/* www-ATLAS of Group Representations. M12:2 represented as 66 x 66 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,66,[ "040000000000000000000000000000000000000000000000000000000000000000", "400000000000000000000000000000000000000000000000000000000000000000", "000400000000000000000000000000000000000000000000000000000000000000", "004000000000000000000000000000000000000000000000000000000000000000", "000004000000000000000000000000000000000000000000000000000000000000", "000040000000000000000000000000000000000000000000000000000000000000", "000000004000000000000000000000000000000000000000000000000000000000", "000000000400000000000000000000000000000000000000000000000000000000", "000000400000000000000000000000000000000000000000000000000000000000", "000000040000000000000000000000000000000000000000000000000000000000", "000000000000040000000000000000000000000000000000000000000000000000", "000000000000004000000000000000000000000000000000000000000000000000", "000000000000000040000000000000000000000000000000000000000000000000", "000000000040000000000000000000000000000000000000000000000000000000", "000000000004000000000000000000000000000000000000000000000000000000", "000000000000000000004000000000000000000000000000000000000000000000", "000000000000400000000000000000000000000000000000000000000000000000", "000000000000000000000040000000000000000000000000000000000000000000", "000000000000000000000004000000000000000000000000000000000000000000", "000000000000000000000000040000000000000000000000000000000000000000", "000000000000000400000000000000000000000000000000000000000000000000", "000000000000000000000000000040000000000000000000000000000000000000", "000000000000000004000000000000000000000000000000000000000000000000", "000000000000000000400000000000000000000000000000000000000000000000", "000000000000000000000000000000004000000000000000000000000000000000", "000000000000000000040000000000000000000000000000000000000000000000", "000000000000000000000000000000000040000000000000000000000000000000", "000000000000000000000000000000000004000000000000000000000000000000", "000000000000000000000400000000000000000000000000000000000000000000", "000000000000000000000000000000000000004000000000000000000000000000", "000000000000000000000000000000000000000400000000000000000000000000", "000000000000000000000000000000000000000004000000000000000000000000", "000000000000000000000000400000000000000000000000000000000000000000", "000000000000000000000000000000000000000000040000000000000000000000", "000000000000000000000000004000000000000000000000000000000000000000", "000000000000000000000000000400000000000000000000000000000000000000", "441310004000300000003100000000000000010000000000000000000000000000", "443101400000000330000000000010000000100000000000000000000000000000", "000000000000000000000000000004000000000000000000000000000000000000", "000000000000000000000000000000400000000000000000000000000000000000", "000000000000000000000000000000000000000000000000004000000000000000", "000000000000000000000000000000040000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000040000000000000", "000000000000000000000000000000000400000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000400000000000", "000000000000000000000000000000000000000000000000000000040000000000", "000000000000000000000000000000000000000000000000000000000400000000", "003300101000000003000030000001000000001000000001000000000000000000", "220000000000000000300003000000100000000100000000100000000000000000", "222244040400000000030000030000010000000001000000010000000000000000", "000000000000000000000000000000000000000040000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000004000", "000000000000000000000000000000000000000000400000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000004", "000000000000000000000000000000000000000000004000000000000000000000", "000000000000000000000000000000000000000000000400000000000000000000", "142030024023110312414233432032441133442114012010004001444130002331", "000000000000000000000000000000000000000000000040000000000000000000", "342223320101103002144120410112110042203444331144413424010144412400", "314122300343430034032104003303212141213401110330003213223331004333", "340142100442244020233201302242434013433211233214410212220334010403", "110140144221044312113402044310332413331231321034411024124024424340", "000000000000000000000000000000000000000000000000000400000000000000", "123040303142421401030133320004102021014000002340001000111410004210", "202020023223042102311001300012303443341112214411141030114411143004", "000000000000000000000000000000000000000000000000000004000000000000"]); y:=CambridgeMatrix(1,F,66,[ "001000000000000000000000000000000000000000000000000000000000000000", "244000000000000000000000000000000000000000000000000000000000000000", "341000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000000010000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000100000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000000", "000000000000000000000000000000000000000000100000000000000000000000", "241410003002000000001000000400001000000000000000000000000000000000", "000000000000000000000000000000000000000000001000000000000000000000", "000000000000000000000000000000000000000000000100000000000000000000", "000000000000000000000000000000000000000000000010000000000000000000", "000000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000001000000000000000000", "000000000000000000000000000000000000000000000000100000000000000000", "000000000000000000000000000000000000000000000000010000000000000000", "000000000000000000000010000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000100000000000000", "000000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000001000000000000", "000000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000001000000000", "000000000000000000000000000000000000000000000000000000000010000000", "000000000000000000000000000010000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000001000000", "000000000000000000000000000000000000000000000000000000000000100000", "000000000000000000000000000000000000000000000000000000000000010000", "000000000000000000000000000000000000000000000000000000000000000100", "000000000000000000000000000000000000000000000000000000000000000010", "200213231312121400034202101401221031224312002120001342330204143002", "413230004001030000200030000000200000000000000000000000100000000000", "330111242433014224442302210343224424223334332340404011402103420111", "000000000000000000000000000000000010000000000000000000000000000000", "420344102344114041143034422112220114433240404134310114003100421020", "000000000000000000000000000000000001000000000000000000000000000000", "000000000000000000000000000000000000001000000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000000", "442120233032440143143322123023111422413441043040001004111420003224", "200312012203102200223224024031344023431204440320002400442134041221", "000000000000000000000000000000000000000001000000000000000000000000", "312440340413340331202304144204013034100004010444010004003001041400", "420123223033203224433201011424142013034444220000403412441133421002"]); G:=MatrixGroup<66,F|x,y>; print "Group G is M12:2 < GL(66,GF(5))";