12,
6,6,10,10,12,12,10,12,6,7,7,5,5,5,5,7,7,5,5,9,9,7,7,7,7,9,9,9,9,5,5,7,7,5,
5,9,9,9,9,9,9,5,5,7,7,9,9,9,9,8,8,8,8,11,11,8,8,9,9,9,9,11,11,8,8,13,13,
16,16,15,15,18,18,12,12,12,12,12,12,14,14,17,17,9,9,11,11,11,11,9,9,18,18,
15,15]);
ALF("2.F4(2)M5","[2^20]:(S3xL3(2))",[1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,
10,10,11,11,12,12,13,13,14,15,15,16,17,17,18,18,19,19,20,20,21,21,22,22,
23,23,24,24,25,25,26,26,27,27,28,28,29,30,30,31,31,32,33,33,34,34,35,36,
36,37,37,38,38,39,40,41,41,42,42,43,44,44,45,45,46,47,47,48,49,50,51,52,
52,53,53,54,54,55,55,56,56,57,57,58,58,59,59,60,60,61,61,62,62,63,63,64,
64,65,65,66,66,67,67,68,68,69,69,70,70,71,71,72,72,73,73,74,74,75,75,76,
77,77,78,79,80,80,81,81,82,82,83,83,84,84,85,85,86,86,87,87,88,88,89,89,
90,90,91,91,92,92,93,93,94,94,95,95,96,96,97,97,98,98,99,99,100,100,101,
101,102,102,103,103,104,104,105,105,106,106,107,107,108,108,109,109,110,
110,111,112,112,113,113,114,114,115,115,116,116,117,117,118,118,119,119,
120,120,121,122,122,123,123,124,124,125,125,126,126,127,127,128,128,129,
129,130,130,131,131,132,133,133,134,134,135,135,136,136,137,137,138,138,
139,139,140,140,141,141,142,142,143,143,144,145,146,146,147,147,148,148,
149,150,150,151,152,152,153,153,154,154,155,155,156,156,157,158,158,159,
160,161,161,162,162,163,163,164,164,165,165,166,166,167,167,168,168,169,
169,170,171,171,172,172,173,173,174,174,175,175,176,176,177,178,178,179,
179,180,181,182,183,184,184,185,186,186,187,187,188,188,189,189,190,190,
191,192,193,194,195,196,197,198,199,200,200,201,201,202,202,203,203,204,
204,205,205,206,206,207,207,208,208,209,209,210,210,211,211,212,213,214,
215,216,217,218,219,219,220,220,221,221,222,222,223,223,224,225,226,227,
228,229,230,230,231,231,232,232,233,233,234,234,235,235,236,236,237,237,
238,238,239,239,240,240,241,241,242,242,243,243,244,244,245,245,246,246,
247,247,248,248,249,249,250,250,251,251,252,252,253,253,254,254,255,255,
256,256,257,257,258,258,259,260,260,261,261,262,262,263,264,265,265,266,
266,267,267,268,268,269,270,270,271,271,272,272,273,273,274,274,275,275,
276,276,277,277,278,278,279,280,280,281,282,283,283,284,284,285,285,286,
286,287,287,288,288,289,290,291,292,292,293,293,294,294,295,296,296,297,
298,299,300,301,301,302,302,303,303,304,304,305,305,306,306,307,308,309,
310,311,312,312,313,313,314,314,315,315,316,316,317,317,318,318,319,319,
320,320,321,321,322,322,323,323,324,324,325,325,326,326,327,327,328,328,
329,329,330,330,331,331,332,333,334,335,336,336,337,337,338,338,339,339,
340,340,341,342,343,343,344,344,345,345,346,346,347,347,348,348,349,350,
351,351,352,352,353,353,354,354,355,355,356,356,357,357,358,358]);
ALF("2.F4(2)M5","2.F4(2)",[1,2,3,4,5,6,7,8,3,4,8,7,9,10,5,6,7,8,10,9,10,9,
8,7,9,10,18,22,21,28,7,8,4,3,10,9,7,8,10,9,9,10,10,9,9,10,20,19,20,19,19,
20,17,17,17,21,22,18,18,27,25,26,24,23,17,20,19,30,29,34,33,27,27,30,29,
36,35,28,31,32,29,30,27,33,34,37,38,39,37,11,12,46,47,43,42,54,55,59,58,3,
4,7,8,10,9,9,10,9,10,19,20,19,20,20,19,20,19,17,17,33,34,23,24,25,26,33,
34,20,19,32,31,37,37,33,34,35,36,27,33,34,39,37,71,72,76,75,6,5,7,8,10,9,
9,10,7,8,10,9,10,9,10,9,10,9,9,10,9,10,13,14,15,16,22,21,21,22,18,18,21,
22,23,24,26,25,22,21,22,21,18,18,32,31,28,28,21,22,17,17,20,19,24,23,25,
26,18,29,30,33,34,22,21,30,29,29,30,30,29,30,29,32,31,34,33,18,30,29,29,
30,22,21,18,18,33,34,34,33,25,26,24,23,27,27,20,19,28,28,28,34,33,37,37,
31,32,23,24,37,37,32,31,26,25,34,33,29,30,27,27,27,28,29,30,28,28,34,33,
27,31,32,37,31,32,37,37,35,36,31,32,35,36,37,30,29,27,17,29,30,34,33,26,
25,31,32,37,37,24,23,34,33,37,37,32,31,28,32,31,21,22,37,37,31,32,30,29,
31,32,37,36,35,34,33,39,37,28,39,31,32,37,28,28,35,36,33,34,37,37,39,39,
39,37,37,38,39,37,38,28,39,37,37,34,33,37,37,32,31,37,37,31,32,30,29,33,
34,35,36,32,31,39,39,32,31,38,39,27,37,39,38,37,35,36,31,32,30,29,38,38,
39,39,37,37,39,39,38,28,44,45,56,57,48,49,48,49,60,61,45,44,57,56,50,51,
63,62,52,53,57,56,57,56,46,47,61,60,54,55,60,61,49,48,60,61,60,61,58,59,
56,57,60,61,48,49,64,65,64,65,68,69,73,74,78,77,68,69,70,73,74,69,68,80,
80,79,80,71,72,75,76,71,72,75,76,81,73,74,78,77,74,73,78,77,79,79,68,69,
74,73,77,78,73,74,70,78,77,79,79,77,78,78,77,74,73,68,69,79,79,71,72,80,
79,70,78,77,71,72,74,73,81,73,74,70,79,70,80,75,76,77,78,76,75,84,83,84,
83,84,83,79,81,82,82,82,97,98,109,110,96,95,112,111,105,106,112,111,107,
108,104,103,112,111,111,112,102,101,112,111,110,109,97,98,107,108,115,116,
113,114,116,115,103,104,115,116,100,118,99,117,110,109,120,119,112,111,
116,115,114,113,121,122,126,125,126,125,126,125,126,125,135,136,133,134,
137,138,151,152,151,152,157,158,160,159,155,156,162,161,164,163,163,164],[
"fusion map is unique up to table automorphisms"
]);
MOT("F4(2)M6",
[
"6th maximal subgroup of F4(2),\n",
"differs from F4(2)M5 only by fusion map"
],
0,
0,
0,
0,
["ConstructPermuted",["[2^20]:(S3xL3(2))"]]);
ALF("F4(2)M6","F4(2)",[1,3,2,4,3,4,5,2,4,5,5,4,5,9,11,15,4,3,5,4,5,5,5,5,
12,12,12,10,10,11,9,16,14,13,10,12,17,18,16,16,17,20,15,19,17,16,18,21,22,
23,21,7,28,26,32,34,3,4,5,5,5,12,12,12,12,10,18,13,14,18,12,19,21,18,20,
16,18,23,21,41,43,2,4,5,5,4,5,5,5,5,5,5,6,8,11,11,9,11,13,14,11,11,9,19,
15,11,10,12,13,14,9,17,18,11,17,17,17,17,19,18,9,17,17,11,9,18,18,14,13,
16,12,15,15,18,21,19,13,21,19,14,18,17,16,16,15,17,15,18,16,19,21,19,21,
20,19,20,21,17,16,10,17,18,14,19,21,13,18,21,19,15,19,11,21,19,17,19,21,
20,18,23,21,15,23,19,21,15,20,18,21,23,23,21,21,22,23,21,22,15,23,21,18,
21,19,21,19,17,18,20,19,23,19,22,23,16,21,23,22,21,20,19,17,22,23,21,21,
23,23,22,15,25,31,27,27,33,25,31,30,35,29,31,31,28,33,32,33,27,33,33,34,
31,33,27,37,37,38,40,42,38,39,40,38,44,45,44,41,43,41,43,46,40,42,40,42,
45,38,40,42,40,39,42,45,45,42,42,40,38,45,41,44,45,39,42,41,40,46,40,39,
45,39,44,43,42,43,48,48,48,45,46,47,47,47,54,63,55,62,61,62,60,58,62,62,
59,62,63,54,60,64,65,64,58,64,56,66,57,67,63,68,62,64,65,69,70,73,73,73,
73,77,76,78,79,87,87,88,91,89,90,93,93],[
"fusion [2^20]:(S3xL3(2)) -> F4(2) mapped under F4(2).2"
]);
MOT("2.F4(2)M6",
[
"6th maximal subgroup of 2.F4(2),\n",
"differs from 2.F4(2)M5 only by fusion map"
],
0,
0,
0,
0,
["ConstructPermuted",["2.F4(2)M5"]]);
ALF("2.F4(2)M6","2.F4(2)",[1,2,5,6,3,4,7,8,5,6,8,7,9,10,3,4,7,8,10,9,10,9,
8,7,9,10,17,20,19,27,7,8,6,5,10,9,7,8,10,9,9,10,10,9,9,10,22,21,22,21,21,
22,18,18,18,19,20,17,17,28,26,25,24,23,18,22,21,30,29,32,31,28,28,30,29,
36,35,27,33,34,29,30,28,31,32,37,38,39,37,13,14,48,49,45,44,56,57,61,60,5,
6,7,8,10,9,9,10,9,10,21,22,21,22,22,21,22,21,18,18,31,32,23,24,26,25,31,
32,22,21,34,33,37,37,31,32,35,36,28,31,32,39,37,73,74,78,77,4,3,7,8,10,9,
9,10,7,8,10,9,10,9,10,9,10,9,9,10,9,10,11,12,15,16,20,19,19,20,17,17,19,
20,23,24,25,26,20,19,20,19,17,17,34,33,27,27,19,20,18,18,22,21,24,23,26,
25,17,29,30,31,32,20,19,30,29,29,30,30,29,30,29,34,33,32,31,17,30,29,29,
30,20,19,17,17,31,32,32,31,26,25,24,23,28,28,22,21,27,27,27,32,31,37,37,
33,34,23,24,37,37,34,33,25,26,32,31,29,30,28,28,28,27,29,30,27,27,32,31,
28,33,34,37,33,34,37,37,35,36,33,34,35,36,37,30,29,28,18,29,30,32,31,25,
26,33,34,37,37,24,23,32,31,37,37,34,33,27,34,33,19,20,37,37,33,34,30,29,
33,34,37,36,35,32,31,39,37,27,39,33,34,37,27,27,35,36,31,32,37,37,39,39,
39,37,37,38,39,37,38,27,39,37,37,32,31,37,37,34,33,37,37,33,34,30,29,31,
32,35,36,34,33,39,39,34,33,38,39,28,37,39,38,37,35,36,33,34,30,29,38,38,
39,39,37,37,39,39,38,27,42,43,54,55,46,47,46,47,58,59,43,42,55,54,52,53,
63,62,50,51,55,54,55,54,48,49,59,58,56,57,58,59,47,46,58,59,58,59,60,61,
54,55,58,59,46,47,66,67,66,67,68,69,71,72,76,75,68,69,70,71,72,69,68,79,
79,80,79,73,74,77,78,73,74,77,78,81,71,72,76,75,72,71,76,75,80,80,68,69,
72,71,75,76,71,72,70,76,75,80,80,75,76,76,75,72,71,68,69,80,80,73,74,79,
80,70,76,75,73,74,72,71,81,71,72,70,80,70,79,77,78,75,76,78,77,84,83,84,
83,84,83,80,81,82,82,82,95,96,111,112,98,97,110,109,108,107,110,109,106,
105,102,101,110,109,109,110,104,103,110,109,112,111,95,96,106,105,113,114,
115,116,114,113,101,102,113,114,99,117,100,118,112,111,120,119,110,109,
114,113,116,115,121,122,128,127,128,127,128,127,128,127,135,136,133,134,
137,138,153,154,153,154,155,156,162,161,157,158,160,159,166,165,165,166],[
"fusion 2.F4(2)M5 -> 2.F4(2) mapped under 2.F4(2).2"
]);
MOT("F4(2)M13",
[
"origin: Dixon's Algorithm"
],
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36,36,36,18,108,108,108,32,32,24,48,32,32,24,48,18,36,24,24,72,36,48,48],
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[(46,47)(50,51)(56,57)(60,61),(46,50)(47,51)(48,52)(49,53)(56,57)(60,61),(22,
23),(29,30,31)(33,34,35)(39,40,41)(43,44,45),(3,9)(4,16)(5,15)(6,26)(7,25)(10,
14)(11,24)(17,28)(18,27)(30,31)(32,37)(33,45)(34,44)(35,43)(38,42)(40,41)(47,
51)(48,56)(49,60)(52,57)(53,61)(55,59)]);
ALF("F4(2)M13","F4(2)",[1,8,6,2,29,9,56,8,7,28,55,5,35,27,30,3,66,15,20,68,22,
69,70,54,57,10,16,67,6,8,7,50,29,28,25,8,49,82,33,35,34,83,27,30,26,47,47,
90,43,47,47,90,43,35,34,91,91,5,33,42,42],[
"fusion map is unique up to table automorphisms"
]);
ALN("F4(2)M13",["F4(2)N3C"]);
MOT("(L3(2)xL3(2)):2",
[
"constructed using `CharacterTableOfIndexTwoSubdirectProduct'"
],
[56448,2688,1008,1344,1176,2688,128,48,64,56,1008,48,18,24,21,1344,64,24,32,28
,1176,56,21,28,49,49,72,36,48,48,36,18,24,24,48,24,32,32,48,24,32,32],
[,[1,1,3,2,5,1,1,3,2,5,11,11,13,12,15,6,6,8,7,10,21,21,23,22,25,26,1,3,4,4,11,
13,14,14,16,18,19,19,16,18,19,19],[1,2,1,4,5,6,7,6,9,10,1,2,1,4,5,16,17,16,19,
20,21,22,21,24,25,26,27,27,30,29,27,27,30,29,39,39,42,41,35,35,38,37],,,,[1,2,
3,4,1,6,7,8,9,6,11,12,13,14,11,16,17,18,19,16,1,2,3,4,1,1,27,28,29,30,31,32,33
,34,35,36,37,38,39,40,41,42]],
0,
[(25,26),(29,30)(33,34)(37,38)(41,42),(35,39)(36,40)(37,41)(38,42),(2,6)(3,11)
(4,16)(5,21)(8,12)(9,17)(10,22)(14,18)(15,23)(20,24)(28,31)(29,35)(30,39)(33,
36)(34,40)(38,41)],
["ConstructIndexTwoSubdirectProduct","L3(2)","L3(2).2","L3(2)","L3(2).2",[51,
52,53,54,60,61,62,63,69,70,71,72,78,79,80,81],(),()]);
ALF("(L3(2)xL3(2)):2","L3(2).2",[1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5,
5,5,5,5,5,6,6,6,6,7,7,7,7,8,8,8,8,9,9,9,9]);
ALF("(L3(2)xL3(2)):2","F4(2)",[1,2,6,11,37,3,5,27,15,73,7,28,8,63,87,12,16,
62,23,93,36,72,86,92,36,37,5,33,40,40,34,35,89,89,41,88,48,48,41,88,48,48],[
"fusion map is unique up to table aut."
]);
LIBTABLE.LOADSTATUS.ctomax23:="userloaded";
#############################################################################
##
#E
