File: ctounit3.tbl

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#############################################################################
##
#W  ctounit3.tbl                GAP table library               Thomas Breuer
##
#H  @(#)$Id: ctounit3.tbl,v 4.16 2004/02/17 17:33:14 gap Exp $
##
#Y  Copyright (C)  1996,  Lehrstuhl D fuer Mathematik,  RWTH Aachen,  Germany
##
##  This file contains the ordinary character tables related to the unitary
##  groups $U_3(11)$, $U_4(2)$ and $U_5(2)$ of the ATLAS.
##
Revision.ctounit3_tbl :=
    "@(#)$Id: ctounit3.tbl,v 4.16 2004/02/17 17:33:14 gap Exp $";

SET_TABLEFILENAME("ctounit3");
ALN:= Ignore;

MOT("2.U4(2)",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5]"
],
[51840,51840,576,96,1296,1296,1296,1296,216,216,108,108,96,96,8,10,10,144,144,
144,144,36,36,36,36,12,18,18,18,18,24,24,24,24],
[,[1,1,1,2,7,7,5,5,9,9,11,11,3,3,4,16,16,7,7,5,5,9,9,11,11,10,29,29,27,27,21,
21,19,19],[1,2,3,4,1,2,1,2,1,2,1,2,13,14,15,16,17,3,3,3,3,3,3,3,3,4,5,6,7,8,
13,14,13,14],,[1,2,3,4,7,8,5,6,9,10,11,12,13,14,15,1,2,20,21,18,19,23,22,25,
24,26,29,30,27,28,33,34,31,32]],
0,
[( 5, 7)( 6, 8)(18,20)(19,21)(22,23)(24,25)(27,29)(28,30)(31,33)(32,34)],
["ConstructProj",[["U4(2)",[]],["2.U4(2)",[]]]]);
ARC("2.U4(2)","tomfusion",rec(name:="2.U4(2)",map:=[1,2,3,10,4,12,4,12,5,13,6,
14,8,9,27,11,32,15,16,15,16,18,18,19,19,41,31,58,31,58,39,40,39,40],text:=[
"fusion map is unique"
]));
ALF("2.U4(2)","U4(2)",[1,1,2,3,4,4,5,5,6,6,7,7,8,8,9,10,10,11,11,12,12,13,
14,15,15,16,17,17,18,18,19,19,20,20]);
ALF("2.U4(2)","2.U4(2).2",[1,2,3,4,5,6,5,6,7,8,9,10,11,12,13,14,15,16,17,
16,17,18,18,19,19,20,21,22,21,22,23,24,23,24]);

MOT("2.U4(2).2",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5]"
],
[103680,103680,1152,192,1296,1296,432,432,216,216,192,192,16,20,20,144,144,36,
36,24,18,18,24,24,1440,96,192,192,32,36,36,12,16,16,20,20,24,24],
[,[1,1,1,2,5,5,7,7,9,9,3,3,4,14,14,5,5,7,9,8,21,21,17,17,2,1,4,4,4,8,10,9,11,
11,15,15,20,20],[1,2,3,4,1,2,1,2,1,2,11,12,13,14,15,3,3,3,3,4,5,6,11,12,25,26,
27,28,29,25,25,26,33,34,35,36,27,28],,[1,2,3,4,5,6,7,8,9,10,11,12,13,1,2,16,
17,18,19,20,21,22,23,24,25,26,28,27,29,30,31,32,34,33,25,25,38,37]],
0,
[(35,36),(27,28)(33,34)(35,36)(37,38),(27,28)(33,34)(37,38)],
["ConstructProj",[["U4(2).2",[]],["2.U4(2).2",[]]]]);
ARC("2.U4(2).2","tomfusion",rec(name:="2.U4(2).2",map:=[1,2,3,9,5,16,6,17,7,
18,11,10,46,15,56,20,19,21,22,82,55,138,84,83,8,4,44,44,45,81,80,23,47,47,140,
140,169,169],text:=[
"fusion map is unique"
]));
ALF("2.U4(2).2","U4(2).2",[1,1,2,3,4,4,5,5,6,6,7,7,8,9,9,10,10,11,12,13,
14,14,15,15,16,17,18,18,19,20,21,22,23,23,24,24,25,25]);
ALF("2.U4(2).2","2.S6(2)",[1,2,4,5,9,10,7,8,11,12,13,14,18,19,20,24,23,22,
27,25,34,35,40,41,3,6,15,15,16,21,26,28,31,31,36,37,38,38],[
"fusion map is unique up to table autom."
]);

MOT("3.U3(11)",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,11,37]"
],
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120,120,120,120,120,120,120,132,132,132,111,111,111,111,111,111,111,111,111,
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["ConstructProj",[["U3(11)",[]],,["3.U3(11)",[-1,-1,-7,-7,-1,-1,-1,-1,-1,-7,
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-79,-79,-73,-73,-73,-73,-73,-73,-73,-73,-73,-73,-73,-73]]]]);
ALF("3.U3(11)","U3(11)",[1,1,1,2,2,2,3,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,
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18,18,18,19,19,19,20,20,20,21,21,21,22,22,22,23,23,23,24,24,24,25,25,25,
26,26,26,27,27,27,28,28,28,29,29,29,30,30,30,31,31,31,32,32,32,33,33,33,
34,34,34,35,35,35,36,36,36,37,37,37,38,38,38,39,39,39,40,40,40,41,41,41,
42,42,42,43,43,43,44,44,44,45,45,45,46,46,46,47,47,47,48,48,48]);
ALF("3.U3(11)","3.U3(11).2",[1,2,2,3,4,4,5,6,7,8,6,8,7,9,10,10,11,12,12,
13,14,14,15,16,16,17,18,19,17,19,18,20,21,21,22,23,23,24,25,25,26,27,27,
28,29,30,28,30,29,31,32,33,31,33,32,34,35,35,36,37,37,38,39,40,38,40,39,
41,42,43,41,43,42,44,45,45,46,47,48,46,48,47,49,50,51,49,51,50,52,53,54,
52,54,53,55,56,57,55,57,56,58,59,60,58,60,59,61,62,63,61,63,62,64,65,66,
64,66,65,67,68,69,67,69,68,70,71,72,70,72,71,73,74,75,73,75,74,76,77,78,
76,78,77]);
ALF("3.U3(11)","3.U3(11).3",[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,
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43,41,42,43,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,
61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,
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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]);

MOT("3.U3(11).2",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,11,37]"
],
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44,44],
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11,15,22,20,26,36,34,44,44],[1,1,3,3,1,6,6,6,9,9,13,13,11,11,3,3,17,17,17,22,
22,20,20,24,24,26,26,28,28,28,6,6,6,9,9,9,9,41,41,41,38,38,38,44,44,52,52,52,
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92],,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,1,2,1,2,
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(38,41)(39,42)(40,43)(64,73,70,67)(65,74,71,68)(66,75,72,69)(83,84)(86,87),
( 7, 8)(18,19)(32,33)(34,36)(35,37)(39,40)(42,43)(64,70)(65,72)(66,71)(67,73)
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["ConstructMixed","3.U3(11)","U3(11).2",
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        [ 79, 82 ], [ 80, 81 ], [ 83, 86 ], [ 84, 85 ], [ 87, 88 ],
        [ 89, 90 ], [ 91, 92 ], [ 93, 94 ], [ 95, 98 ], [ 96, 97 ],
        [ 99, 102 ], [ 100, 101 ], [ 103, 106 ], [ 104, 105 ], [ 107, 110 ],
        [ 108, 109 ], [ 111, 114 ], [ 112, 113 ], [ 115, 118 ], [ 116, 117 ],
        [ 119, 122 ], [ 120, 121 ], [ 123, 126 ], [ 124, 125 ], [ 127, 130 ],
        [ 128, 129 ], [ 131, 134 ], [ 132, 133 ], [ 135, 138 ], [ 136, 137 ],
        [ 139, 142 ], [ 140, 141 ] ], ()]);
ALF("3.U3(11).2","U3(11).2",[1,1,2,2,3,4,4,4,5,5,6,6,7,7,8,8,9,9,9,10,10,
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29,29,29,30,30,30,31,31,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45]);
ALF("3.U3(11).2","3.U3(11).S3",[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,
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222]);

MOT("3.U3(11).3",
[
"origin: ATLAS of finite groups"
],
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4,4,4,4,4,11,11,11,11,11,11,8,8,8,8,8,8,14,14,14,14,14,14,11,11,11,11,11,11,8,
8,8,8,8,8,14,14,14,14,14,14,14,14,14,14,14,14,20,20,20,20,20,20,17,17,17,17,
17,17,29,29,29,29,29,29,26,26,26,26,26,26,35,35,35,35,35,35,32,32,32,32,32,32,
38,38,38,38,38,38,65,65,65,65,65,65,62,62,62,62,62,62,59,59,59,59,59,59,56,56,
56,56,56,56,68,68,68,68,68,68,84,84,84,85,85,85,87,87,87,88,88,88,90,90,90,91,
91,91,93,93,93,94,94,94,96,96,96,97,97,97,99,99,99,100,100,100,102,102,102,
103,103,103,105,105,105,106,106,106,75,75,75,76,76,76,72,72,72,73,73,73,81,81,
81,82,82,82,78,78,78,79,79,79,116,116,116,116,116,116,113,113,113,113,113,113,
122,122,122,122,122,122,119,119,119,119,119,119,128,128,128,128,128,128,125,
125,125,125,125,125,110,110,110,110,110,110,107,107,107,107,107,107,134,134,
134,134,134,134,131,131,131,131,131,131],,[1,3,2,4,6,5,7,8,10,9,11,13,12,14,
16,15,1,3,2,1,3,2,23,25,24,26,28,27,29,31,30,4,6,5,4,6,5,38,40,39,41,43,42,44,
46,45,47,49,48,53,55,54,50,52,51,8,10,9,11,13,12,8,10,9,11,13,12,68,70,69,104,
106,105,101,103,102,71,73,72,74,76,75,77,79,78,80,82,81,83,85,84,86,88,87,89,
91,90,92,94,93,95,97,96,98,100,99,26,28,27,29,31,30,26,28,27,29,31,30,26,28,
27,29,31,30,26,28,27,29,31,30,131,133,132,134,136,135,140,141,142,137,138,139,
144,143,148,149,150,145,146,147,154,155,156,151,152,153,160,161,162,157,158,
159,166,167,168,163,164,165,172,173,174,169,170,171,178,179,180,175,176,177,
184,185,186,181,182,183,190,191,192,187,188,189,196,197,198,193,194,195,140,
141,142,137,138,139,140,141,142,137,138,139,214,215,216,211,212,213,220,221,
222,217,218,219,148,149,150,145,146,147,148,149,150,145,146,147,238,239,240,
235,236,237,160,161,162,157,158,159,166,167,168,163,164,165,160,161,162,157,
158,159,166,167,168,163,164,165,268,269,270,265,266,267,341,342,340,338,339,
337,335,336,334,332,333,331,274,275,276,271,272,273,280,281,282,277,278,279,
286,287,288,283,284,285,292,293,294,289,290,291,298,299,300,295,296,297,304,
305,306,301,302,303,310,311,312,307,308,309,316,317,318,313,314,315,322,323,
324,319,320,321,328,329,330,325,326,327,214,215,216,211,212,213,220,221,222,
217,218,219,214,215,216,211,212,213,220,221,222,217,218,219,214,215,216,211,
212,213,220,221,222,217,218,219,214,215,216,211,212,213,220,221,222,217,218,
219,394,395,396,391,392,393,400,401,402,397,398,399],,,,,,[1,3,2,4,6,5,7,11,
13,12,8,10,9,14,16,15,17,19,18,20,22,21,23,25,24,29,31,30,26,28,27,32,34,33,
35,37,36,1,3,2,1,3,2,47,49,48,44,46,45,50,52,51,53,55,54,59,61,60,56,58,57,65,
67,66,62,64,63,4,6,5,74,76,75,71,73,72,80,82,81,77,79,78,86,88,87,83,85,84,92,
94,93,89,91,90,98,100,99,95,97,96,104,106,105,101,103,102,110,112,111,107,109,
108,116,118,117,113,115,114,122,124,123,119,121,120,128,130,129,125,127,126,
11,13,12,8,10,9,140,141,142,137,138,139,144,143,148,149,150,145,146,147,154,
155,156,151,152,153,166,167,168,163,164,165,160,161,162,157,158,159,172,173,
174,169,170,171,184,185,186,181,182,183,178,179,180,175,176,177,196,197,198,
193,194,195,190,191,192,187,188,189,202,203,204,199,200,201,208,209,210,205,
206,207,220,221,222,217,218,219,214,215,216,211,212,213,226,227,228,223,224,
225,232,233,234,229,230,231,140,141,142,137,138,139,250,251,252,247,248,249,
244,245,246,241,242,243,262,263,264,259,260,261,256,257,258,253,254,255,148,
149,150,145,146,147,280,281,282,277,278,279,274,275,276,271,272,273,292,293,
294,289,290,291,286,287,288,283,284,285,304,305,306,301,302,303,298,299,300,
295,296,297,316,317,318,313,314,315,310,311,312,307,308,309,328,329,330,325,
326,327,322,323,324,319,320,321,340,341,342,337,338,339,334,335,336,331,332,
333,352,353,354,349,350,351,346,347,348,343,344,345,364,365,366,361,362,363,
358,359,360,355,356,357,376,377,378,373,374,375,370,371,372,367,368,369,388,
389,390,385,386,387,382,383,384,379,380,381,166,167,168,163,164,165,160,161,
162,157,158,159],,,,,,,,,,,,,,,,,,,,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,
15,16,20,21,22,17,18,19,23,24,25,26,27,28,29,30,31,35,36,37,32,33,34,38,39,40,
41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,62,63,64,65,66,67,56,57,58,59,60,
61,68,69,70,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,
1,2,3,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,
107,108,109,110,111,112,131,132,133,134,135,136,137,138,139,140,141,142,143,
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,
182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,205,206,
207,208,209,210,199,200,201,202,203,204,211,212,213,214,215,216,217,218,219,
220,221,222,229,230,231,232,233,234,223,224,225,226,227,228,235,236,237,238,
239,240,253,254,255,256,257,258,259,260,261,262,263,264,241,242,243,244,245,
246,247,248,249,250,251,252,265,266,267,268,269,270,143,143,143,144,144,144,
143,143,143,144,144,144,143,143,143,144,144,144,143,143,143,144,144,144,143,
143,143,144,144,144,143,143,143,144,144,144,143,143,143,144,144,144,143,143,
143,144,144,144,143,143,143,144,144,144,143,143,143,144,144,144,143,143,143,
144,144,144,143,143,143,144,144,144,355,356,357,358,359,360,361,362,363,364,
365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,
384,385,386,387,388,389,390,343,344,345,346,347,348,349,350,351,352,353,354,
391,392,393,394,395,396,397,398,399,400,401,402]],
0,
[(137,138,139)(140,141,142)(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)(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),(107,119)
(108,120)(109,121)(110,122)(111,123)(112,124)(113,125)(114,126)(115,127)
(116,128)(117,129)(118,130)(343,367)(344,368)(345,369)(346,370)(347,371)
(348,372)(349,373)(350,374)(351,375)(352,376)(353,377)(354,378)(355,379)
(356,380)(357,381)(358,382)(359,383)(360,384)(361,385)(362,386)(363,387)
(364,388)(365,389)(366,390),( 71, 77, 83, 89, 95,101, 74, 80, 86, 92, 98,104)
( 72, 78, 84, 90, 96,102, 75, 81, 87, 93, 99,105)( 73, 79, 85, 91, 97,103, 76,
 82, 88, 94,100,106)(271,283,295,307,319,331,279,291,303,315,327,339,272,284,
 296,308,320,332,277,289,301,313,325,337,273,285,297,309,321,333,278,290,302,
 314,326,338)(274,286,298,310,322,334,282,294,306,318,330,342,275,287,299,311,
 323,335,280,292,304,316,328,340,276,288,300,312,324,336,281,293,305,317,329,
 341),( 17, 20)( 18, 21)( 19, 22)( 32, 35)( 33, 36)( 34, 37)( 56, 62)( 57, 63)
( 58, 64)( 59, 65)( 60, 66)( 61, 67)(107,125,119,113)(108,126,120,114)
(109,127,121,115)(110,128,122,116)(111,129,123,117)(112,130,124,118)(199,205)
(200,206)(201,207)(202,208)(203,209)(204,210)(223,229)(224,230)(225,231)
(226,232)(227,233)(228,234)(241,253)(242,254)(243,255)(244,256)(245,257)
(246,258)(247,259)(248,260)(249,261)(250,262)(251,263)(252,264)
(343,379,367,355)(344,380,368,356)(345,381,369,357)(346,382,370,358)
(347,383,371,359)(348,384,372,360)(349,385,373,361)(350,386,374,362)
(351,387,375,363)(352,388,376,364)(353,389,377,365)(354,390,378,366),(  8, 11)
(  9, 12)( 10, 13)( 26, 29)( 27, 30)( 28, 31)( 44, 47)( 45, 48)( 46, 49)
( 50, 53)( 51, 54)( 52, 55)( 56, 59)( 57, 60)( 58, 61)( 62, 65)( 63, 66)
( 64, 67)(107,122)(108,123)(109,124)(110,119)(111,120)(112,121)(113,128)
(114,129)(115,130)(116,125)(117,126)(118,127)(131,134)(132,135)(133,136)
(157,163)(158,164)(159,165)(160,166)(161,167)(162,168)(175,181)(176,182)
(177,183)(178,184)(179,185)(180,186)(187,193)(188,194)(189,195)(190,196)
(191,197)(192,198)(211,217)(212,218)(213,219)(214,220)(215,221)(216,222)
(241,247)(242,248)(243,249)(244,250)(245,251)(246,252)(253,259)(254,260)
(255,261)(256,262)(257,263)(258,264)(343,373)(344,374)(345,375)(346,376)
(347,377)(348,378)(349,367)(350,368)(351,369)(352,370)(353,371)(354,372)
(355,385)(356,386)(357,387)(358,388)(359,389)(360,390)(361,379)(362,380)
(363,381)(364,382)(365,383)(366,384)(391,397)(392,398)(393,399)(394,400)
(395,401)(396,402),(  2,  3)(  5,  6)(  9, 10)( 12, 13)( 15, 16)( 18, 19)
( 21, 22)( 24, 25)( 27, 28)( 30, 31)( 33, 34)( 36, 37)( 39, 40)( 42, 43)
( 45, 46)( 48, 49)( 50, 53)( 51, 55)( 52, 54)( 57, 58)( 60, 61)( 63, 64)
( 66, 67)( 69, 70)( 72, 73)( 75, 76)( 78, 79)( 81, 82)( 84, 85)( 87, 88)
( 90, 91)( 93, 94)( 96, 97)( 99,100)(102,103)(105,106)(108,109)(111,112)
(114,115)(117,118)(120,121)(123,124)(126,127)(129,130)(132,133)(135,136)
(137,140)(138,141)(139,142)(143,144)(145,148)(146,149)(147,150)(151,154)
(152,155)(153,156)(157,160)(158,161)(159,162)(163,166)(164,167)(165,168)
(169,172)(170,173)(171,174)(175,178)(176,179)(177,180)(181,184)(182,185)
(183,186)(187,190)(188,191)(189,192)(193,196)(194,197)(195,198)(199,202)
(200,203)(201,204)(205,208)(206,209)(207,210)(211,214)(212,215)(213,216)
(217,220)(218,221)(219,222)(223,226)(224,227)(225,228)(229,232)(230,233)
(231,234)(235,238)(236,239)(237,240)(241,244)(242,245)(243,246)(247,250)
(248,251)(249,252)(253,256)(254,257)(255,258)(259,262)(260,263)(261,264)
(265,268)(266,269)(267,270)(271,276,272,274,273,275)(277,282,278,280,279,281)
(283,288,284,286,285,287)(289,294,290,292,291,293)(295,300,296,298,297,299)
(301,306,302,304,303,305)(307,312,308,310,309,311)(313,318,314,316,315,317)
(319,324,320,322,321,323)(325,330,326,328,327,329)(331,336,332,334,333,335)
(337,342,338,340,339,341)(343,346)(344,347)(345,348)(349,352)(350,353)
(351,354)(355,358)(356,359)(357,360)(361,364)(362,365)(363,366)(367,370)
(368,371)(369,372)(373,376)(374,377)(375,378)(379,382)(380,383)(381,384)
(385,388)(386,389)(387,390)(391,394)(392,395)(393,396)(397,400)(398,401)
(399,402),(271,273,272)(274,276,275)(277,279,278)(280,282,281)(283,285,284)
(286,288,287)(289,291,290)(292,294,293)(295,297,296)(298,300,299)(301,303,302)
(304,306,305)(307,309,308)(310,312,311)(313,315,314)(316,318,317)(319,321,320)
(322,324,323)(325,327,326)(328,330,329)(331,333,332)(334,336,335)(337,339,338)
(340,342,341)],
["ConstructProj",[["U3(11).3",[]],,["3.U3(11).3",[2,2,5,5,2,2,2,5,5,5,5,2,2,5,
5,5,5,11,11,11,11,29,29,29,29,29,29,29,29,29,29,29,29,137,137,137,137,137,137,
137,137,137,137,137,137]]]]);
ALF("3.U3(11).3","U3(11).3",[1,1,1,2,2,2,3,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,
9,9,9,10,10,10,11,11,11,12,12,12,13,13,13,14,14,14,15,15,15,16,16,16,17,
17,17,18,18,18,19,19,19,20,20,20,21,21,21,22,22,22,23,23,23,24,24,24,25,
25,25,26,26,26,27,27,27,28,28,28,29,29,29,30,30,30,31,31,31,32,32,32,33,
33,33,34,34,34,35,35,35,36,36,36,37,37,37,38,38,38,39,39,39,40,40,40,41,
41,41,42,42,42,43,43,43,44,44,44,45,45,45,46,46,46,47,47,47,48,48,48,49,
50,51,51,51,52,52,52,53,53,53,54,54,54,55,55,55,56,56,56,57,57,57,58,58,
58,59,59,59,60,60,60,61,61,61,62,62,62,63,63,63,64,64,64,65,65,65,66,66,
66,67,67,67,68,68,68,69,69,69,70,70,70,71,71,71,72,72,72,73,73,73,74,74,
74,75,75,75,76,76,76,77,77,77,78,78,78,79,79,79,80,80,80,81,81,81,82,82,
82,83,83,83,84,84,84,85,85,85,86,86,86,87,87,87,88,88,88,89,89,89,90,90,
90,91,91,91,92,92,92,93,93,93,94,94,94,95,95,95,96,96,96,97,97,97,98,98,
98,99,99,99,100,100,100,101,101,101,102,102,102,103,103,103,104,104,104,
105,105,105,106,106,106,107,107,107,108,108,108,109,109,109,110,110,110,
111,111,111,112,112,112,113,113,113,114,114,114,115,115,115,116,116,116,
117,117,117,118,118,118,119,119,119,120,120,120,121,121,121,122,122,122,
123,123,123,124,124,124,125,125,125,126,126,126,127,127,127,128,128,128,
129,129,129,130,130,130,131,131,131,132,132,132,133,133,133,134,134,134,
135,135,135,136,136,136]);
ALF("3.U3(11).3","3.U3(11).S3",[1,2,2,3,4,4,5,6,7,8,6,8,7,9,10,10,11,12,12,13,
14,14,15,16,16,17,18,19,17,19,18,20,21,21,22,23,23,24,25,25,26,27,27,28,29,30,
28,30,29,31,32,32,33,34,34,35,36,37,35,37,36,38,39,40,38,40,39,41,42,42,43,44,
45,43,45,44,46,47,48,46,48,47,49,50,51,49,51,50,52,53,54,52,54,53,55,56,57,55,
57,56,58,59,60,58,60,59,61,62,63,61,63,62,64,65,66,64,66,65,67,68,69,67,69,68,
70,71,72,70,72,71,73,74,75,73,75,74,76,77,78,76,77,78,79,79,80,81,82,80,81,82,
83,84,85,83,84,85,86,87,88,89,90,91,89,90,91,86,87,88,92,93,94,92,93,94,95,96,
97,98,99,100,98,99,100,95,96,97,101,102,103,104,105,106,104,105,106,101,102,
103,107,108,109,107,108,109,110,111,112,110,111,112,113,114,115,116,117,118,
116,117,118,113,114,115,119,120,121,119,120,121,122,123,124,122,123,124,125,
126,127,125,126,127,128,129,130,131,132,133,131,132,133,128,129,130,134,135,
136,137,138,139,137,138,139,134,135,136,140,141,142,140,141,142,143,144,145,
146,147,148,146,147,148,143,144,145,149,150,151,152,153,154,152,153,154,149,
150,151,155,156,157,158,159,160,158,159,160,155,156,157,161,162,163,164,165,
166,164,165,166,161,162,163,167,168,169,170,171,172,170,171,172,167,168,169,
173,174,175,176,177,178,176,177,178,173,174,175,179,180,181,182,183,184,182,
183,184,179,180,181,185,186,187,188,189,190,188,189,190,185,186,187,191,192,
193,194,195,196,194,195,196,191,192,193,197,198,199,200,201,202,200,201,202,
197,198,199,203,204,205,206,207,208,206,207,208,203,204,205]);

MOT("3.U3(11).S3",
[
"origin: ATLAS of finite groups"
],
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432,864,432,360,360,360,360,360,360,792,396,333,333,333,333,333,333,333,333,
333,333,333,333,333,333,333,333,333,333,360,360,360,360,360,360,360,360,360,
360,360,360,396,396,396,47520,47520,47520,333,47520,47520,47520,432,432,432,
47520,47520,47520,47520,47520,47520,432,432,432,432,432,432,432,432,432,432,
432,432,432,432,432,360,360,360,360,360,360,360,360,360,360,360,360,360,360,
360,360,360,360,396,396,396,360,360,360,360,360,360,360,360,360,360,360,360,
396,396,396,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,
333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,333,
333,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,
360,360,360,360,360,360,396,396,396,396,396,396,2640,2640,24,24,20,20,24,20,20
,22,24,24,44,44],
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ALF("3.U3(11).S3","U3(11).S3",[1,1,2,2,3,4,4,4,5,5,6,6,7,7,8,8,9,9,9,10,10,
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MOT("U3(11)",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,11,37]"
],
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[GALOIS,[37,2]]],
[(39,43)(40,44)(41,45)(42,46),(27,29,31,33,35,37,28,30,32,34,36,38),(20,21),
(15,17),(15,16),(16,17),( 7, 8)(12,13)(22,24)(23,25)(39,45,43,41)
(40,46,44,42),( 4, 5)(10,11)(18,19)(22,23)(24,25)(39,40)(41,42)(43,44)(45,46)
(47,48),( 4, 5)(10,11)(18,19)(20,21)(22,23)(24,25)(39,40)(41,42)(43,44)(45,46)
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(47,48),(27,28)(29,30)(31,32)(33,34)(35,36)(37,38),(27,38,36,34,32,30,28,37,
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ARC("U3(11)","CAS",[rec(name:="u3q11",
permchars:=(10,14,13,12)(19,27,26,23,21)(20,28,25,24,22)(31,33)(32,34)
(37,47,42,38,48,41)(39,43,40,44)(45,46),
permclasses:=(10,11)(18,21,19,20)(23,24,25)(29,30)(31,36,37,34)(32,35,38,33)
(39,40)(41,44)(42,43)(45,46),
text:=Concatenation(
" test: 1. o.r., sym 2 decompose correctly \n",
""))]);
ARC("U3(11)","projectives",["3.U3(11)",[[111,-9,0,-9,-9,3,1,1,0,1,1,1,1,-10,1,
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[GALOIS,[28,13]],
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[GALOIS,[36,21]],
[GALOIS,[36,9]],
[GALOIS,[36,14]],
[GALOIS,[36,6]],
[GALOIS,[36,7]],
[GALOIS,[36,3]],
[GALOIS,[36,17]],
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ARC("U3(11)","isSimple",true);
ARC("U3(11)","extInfo",["3","3.2"]);
ARC("U3(11)","tomfusion",rec(name:="U3(11)",map:=[1,2,3,4,4,5,7,7,8,12,12,15,
15,17,18,19,20,23,23,22,22,34,34,34,34,39,55,55,55,55,55,55,55,55,55,55,55,55,
58,58,58,58,58,58,58,58,59,59],text:=[
"fusion map is unique up to table automorphisms"
]));
ALF("U3(11)","U3(11).2",[1,2,3,4,4,5,6,7,8,9,9,10,11,12,13,14,14,15,15,16,
17,18,18,19,19,20,21,21,22,22,23,23,24,24,25,25,26,26,27,27,28,28,29,29,
30,30,31,31]);
ALF("U3(11)","U3(11).3",[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,15,15,16,17,
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]);
ALN("U3(11)",["u3q11"]);

MOT("U3(11).2",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,11,37]"
],
[141831360,10560,288,5280,96,80,80,96,40,80,80,10648,242,121,48,96,96,40,40,
88,37,37,37,37,37,37,40,40,40,40,44,2640,2640,24,24,20,20,24,20,20,22,24,24,
44,44],
[,[1,1,3,2,2,7,6,3,4,7,6,12,13,14,8,8,8,11,10,12,22,23,24,25,26,21,19,18,19,
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5,5,19,18,20,23,24,25,26,21,22,28,29,30,27,31,32,33,32,35,37,36,33,40,39,41,
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[TENSOR,[3,2]],[111,-9,3,11,-1,1,1,3,-1,1,1,-10,1,1,-1,-1,-1,1,1,2,0,0,0,0,0,
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[TENSOR,[26,2]],
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[(44,45),(27,29)(28,30),(21,22,23,24,25,26),(16,17)(42,43),(16,17)(27,29)
(28,30)(42,43),( 6, 7)(10,11)(18,19)(27,30,29,28)(36,37)(39,40),
(21,26,25,24,23,22)]);
ARC("U3(11).2","CAS",[rec(name:="psu(3,11):2",
permchars:=( 8, 9)(11,12)(13,14)(19,31,26,23,21)(22,32,29,28,30,25,36,35,37,
 33,27,24)(38,39)(41,43,44,42,45),
permclasses:=( 6, 7)(18,19)(36,37),
text:=Concatenation(
"Maximal subgroup of sporadic Janko group j4.\n",
"Test: 1.OR, JAMES, JAMES,n=3,\n",
"and restricted characters decompose properly."))]);
ALF("U3(11).2","U3(11).S3",[1,2,3,4,5,6,7,8,9,10,11,12,13,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30,76,77,78,79,80,81,82,83,84,85,86,87,88,
89]);
ALF("U3(11).2","J4",[1,2,4,5,6,8,8,10,14,17,17,19,20,20,21,22,22,30,31,34,
50,51,52,50,51,52,53,54,53,54,60,3,5,11,15,18,18,21,30,31,35,37,38,60,60],[
"fusion determined using subgroup 5x8:2 in the intersection of\n",
"U3(11).2 and J4N11, the fusion on the CAS table is wrong"
]);
ALN("U3(11).2",["psu(3,11):2"]);

MOT("U3(11).3",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,11,37]"
],
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[GALOIS,[3,7]],[1440,0,0,0,0,0,0,0,0,0,0,0,0,-12,-1,0,0,0,0,0,0,0,0,0,-3,-3,
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[GALOIS,[8,7]],[1110,-10,0,-10+20*E(4),-10-20*E(4),-2,0,0,2,0,0,0,0,21,-1,
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[GALOIS,[10,7]],[1221,21,0,21,21,-3,1,1,0,1,1,1,1,11,0,0,0,0,0,1,1,1,1,-1,0,0,
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[GALOIS,[14,7]],[1332,-12,0,12*E(4),-12*E(4),0,2,2,0,0,0,-2,-2,1,1,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(4),E(4),-E(4),-E(4)],
[GALOIS,[16,3]],[1332,12,0,12,12,0,E(5)+E(5)^4,E(5)^2+E(5)^3,0,2,2,
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[GALOIS,[18,2]],[1332,12,0,12,12,0,E(5)+E(5)^4,E(5)^2+E(5)^3,0,-2,-2,
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[GALOIS,[20,2]],[1332,12,0,-12,-12,0,E(5)+E(5)^4,E(5)^2+E(5)^3,0,2*E(4),
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-E(20)-E(20)^9,-E(20)-E(20)^9,E(20)^13+E(20)^17,E(20)^13+E(20)^17,
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[GALOIS,[22,11]],
[GALOIS,[22,13]],
[GALOIS,[22,3]],[1332,-12,0,12*E(4),-12*E(4),0,E(5)+E(5)^4,E(5)^2+E(5)^3,0,0,
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E(20)+E(20)^9,-E(20)-E(20)^9,-E(20)-E(20)^9,E(20)^13+E(20)^17,
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E(40)^7-E(40)^23,E(40)^7-E(40)^23,E(40)^21-E(40)^29,E(40)^21-E(40)^29,
E(40)^31-E(40)^39,E(40)^31-E(40)^39,E(40)^13-E(40)^37,E(40)^13-E(40)^37,
-E(40)^7+E(40)^23,-E(40)^7+E(40)^23,-E(40)^21+E(40)^29,-E(40)^21+E(40)^29,
-E(40)^31+E(40)^39,-E(40)^31+E(40)^39,E(4),E(4),-E(4),-E(4)],
[GALOIS,[26,11]],
[GALOIS,[26,13]],
[GALOIS,[26,23]],
[GALOIS,[26,9]],
[GALOIS,[26,19]],
[GALOIS,[26,33]],
[GALOIS,[26,3]],[1440,0,0,0,0,0,0,0,0,0,0,0,0,-12,-1,0,0,0,0,0,0,0,0,0,
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E(333)^119+E(333)^230-E(333)^245-E(333)^302,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0],
[GALOIS,[34,73]],
[GALOIS,[34,19]],
[GALOIS,[34,55]],
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[GALOIS,[34,43]],
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ALF("U3(11).3","U3(11).S3",[1,2,3,4,4,5,6,7,8,9,9,10,11,12,13,14,14,15,16,17,
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70,71,71,70,72,73,73,72,74,75,75,74]);

MOT("U3(11).S3",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,11,37]"
],
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74,76,77,78,79,76,76,82,77,77,85,87,86,88,89],,,,,,[1,2,3,4,5,6,7,8,9,10,11,1,
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66,67,68,69,70,71,72,73,35,36,76,77,78,79,80,81,82,83,84,76,86,87,77,77],,,,,,
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0,
[(88,89),(26,28)(27,29)(66,70)(67,71)(68,72)(69,73),(15,16)(35,36)(38,39)(40,
41)(44,45)(49,50)(51,52)(66,67)(68,69)(70,71)(72,73)(74,75)(86,87),(6,7)(10,
11)(17,18)(26,27,28,29)(42,43)(46,47)(49,51)(50,52)(66,68,70,72)(67,69,71,73)
(80,81)(83,84),(54,55)(56,57)(58,59)(60,61)(62,63)(64,65),(20,21,22,23,24,25)
(54,56,58,60,62,64,55,57,59,61,63,65)],
["ConstructGS3","U3(11).2","U3(11).3",[8,9],[[2,3],[5,6],[8,9],[10,13],[12,
14],[11,15],[18,19],[21,22],[24,25],[27,28],[29,32],[31,33],[30,34],[36,37],
[38,41],[40,42],[39,43],[45,46],[47,50],[49,51],[48,52],[54,55],[57,58],[60,
61],[63,64],[65,68],[67,69],[66,70],[71,74],[73,75],[72,76],[77,80],[79,81],
[78,82],[83,86],[85,87],[84,88],[89,92],[91,93],[90,94],[95,98],[97,99],[96,
100],[101,104],[103,105],[102,106],[107,110],[109,111],[108,112],[113,116],
[115,117],[114,118],[119,122],[121,123],[120,124],[125,128],[127,129],[126,
130],[131,134],[133,135],[132,136]],[[1,1],[4,3],[7,5],[17,11],[20,13],[23,
15],[26,17],[35,20],[44,23],[53,26],[56,28],[59,30],[62,32]],(1,13,27,53,80,
36,61,87,49,75,22,41,68,7,12,26,50,77,25,47,74,21,39,64)(2,14,29,56,83,43,69,
8,11,23,40,66,4,6,10,20,38,65)(5,9,17,33,58,84,45,70,15,28,54,79,31,57,82,42,
67)(16,32,59,86,48,73,19,34,60,85,46,72,18,35,62,89,52,78,30,55,81,37,63,88,
51,76,24,44,71)]);

MOT("U4(2)",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5]"
],
[25920,576,96,648,648,108,54,48,8,5,72,72,36,36,18,12,9,9,12,12],
[,[1,1,1,5,4,6,7,2,3,10,5,4,6,6,7,6,18,17,12,11],[1,2,3,1,1,1,1,8,9,10,2,2,2,
2,2,3,4,5,8,8],,[1,2,3,5,4,6,7,8,9,1,12,11,14,13,15,16,18,17,20,19]],
[[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[5,-3,1,E(3)-2*E(3)^2,
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-E(3)+E(3)^2,0,1,-E(3),-E(3)^2,E(3),E(3)^2],
[GALOIS,[2,2]],[6,-2,2,-3,-3,3,0,2,0,1,1,1,1,1,-2,-1,0,0,-1,-1],[10,2,-2,
5*E(3)+2*E(3)^2,2*E(3)+5*E(3)^2,1,1,2,0,0,E(3)-2*E(3)^2,-2*E(3)+E(3)^2,-1,-1,
-1,1,E(3)^2,E(3),-E(3),-E(3)^2],
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-1,0,0],[24,8,0,6,6,0,3,0,0,-1,2,2,2,2,-1,0,0,0,0,0],[30,-10,2,3,3,3,3,-2,0,0,
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-E(3)],
[GALOIS,[12,2]],[40,-8,0,2*E(3)+8*E(3)^2,8*E(3)+2*E(3)^2,-2,1,0,0,0,-2*E(3),
-2*E(3)^2,-2*E(3),-2*E(3)^2,1,0,E(3)^2,E(3),0,0],
[GALOIS,[14,2]],[45,-3,-3,-9*E(3),-9*E(3)^2,0,0,1,1,0,3*E(3),3*E(3)^2,0,0,0,0,
0,0,E(3),E(3)^2],
[GALOIS,[16,2]],[60,-4,4,6,6,-3,-3,0,0,0,2,2,-1,-1,-1,1,0,0,0,0],[64,0,0,-8,
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0,0]],
[( 4, 5)(11,12)(13,14)(17,18)(19,20)]);
ARC("U4(2)","CAS",[rec(name:="u4q2",
permchars:=(),
permclasses:=(13,14)(17,18),
text:=Concatenation(
"names:=u4q2; psu4[2], su4(2)\n",
"              2a3(2)     (lie-not.)\n",
"   order: 2^6.3^4.5 = 25,920\n",
"   number of classes: 20\n",
"   source:mckay, john\n",
"         the non-abelian simple groups g,\n",
"         ord(g)<10^6 - character tables\n",
"         comm.algebra 7\n",
"         (1979),1407-1445\n",
"   test: 1. o.r., sym 2 decompose correctly\n",
"   comments: - \n",
""))]);
ARC("U4(2)","projectives",["2.U4(2)",[[4,0,0,2*E(3)-E(3)^2,-E(3)+2*E(3)^2,-2,
1,2,0,-1,2*E(3)+E(3)^2,E(3)+2*E(3)^2,0,0,E(3)-E(3)^2,0,E(3)^2,E(3),-E(3)^2,
-E(3)],
[GALOIS,[1,2]],[20,0,0,-7,-7,2,2,2,0,0,3,3,0,0,0,0,-1,-1,-1,-1],[20,0,0,
-5*E(3)-8*E(3)^2,-8*E(3)-5*E(3)^2,2,2,2,0,0,-3*E(3),-3*E(3)^2,0,0,0,0,-E(3),
-E(3)^2,-E(3),-E(3)^2],
[GALOIS,[4,2]],[20,0,0,E(3)-5*E(3)^2,-5*E(3)+E(3)^2,-4,-1,2,0,0,-E(3)+E(3)^2,
E(3)-E(3)^2,0,0,E(3)-E(3)^2,0,-E(3)^2,-E(3),-1,-1],
[GALOIS,[6,2]],[36,0,0,9*E(3),9*E(3)^2,0,0,2,0,1,3*E(3),3*E(3)^2,0,0,0,0,0,0,
-E(3),-E(3)^2],
[GALOIS,[8,2]],[60,0,0,-3,-3,-6,0,-2,0,0,3,3,0,0,0,0,0,0,1,1],[60,0,0,
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-E(3)+E(3)^2,0,0,0,E(3),E(3)^2],
[GALOIS,[11,2]],[64,0,0,-8,-8,4,-2,0,0,-1,0,0,0,0,0,0,1,1,0,0],[80,0,0,8,8,2,
-4,0,0,0,0,0,0,0,0,0,-1,-1,0,0]],]);
ARC("U4(2)","isSimple",true);
ARC("U4(2)","extInfo",["2","2"]);
ARC("U4(2)","tomfusion",rec(name:="U4(2)",map:=[1,2,3,4,4,5,6,7,12,13,15,
15,16,16,17,20,33,33,41,41],text:=[
"fusion map is unique"
]));
ALF("U4(2)","U4(2).2",[1,2,3,4,4,5,6,7,8,9,10,10,11,11,12,13,14,14,15,15]);
ALF("U4(2)","U4(3)",[1,2,2,3,3,4,5,7,8,9,10,10,11,11,12,11,18,19,20,20],[
"fusion map is unique up to table autom."
],"tom:378");
ALN("U4(2)",["u4q2"]);

MOT("U4(2).2",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5]"
],
[51840,1152,192,648,216,108,96,16,10,72,36,36,24,9,12,1440,96,96,32,36,36,12,
8,10,12],
[,[1,1,1,4,5,6,2,3,9,4,5,6,5,14,10,1,1,3,3,5,6,6,7,9,13],[1,2,3,1,1,1,7,8,9,2,
2,2,3,4,7,16,17,18,19,16,16,17,23,24,18],,[1,2,3,4,5,6,7,8,1,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,16,25]],
[[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1],[10,-6,2,1,-2,4,2,-2,0,-3,0,0,2,1,-1,0,0,
0,0,0,0,0,0,0,0],[6,-2,2,-3,3,0,2,0,1,1,1,-2,-1,0,-1,4,0,-2,2,1,-2,0,0,-1,1],
[TENSOR,[4,2]],[20,4,-4,-7,2,2,4,0,0,1,-2,-2,2,-1,1,0,0,0,0,0,0,0,0,0,0],[15,
-1,-1,6,3,0,3,-1,0,2,-1,2,-1,0,0,5,-3,1,1,-1,2,0,-1,0,1],
[TENSOR,[7,2]],[15,7,3,-3,0,3,-1,1,0,1,-2,1,0,0,-1,5,1,3,-1,2,-1,1,-1,0,0],
[TENSOR,[9,2]],[20,4,4,2,5,-1,0,0,0,-2,1,1,1,-1,0,10,2,2,2,1,1,-1,0,0,-1],
[TENSOR,[11,2]],[24,8,0,6,0,3,0,0,-1,2,2,-1,0,0,0,4,4,0,0,-2,1,1,0,-1,0],
[TENSOR,[13,2]],[30,-10,2,3,3,3,-2,0,0,-1,-1,-1,-1,0,1,10,-2,-4,0,1,1,1,0,0,
-1],
[TENSOR,[15,2]],[60,12,4,-3,-6,0,4,0,0,-3,0,0,-2,0,1,0,0,0,0,0,0,0,0,0,0],[80,
-16,0,-10,-4,2,0,0,0,2,2,2,0,-1,0,0,0,0,0,0,0,0,0,0,0],[90,-6,-6,9,0,0,2,2,0,
-3,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0],[60,-4,4,6,-3,-3,0,0,0,2,-1,-1,1,0,0,10,2,
-2,-2,1,1,-1,0,0,1],
[TENSOR,[20,2]],[64,0,0,-8,4,-2,0,0,-1,0,0,0,0,1,0,16,0,0,0,-2,-2,0,0,1,0],
[TENSOR,[22,2]],[81,9,-3,0,0,0,-3,-1,1,0,0,0,0,0,0,9,-3,3,-1,0,0,0,1,-1,0],
[TENSOR,[24,2]]],
[]);
ARC("U4(2).2","CAS",[rec(name:="o6m2.2",
permchars:=( 3, 5, 4)( 6,12,11,10, 7, 8, 9)(17,19,25,24,23,21,18,22,20),
permclasses:=( 4, 6,12,13,11,10, 7)( 5, 9,15, 8)(20,21,24,25,22,23),
text:=Concatenation(
"names:=o6m2; pom6[2,-], w(e6)\n",
"             2d3(2)             (lie-not.)\n",
"  order: 2^7.3^4.5 = 51,840\n",
"  number of classes: 25\n",
"  source:private communication\n",
"         with gabrysch, th.\n",
"         univ. of bielefeld (1981)\n",
"  test: 1 .o.r., sym 2 decompose correctly\n",
"  comments: o6m2 is isomorhic to u4q2     \n",
"")),rec(name:="s6f2s1",
permchars:=( 2,16,20,10,23,21,25,22, 6,11, 4)( 3,15, 5,17,14,24, 7)
( 8,18,13, 9)(12,19),
permclasses:=( 2, 3)( 4,11, 7)( 5, 6, 9,15,13, 8)(10,12)(18,19)(20,21,22,23)
(24,25),
text:=Concatenation(
"names:=s6f2s1; [3..3,2,1]', [3..3,2,1]\n",
" order: 2^7.3^4.5 = 51,840\n",
" number of classes: 25\n",
" source:frame, j.s.\n",
"       the classes and representations of the groups\n",
"       of 27 lines and 28 bitangents,\n",
"       annali di mathematica 4\n",
"       [1923],83-119\n",
" comments:subgroup of index 28 in s6f2 \n",
""))]);
ARC("U4(2).2","projectives",["2.U4(2).2",[[8,0,0,-1,-4,2,4,0,-2,-3,0,0,0,-1,1,
0,0,0,0,0,0,0,0,0,0],[20,0,0,-7,2,2,2,0,0,3,0,0,0,-1,-1,0,0,2*E(8)+2*E(8)^3,0,
0,0,0,E(8)+E(8)^3,0,-E(8)-E(8)^3],[40,0,0,13,4,4,4,0,0,3,0,0,0,1,1,0,0,0,0,0,
0,0,0,0,0],[40,0,0,4,-8,-2,4,0,0,0,0,0,0,1,-2,0,0,0,0,0,0,0,0,0,0],[72,0,0,-9,
0,0,4,0,2,-3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[60,0,0,-3,-6,0,-2,0,0,3,0,0,0,0,
1,0,0,2*E(8)+2*E(8)^3,0,0,0,0,-E(8)-E(8)^3,0,-E(8)-E(8)^3],[120,0,0,3,0,6,-4,
0,0,-3,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0],[64,0,0,-8,4,-2,0,0,-1,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,E(20)+E(20)^9-E(20)^13-E(20)^17,0],[80,0,0,8,2,-4,0,0,0,0,0,0,0,
-1,0,0,0,4*E(8)+4*E(8)^3,0,0,0,0,0,0,E(8)+E(8)^3]],]);
ARC("U4(2).2","tomfusion",rec(name:="U4(2).2",map:=[1,3,4,6,7,8,13,19,23,26,
34,33,35,73,89,2,5,11,18,32,27,38,60,74,83],text:=[
"fusion map is unique"
]));
ALF("U4(2).2","L4(3)",[1,3,2,4,5,6,9,10,11,14,15,16,12,18,23,2,3,8,10,12,
13,16,17,20,21],[
"fusion map is unique up to table autom."
],"tom:814");
ALF("U4(2).2","S4xU4(2).2",[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],[
"fusion map determined as that of a direct factor"
]);
ALF("U4(2).2","S6(2)",[1,3,4,7,6,8,9,13,14,17,16,20,18,25,29,2,5,10,11,15,
19,21,23,26,27],[
"fusion map is unique"
]);
ALF("U4(2).2","U4(3).2_1",[1,2,2,3,4,5,7,8,9,10,11,12,11,17,18,20,20,21,
22,24,25,25,27,28,31],[
"fusion map is unique up to table autom."
],"tom:980");
ALN("U4(2).2",["w(e6)","o6m2.2","s6f2s1"]);

MOT("U5(2)",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,11]"
],
[13685760,82944,4608,77760,77760,3888,3888,1944,324,1152,384,96,15,1728,1728,
1296,1296,432,432,288,288,216,144,144,108,108,36,16,54,54,27,27,11,11,144,144,
72,72,36,24,24,24,24,15,15,18,18],
[,[1,1,1,5,4,7,6,8,9,2,2,3,13,5,4,7,6,7,6,5,4,8,7,6,9,9,9,11,30,29,32,31,34,
33,15,14,19,18,22,21,20,19,18,45,44,30,29],[1,2,3,1,1,1,1,1,1,10,11,12,13,2,2,
2,2,2,2,3,3,2,3,3,2,2,3,28,6,7,6,7,33,34,10,10,10,10,10,12,12,11,11,13,13,16,
17],,[1,2,3,5,4,7,6,8,9,10,11,12,1,15,14,17,16,19,18,21,20,22,24,23,26,25,27,
28,30,29,32,31,33,34,36,35,38,37,39,41,40,43,42,4,5,47,46],,,,,,[1,2,3,5,4,7,
6,8,9,10,11,12,13,15,14,17,16,19,18,21,20,22,24,23,26,25,27,28,30,29,32,31,1,
1,36,35,38,37,39,41,40,43,42,45,44,47,46]],
[[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[10,-6,2,-5,-5,1,1,4,-2,2,-2,-2,0,3,3,3,3,-3,-3,-1,-1,0,-1,
-1,0,0,2,0,-2,-2,1,1,-1,-1,-1,-1,-1,-1,2,1,1,1,1,0,0,0,0],[11,-5,3,
-5*E(3)+E(3)^2,E(3)-5*E(3)^2,4*E(3)+E(3)^2,E(3)+4*E(3)^2,2,2,3,-1,-1,1,
3*E(3)+E(3)^2,E(3)+3*E(3)^2,2*E(3)-E(3)^2,-E(3)+2*E(3)^2,E(3)^2,E(3),
-E(3)+E(3)^2,E(3)-E(3)^2,-2,-2*E(3)-E(3)^2,-E(3)-2*E(3)^2,-2*E(3)^2,-2*E(3),0,
1,-E(3),-E(3)^2,-E(3),-E(3)^2,0,0,-E(3)+E(3)^2,E(3)-E(3)^2,2*E(3)+E(3)^2,
E(3)+2*E(3)^2,0,-1,-1,-E(3)^2,-E(3),E(3),E(3)^2,E(3),E(3)^2],
[GALOIS,[3,2]],[44,12,-4,14,14,-1,-1,5,2,4,4,0,-1,6,6,3,3,3,3,2,2,-3,-1,-1,0,
0,2,0,2,2,-1,-1,0,0,-2,-2,1,1,1,0,0,1,1,-1,-1,0,0],[55,23,7,10,10,1,1,10,1,-1,
-1,3,0,2,2,5,5,5,5,-2,-2,2,1,1,-1,-1,1,-1,1,1,1,1,0,0,2,2,-1,-1,2,0,0,-1,-1,0,
0,-1,-1],[55,7,-1,5*E(3)+20*E(3)^2,20*E(3)+5*E(3)^2,-4*E(3)+2*E(3)^2,
2*E(3)-4*E(3)^2,1,1,7,3,-1,0,-3*E(3)+4*E(3)^2,4*E(3)-3*E(3)^2,-2,-2,-2*E(3)^2,
-2*E(3),E(3)+4*E(3)^2,4*E(3)+E(3)^2,1,2,2,3*E(3)+E(3)^2,E(3)+3*E(3)^2,-1,1,
E(3)^2,E(3),E(3)^2,E(3),0,0,E(3),E(3)^2,-2*E(3),-2*E(3)^2,1,-E(3),-E(3)^2,0,0,
0,0,E(3)^2,E(3)],
[GALOIS,[7,2]],[66,18,10,6*E(3)+15*E(3)^2,15*E(3)+6*E(3)^2,-3*E(3)+6*E(3)^2,
6*E(3)-3*E(3)^2,3,3,2,-2,2,1,-2*E(3)-E(3)^2,-E(3)-2*E(3)^2,3*E(3)+6*E(3)^2,
6*E(3)+3*E(3)^2,E(3)+2*E(3)^2,2*E(3)+E(3)^2,2*E(3)-E(3)^2,-E(3)+2*E(3)^2,3,
-E(3)+2*E(3)^2,2*E(3)-E(3)^2,E(3)-E(3)^2,-E(3)+E(3)^2,1,0,0,0,0,0,0,0,
2*E(3)+3*E(3)^2,3*E(3)+2*E(3)^2,-E(3),-E(3)^2,-1,-E(3)^2,-E(3),E(3),E(3)^2,
E(3)^2,E(3),0,0],
[GALOIS,[9,2]],[110,-2,-10,-25,-25,2,2,2,2,6,-6,2,0,7,7,-2,-2,-2,-2,-1,-1,-2,
2,2,-2,-2,2,0,-1,-1,-1,-1,0,0,3,3,0,0,0,-1,-1,0,0,0,0,1,1],[110,30,6,
-5*E(3)+25*E(3)^2,25*E(3)-5*E(3)^2,E(3)+4*E(3)^2,4*E(3)+E(3)^2,8,-4,6,2,2,0,
3*E(3)+9*E(3)^2,9*E(3)+3*E(3)^2,-3*E(3)+6*E(3)^2,6*E(3)-3*E(3)^2,-3*E(3),
-3*E(3)^2,-E(3)+E(3)^2,E(3)-E(3)^2,0,E(3)+2*E(3)^2,2*E(3)+E(3)^2,0,0,0,0,
2*E(3)^2,2*E(3),-E(3)^2,-E(3),0,0,-E(3)+E(3)^2,E(3)-E(3)^2,-E(3)-2*E(3)^2,
-2*E(3)-E(3)^2,0,-1,-1,-E(3),-E(3)^2,0,0,0,0],
[GALOIS,[12,2]],[110,-34,6,-5*E(3)+10*E(3)^2,10*E(3)-5*E(3)^2,-5*E(3)+E(3)^2,
E(3)-5*E(3)^2,11,2,-2,2,-2,0,3*E(3)+2*E(3)^2,2*E(3)+3*E(3)^2,E(3)-5*E(3)^2,
-5*E(3)+E(3)^2,3*E(3)+5*E(3)^2,5*E(3)+3*E(3)^2,-E(3)-2*E(3)^2,-2*E(3)-E(3)^2,
-1,E(3)-E(3)^2,-E(3)+E(3)^2,2*E(3)^2,2*E(3),0,0,-E(3),-E(3)^2,-E(3),-E(3)^2,0,
0,-E(3)+2*E(3)^2,2*E(3)-E(3)^2,1,1,1,E(3),E(3)^2,-1,-1,0,0,-E(3),-E(3)^2],
[GALOIS,[14,2]],[120,24,8,30,30,12,12,3,3,8,0,0,0,6,6,6,6,0,0,2,2,3,2,2,3,3,
-1,0,0,0,0,0,-1,-1,2,2,2,2,-1,0,0,0,0,0,0,0,0],[165,-27,5,30,30,3,3,3,-6,5,5,
-3,0,6,6,-9,-9,3,3,2,2,3,-1,-1,0,0,2,1,0,0,0,0,0,0,2,2,-1,-1,-1,0,0,-1,-1,0,0,
0,0],[176,-16,16,-4,-4,14,14,-4,5,0,0,0,1,-4,-4,2,2,2,2,4,4,-4,-2,-2,-1,-1,1,
0,-1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,1,1,-1,-1],[220,-36,-4,-10*E(3)-40*E(3)^2,
-40*E(3)-10*E(3)^2,-7*E(3)-10*E(3)^2,-10*E(3)-7*E(3)^2,7,1,4,-4,0,0,
-2*E(3)+8*E(3)^2,8*E(3)-2*E(3)^2,3*E(3)+6*E(3)^2,6*E(3)+3*E(3)^2,
E(3)+2*E(3)^2,2*E(3)+E(3)^2,2*E(3),2*E(3)^2,3,3*E(3)+2*E(3)^2,2*E(3)+3*E(3)^2,
E(3)-E(3)^2,-E(3)+E(3)^2,-1,0,-2*E(3)^2,-2*E(3),E(3)^2,E(3),0,0,-2*E(3),
-2*E(3)^2,E(3),E(3)^2,1,0,0,-E(3),-E(3)^2,0,0,0,0],
[GALOIS,[19,2]],[220,-4,12,20*E(3)-10*E(3)^2,-10*E(3)+20*E(3)^2,
2*E(3)+17*E(3)^2,17*E(3)+2*E(3)^2,-5,4,4,4,0,0,4*E(3)-2*E(3)^2,
-2*E(3)+4*E(3)^2,-2*E(3)+E(3)^2,E(3)-2*E(3)^2,-2*E(3)+E(3)^2,E(3)-2*E(3)^2,
4*E(3)+2*E(3)^2,2*E(3)+4*E(3)^2,-1,2*E(3)+E(3)^2,E(3)+2*E(3)^2,2,2,0,0,E(3)^2,
E(3),E(3)^2,E(3),0,0,-2*E(3)^2,-2*E(3),E(3)^2,E(3),1,0,0,E(3)^2,E(3),0,0,
-E(3)^2,-E(3)],
[GALOIS,[21,2]],[264,-24,-8,-30*E(3)+24*E(3)^2,24*E(3)-30*E(3)^2,-6,-6,3,3,8,
0,0,-1,10*E(3)+8*E(3)^2,8*E(3)+10*E(3)^2,-6*E(3)^2,-6*E(3),-2*E(3)+2*E(3)^2,
2*E(3)-2*E(3)^2,-2*E(3),-2*E(3)^2,3,-2*E(3)^2,-2*E(3),E(3)-E(3)^2,
-E(3)+E(3)^2,1,0,0,0,0,0,0,0,2*E(3),2*E(3)^2,2*E(3),2*E(3)^2,-1,0,0,0,0,-E(3),
-E(3)^2,0,0],
[GALOIS,[23,2]],[320,-64,0,-40,-40,-4,-4,14,-4,0,0,0,0,8,8,8,8,-4,-4,0,0,2,0,
0,2,2,0,0,-1,-1,-1,-1,1,1,0,0,0,0,0,0,0,0,0,0,0,-1,-1],[330,-6,2,
-15*E(3)-60*E(3)^2,-60*E(3)-15*E(3)^2,3*E(3)+12*E(3)^2,12*E(3)+3*E(3)^2,-3,-3,
10,-2,2,0,-7*E(3)+4*E(3)^2,4*E(3)-7*E(3)^2,3*E(3),3*E(3)^2,-E(3)+4*E(3)^2,
4*E(3)-E(3)^2,-3*E(3)-4*E(3)^2,-4*E(3)-3*E(3)^2,-3,-E(3),-E(3)^2,-E(3)+E(3)^2,
E(3)-E(3)^2,-1,0,0,0,0,0,0,0,E(3),E(3)^2,E(3),E(3)^2,1,-E(3),-E(3)^2,E(3),
E(3)^2,0,0,0,0],
[GALOIS,[26,2]],[440,88,8,-10,-10,8,8,17,-1,-8,0,0,0,-2,-2,-2,-2,4,4,2,2,1,2,
2,1,1,-1,0,-1,-1,-1,-1,0,0,-2,-2,-2,-2,1,0,0,0,0,0,0,1,1],[440,-40,8,
70*E(3)+40*E(3)^2,40*E(3)+70*E(3)^2,-2*E(3)-14*E(3)^2,-14*E(3)-2*E(3)^2,-1,-1,
8,0,0,0,-2*E(3)-8*E(3)^2,-8*E(3)-2*E(3)^2,-8*E(3)-2*E(3)^2,-2*E(3)-8*E(3)^2,2,
2,2*E(3),2*E(3)^2,-1,2*E(3)^2,2*E(3),-1,-1,-1,0,-E(3),-E(3)^2,-E(3),-E(3)^2,0,
0,2*E(3),2*E(3)^2,2*E(3),2*E(3)^2,-1,0,0,0,0,0,0,-E(3),-E(3)^2],
[GALOIS,[29,2]],[495,-81,15,-45*E(3),-45*E(3)^2,9*E(3),9*E(3)^2,9,0,-1,-1,-1,
0,3*E(3),3*E(3)^2,9*E(3),9*E(3)^2,-3*E(3),-3*E(3)^2,3*E(3),3*E(3)^2,-3,
-3*E(3),-3*E(3)^2,0,0,0,-1,0,0,0,0,0,0,-E(3),-E(3)^2,-E(3),-E(3)^2,-1,-E(3),
-E(3)^2,-E(3),-E(3)^2,0,0,0,0],
[GALOIS,[31,2]],[495,63,-9,-45*E(3)^2,-45*E(3),9*E(3)^2,9*E(3),9,0,-1,-5,-1,0,
3*E(3)^2,3*E(3),-9*E(3)^2,-9*E(3),-3*E(3)^2,-3*E(3),3*E(3)^2,3*E(3),-3,
3*E(3)^2,3*E(3),0,0,0,1,0,0,0,0,0,0,-E(3)^2,-E(3),-E(3)^2,-E(3),-1,-E(3)^2,
-E(3),E(3)^2,E(3),0,0,0,0],
[GALOIS,[33,2]],[660,84,20,30,30,-15,-15,3,3,-4,4,0,0,6,6,3,3,-3,-3,2,2,3,-1,
-1,-3,-3,-1,0,0,0,0,0,0,0,2,2,-1,-1,-1,0,0,1,1,0,0,0,0],[704,64,0,
40*E(3)+64*E(3)^2,64*E(3)+40*E(3)^2,4*E(3)-8*E(3)^2,-8*E(3)+4*E(3)^2,2,2,0,0,
0,-1,-8*E(3),-8*E(3)^2,-8,-8,4*E(3),4*E(3)^2,0,0,-2,0,0,-2*E(3),-2*E(3)^2,0,0,
-E(3),-E(3)^2,-E(3),-E(3)^2,0,0,0,0,0,0,0,0,0,0,0,-E(3),-E(3)^2,E(3),E(3)^2],
[GALOIS,[36,2]],[880,48,16,20*E(3)-40*E(3)^2,-40*E(3)+20*E(3)^2,
-4*E(3)-10*E(3)^2,-10*E(3)-4*E(3)^2,-8,-5,0,0,0,0,4*E(3)+8*E(3)^2,
8*E(3)+4*E(3)^2,-6*E(3)^2,-6*E(3),4*E(3)+2*E(3)^2,2*E(3)+4*E(3)^2,4*E(3),
4*E(3)^2,0,-2*E(3)^2,-2*E(3),E(3)-E(3)^2,-E(3)+E(3)^2,1,0,-2*E(3),-2*E(3)^2,
E(3),E(3)^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[GALOIS,[38,2]],[891,27,-21,81,81,0,0,0,0,3,3,-1,1,9,9,0,0,0,0,-3,-3,0,0,0,0,
0,0,-1,0,0,0,0,0,0,-3,-3,0,0,0,-1,-1,0,0,1,1,0,0],[891,27,-21,81*E(3),
81*E(3)^2,0,0,0,0,3,3,-1,1,9*E(3),9*E(3)^2,0,0,0,0,-3*E(3),-3*E(3)^2,0,0,0,0,
0,0,-1,0,0,0,0,0,0,-3*E(3),-3*E(3)^2,0,0,0,-E(3),-E(3)^2,0,0,E(3)^2,E(3),0,0],
[GALOIS,[41,2]],[990,-18,6,45*E(3),45*E(3)^2,18*E(3),18*E(3)^2,-9,0,-2,-6,-2,
0,-3*E(3),-3*E(3)^2,0,0,-6*E(3),-6*E(3)^2,-3*E(3),-3*E(3)^2,3,0,0,0,0,0,0,0,0,
0,0,0,0,E(3),E(3)^2,-2*E(3),-2*E(3)^2,1,E(3),E(3)^2,0,0,0,0,0,0],
[GALOIS,[43,2]],[1024,0,0,64,64,16,16,-8,4,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-2,-2,1,1,1,1,0,0,0,0,0,0,0,0,0,-1,-1,0,0],[1215,-81,-9,0,0,0,0,0,0,-9,3,
3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,E(11)+E(11)^3+E(11)^4+E(11)^5
 +E(11)^9,E(11)^2+E(11)^6+E(11)^7+E(11)^8+E(11)^10,0,0,0,0,0,0,0,0,0,0,0,0,0],
[GALOIS,[46,2]]],
[(33,34),( 4, 5)( 6, 7)(14,15)(16,17)(18,19)(20,21)(23,24)(25,26)(29,30)
(31,32)(35,36)(37,38)(40,41)(42,43)(44,45)(46,47)]);
ARC("U5(2)","CAS",[rec(name:="u5q2",
permchars:=( 6, 8)(12,14)(19,21)(23,24)(32,34)(40,42,41)(43,44),
permclasses:=( 4, 8,30,38,27,33,46,39,32,42,28, 7,19,23,24,25,34,47,40,16,20,
 12, 6,18,22,31,41,17,21,13,43,29,37,26,35,14,10)( 5, 9,36,15,11),
text:=Concatenation(
"names:u5q2; psu5[2], su5(2)\n",
"2a4(2)     (lie-not.)\n",
"order: 2^10.3^5.5.11 = 13,685,760\n",
"number of classes: 47\n",
"source:hunt, d.c.\n",
"character tables of certain finite simple groups,\n",
"bull.austral.math.soc 5\n",
"(1971),1-42\n",
"text: 1. o.r., sym 2 decompose correctly\n",
"comments: - \n",
""))]);
ARC("U5(2)","maxes",["2^{1+6}:3^{1+2}:2A4","3xU4(2)","2^(4+4):(3xA5)",
"3^4:S5","S3x3^(1+2)+:2A4","L2(11)"]);
ARC("U5(2)","isSimple",true);
ARC("U5(2)","extInfo",["","2"]);
ARC("U5(2)","tomfusion",rec(name:="U5(2)",map:=[1,2,3,4,4,5,5,6,7,12,14,13,15,
19,19,20,20,24,24,22,22,21,23,23,25,25,26,41,49,49,50,50,52,52,65,65,66,66,67,
69,69,68,68,72,72,116,116],text:=[
"fusion map is unique"
]));
ALF("U5(2)","U5(2).2",[1,2,3,4,4,5,5,6,7,8,9,10,11,12,12,13,13,14,14,15,
15,16,17,17,18,18,19,20,21,21,22,22,23,23,24,24,25,25,26,27,27,28,28,29,
29,30,30]);
ALF("U5(2)","Suz",[1,2,2,4,4,5,5,5,5,7,8,9,12,13,13,14,15,16,16,13,13,16,
15,14,15,14,16,20,22,23,22,23,26,26,27,27,28,28,28,29,29,31,31,37,37,38,
39],[
"fusion is unique up to table automorphisms,\n",
"the representative is equal to the fusion map on the CAS table"
]);
ALF("U5(2)","U6(2)",[1,2,3,5,5,6,6,5,7,8,9,13,15,18,18,16,17,17,16,20,20,
18,19,19,21,21,22,25,29,30,29,30,33,34,37,37,36,35,37,43,43,39,38,44,44,
45,46],[
"fusion map is unique up to table automorphisms"
]);
ALN("U5(2)",["u5q2"]);

MOT("U5(2).2",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,11]"
],
[27371520,165888,9216,77760,3888,3888,648,2304,768,192,30,1728,1296,432,288,
432,144,108,72,32,54,27,11,144,72,72,24,24,15,18,1440,96,36,36,192,192,32,10,
12,16,16,24,24],
[,[1,1,1,4,5,6,7,2,2,3,11,4,5,5,4,6,5,7,7,9,21,22,23,12,14,16,15,14,29,21,1,3,
6,7,8,8,8,11,19,20,20,26,26],[1,2,3,1,1,1,1,8,9,10,11,2,2,2,3,2,3,2,3,20,5,5,
23,8,8,8,10,9,11,13,31,32,31,31,35,36,37,38,32,40,41,35,36],,[1,2,3,4,5,6,7,8,
9,10,1,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,4,30,31,32,33,34,36,
35,37,31,39,41,40,43,42],,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,1,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43]],
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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,
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0,-2,1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0],[44,12,-4,14,-1,5,2,4,4,0,-1,6,3,3,2,
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[TENSOR,[8,2]],[110,14,-2,-25,2,2,2,14,6,-2,0,-1,-4,2,-5,2,4,-4,-2,2,-1,-1,0,
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0,3,0,-2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[220,-68,12,-5,4,22,4,-4,4,-4,0,-5,
4,-8,3,-2,0,-2,0,0,1,1,0,-1,2,2,-1,-2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[120,24,
8,30,12,3,3,8,0,0,0,6,6,0,2,3,2,3,-1,0,0,0,-1,2,2,-1,0,0,0,0,10,2,1,1,2,2,2,0,
-1,0,0,-1,-1],
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0,2,-1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[440,-8,24,-10,-19,-10,8,8,8,0,0,
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0,0,0,0,0,0,0,0,0,0],[320,-64,0,-40,-4,14,-4,0,0,0,0,8,8,-4,0,2,0,2,0,0,-1,-1,
1,0,0,0,0,0,0,-1,0,0,0,0,4*E(8)+4*E(8)^3,-4*E(8)-4*E(8)^3,0,0,0,0,0,
E(8)+E(8)^3,-E(8)-E(8)^3],
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1,0,-2,-2,-2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[990,-162,30,45,-9,18,0,-2,-2,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0],[660,84,20,30,-15,3,3,-4,4,0,0,6,3,-3,2,3,-1,-3,
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0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0],[1760,96,32,20,14,-16,-10,0,0,0,0,-12,
6,-6,-4,0,2,0,2,0,2,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[891,27,-21,
81,0,0,0,3,3,-1,1,9,0,0,-3,0,0,0,0,-1,0,0,0,-3,0,0,-1,0,1,0,9,-3,0,0,-3,-3,1,
-1,0,1,1,0,0],
[TENSOR,[37,2]],[1782,54,-42,-81,0,0,0,6,6,-2,2,-9,0,0,3,0,0,0,0,-2,0,0,0,3,0,
0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1980,-36,12,-45,-18,-18,0,-4,-12,-4,0,
3,0,6,3,6,0,0,0,0,0,0,0,-1,2,2,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1024,0,0,
64,16,-8,4,0,0,0,-1,0,0,0,0,0,0,0,0,0,-2,1,1,0,0,0,0,0,-1,0,16,0,-2,-2,0,0,0,
1,0,0,0,0,0],
[TENSOR,[41,2]],[2430,-162,-18,0,0,0,0,-18,6,6,0,0,0,0,0,0,0,0,0,2,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],
[(35,36)(40,41)(42,43)]);
ALF("U5(2).2","Suz.2",[1,2,2,4,5,5,5,7,8,9,12,13,14,15,13,15,14,14,15,19,
21,21,24,25,26,26,27,29,33,34,39,40,43,43,48,48,49,53,55,58,58,63,63],[
"fusion map is unique"
]);

LIBTABLE.LOADSTATUS.ctounit3:="userloaded";
ALN:= NotifyCharTableName;

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