/* www-ATLAS of Group Representations. 2.J2.2 represented as 72 x 72 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,72,[ "010000000000000000000000000000000000000000000000000000000000000000000000", "200000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000", "002000000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000", "000020000000000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000", "000002000000000000000000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000000000", 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"000121111200210112120220010202100000001221100111001121101110120201111002", "000000000000000000000000000000000200000000000000000000000000000000000000", "100012022201121201211022220100122222100211022012202101000021121011202111", "100102110000222112200201212011012021100221002001020110212010202120201200", "022222122200112100011101021121011001212122011120011020021101202201012010", "000000000000000000000000000000000000200000000000000000000000000000000000", "102211121000001202201121101222201220122002022020221202121201122101202210", "000000000000000000000000000000000000020000000000000000000000000000000000", "102100001022010210020101101011120122000010212021112202201101221110112110", "110002102012202011000022110200210221202201110000120022002222120021202112", "000000000000000000000000000000000000000200000000000000000000000000000000", "000000000000000000000000000000000000000020000000000000000000000000000000", "202210011122002012011102221200200211100210110220222211200100011101210012", "110021100022220100101201012101021222022021022211121022011000211201010122", "000000000000000000000000000000000000000000200000000000000000000000000000", "002001001010022021022221212201100000112102210121011211222012201100200002", "110000011122111212111200122201212111221011022111020220021221212112100020", "000000000000000000000000000000000000000000002000000000000000000000000000", "112220110111101001110021000002120112002000102100022000111201101220210211", "000000000000000000000000000000000000000000000200000000000000000000000000", "212210012012020002001220010120010022001121122021201111122010121110210000", "000000000000000000000000000000000000000000000002000000000000000000000000"]); y:=CambridgeMatrix(1,F,72,[ "001000000000000000000000000000000000000000000000000000000000000000000000", "022000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000", 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"000000000000000000000000010000000000000000000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000000000100000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000000000000", "000000000000000000000000000000000000000000100000000000000000000000000000", "000000000000000000000000000000000000000000001000000000000000000000000000", 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"212210001102221011101222211122022010101000211110012101200022102221201221", "011022122210021001222020201200022000222012211222022201102001010101110201", "122002211120101121101010220002200211001100021121202012221202112220111101", "002100011110011220100221002001112200112112201021002202221010001102011220", "021221121202201010021102102010101000202011212011112010111210202220102212", "212212210120122200202221220100222220000101010200200020110022002210221022", "210122121111111002221110002021201200012101022102112121012110120112011120", "012222200011020222110102122210021120022111222111221110101200112210111201", "201202121222010101002000012012001001200222011121222001222211002002102012", "002210120002120220021120112101200012010110220201222222011210002012200112", "000000000001000000000000000000000000000000000000000000000000000000000000", "021021122012112101022002221022211011110020021211021122200200200121201201", "112011122201121100010021210210210212200002200220201102122100110212100112", "102201100100222012212211101011110011100110201011120111200002100001201000", "100101012100021002111000201221212111202002122222121111221022112200120111", "212210220020001122202101200220200020001100021102212111102212211200000121", "210022102111121022221100201221010111111200021001210222000022200010022212"]); G:=MatrixGroup<72,F|x,y>; print "Group G is 2.J2.2 < GL(72,GF(3))";