/* www-ATLAS of Group Representations. G2(4) represented as 64 x 64 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,64,[ "0100000000000000000000000000000000000000000000000000000000000000", "1000000000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000", "0010000000000000000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000", "0000000000000000000000001000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000", "0000000000000000000000000010000000000000000000000000000000000000", "0000000000000000000000000000100000000000000000000000000000000000", "0000000000000000000000000000001000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000", "0000000000000000000000000000000001000000000000000000000000000000", "0000000000000000000000000000000000010000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000010000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000010000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000010000000000000000000", "0000000000000000000010000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000010000000000000000", "0000000000000000000000000000000000000000000000000100000000000000", "0000000000000000000000100000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000100000000000", "0000000000000000000000010000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000100000000", "0000000000000000000000000000000000000000000000000000000001000000", "0000000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000001000", "0000000000000000000000000000000000000000000000000000000000000010", "0000000000000000000000000001000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000001", "2100200122010201001110221011012011122120011221102221211202102110", "0000000000000000000000000000010000000000000000000000000000000000", "0210102022121202222010202021212212200110112110011220211012212202", "1001111210112121102220000200111022200010120201020012001220211101", "0000000000000000000000000000000100000000000000000000000000000000", "2002110112222100022122221201110211021100200212222010112200110001", "0000000000000000000000000000000010000000000000000000000000000000", "2000111002111021010021012020120220210020011012011112202100012102", "2202112010121110111222112002011201000101011201122122010002121000", "0000000000000000000000000000000000100000000000000000000000000000", "0121102110002002220001200101200210201111111122011201121101122210", "1011212022102212202110011102222112000022022102101012100212122101", "0000000000000000000000000000000000001000000000000000000000000000", "1020112120222121220011222211000101100120222010011212210121212110", "0000000000000000000000000000000000000100000000000000000000000000", "0220211111011220100010010011000112011210101001102001122222211121", "1100022021122201120110010110202121002001201101010001220022112122", "0000000000000000000000000000000000000001000000000000000000000000", "1110220121112221201020102220001220122110001101001011220201221110", "0000000000000000000000000000000000000000100000000000000000000000", "0000000000000000000000000000000000000000001000000000000000000000"]); y:=CambridgeMatrix(1,F,64,[ "0010000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000", "2220120120100000000000000000000000000000000000000000000000000000", "0220220020000000000000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000", "0000000000000000000010000000000000000000000000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000000", "0000000000000000000000010000000000000000000000000000000000000000", "1000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000000001000000000000000000000000000000000000", "0000000000000000000000000000010000000000000000000000000000000000", "0000000000000000000000000000000100000000000000000000000000000000", "0000000000000000000000000000000010000000000000000000000000000000", "0000000000000000000000000000000000100000000000000000000000000000", "0000000000000000000000000000000000001000000000000000000000000000", "0000000000000000000000000000000000000100000000000000000000000000", "0000000000000000000000000000000000000001000000000000000000000000", "0000000000000000000000000000000000000000100000000000000000000000", "0000000000000000000000000000000000000000001000000000000000000000", "0000000000000000000000000000000000000000000100000000000000000000", "0000000000000000000000000000000000000000000001000000000000000000", "0000000000000000000000000000000000000000000000100000000000000000", "0000000000000000000000000000000000000000000000001000000000000000", "0000000000000000000000000000000000000000000000000010000000000000", "0000000000000000000000000000000000000000000000000001000000000000", "0000000000000000000000000000000000000000000000000000010000000000", "0000000000000000000000000000000000000000000000000000001000000000", "0000000000000000000000000000000000000000000000000000000010000000", "0000000000000000000000000000000000000000000000000000000000100000", "0000000000000000000000000000000000000000000000000000000000010000", "0000000000000000000000000000000000000000000000000000000000000100", "0202212101010111212010120221122221122010120100112012121221100110", "0201000010000100210121212001102121002022122002121020122211021120", "0000001000000000000000000000000000000000000000000000000000000000", "2202112212202202112101221022002212221000121201122100212000221022", "0011121100121001022021200122010122220201101210020120002111220000", "2010211112212212121111011022210212212201202001002110210120102100", "2102222220101010022020212011011201220020200001000120010122222010", "0212002201221200200002010221110111020101000200002022211020112012", "1211220101020022211002100112120111100002220022200010002001111102", "1011020002102110020002200102200002000001221100010012112120101220", "1202220220102002222101101200212221112001001210200102220012010121", "2121020022212222112122210210202121120001111010221020020121101111", "2101222210002220011200022210121002122220021012000101212011211001", "0000000001000000000000000000000000000000000000000000000000000000", "0010102000210102210010202220221101211010022122121120110222210021", "1221000102102020002011221002102201011021112210221221012221011112", "0211020001021210102220011011210212122101101120201221211100120222", "1022021100220211122202102220211212122101021011021102111221122212", "0020101202102211012211222120221200021021211221102202210121021210", "2200002122011011110000011122212101021200101020001011002202022111", "0120202222010021221102100111211111210112021011001112122112101010", "1011002202110012212211111021102011022100110222010100210221201212", "2110222020011121210011002120222212202220100011201212221222022001", "2211110102201112101021210001220201221102100001020222010212202112"]); G:=MatrixGroup<64,F|x,y>; print "Group G is G2(4) < GL(64,GF(3))";