/* www-ATLAS of Group Representations. G2(4) represented as 78 x 78 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,78,[ "010000000000000000000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000000000000000000", "000000000000000000000000000000010000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000010000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000000000000000000010000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000010000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000010000000000000000000000000000", "000000000000000000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000100000000000000000000000", "000000000000000000000000000000000000000000000000000000010000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000010000000000000000000", "000000000000000000000000010000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000010000000000000000", "000000000000000000000000000000000000000000000000000000000000000100000000000000", "000000000000000000000000000100000000000000000000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000010000000000", "000000000000000000000000000000000000000000000000000000000000000000000100000000", "000000000000000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000100000", "000000000000000000000000000000000000000000000000000000000000000000000000010000", "000000000000000000000000000000001000000000000000000000000000000000000000000000", "112001122121112202212100021210211110012222201212022122000010112211202022220200", "000000000000000000000000000000000100000000000000000000000000000000000000000000", "201020012210202001212111022212210121022111000102020001012201001000121210100200", "211222101000201002111210011202122020002220101222110001000010010000020100120000", "000000000000000000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000000000000000000", "100212001022110101212000222001212222101012222111212211121020221022101011120100", "122020222022201101221211022120022212010002010221002002212021212122212221110000", "000000000000000000000000000000000000001000000000000000000000000000000000000000", "021012121020020210010000120110102012002201002020211222100011102011222222100200", "112120101202202000011100110001122020021121011202222020221102000022020201020200", "000000000000000000000000000000000000000010000000000000000000000000000000000000", "000220211011201102011220101100021221012102100111101201121122122111121112010000", "000000000000000000000000000000000000000001000000000000000000000000000000000000", "100220212022112020011120210220222221011020102200201110012211120221010002100100", "010202112201020021222012022221112021110110202002020212111112012201222020100100", "202200210101210100102001000201212211211112211111011022210020122211002122020200", "000000000000000000000000000000000000000000001000000000000000000000000000000000", "200110101000120020110020120021102000222002020201222020201122220222001201120200", "000000000000000000000000000000000000000000000100000000000000000000000000000000", "112100020122112221220100102102200010201121012011001222010020112011222202020200", "020110111120212121011112002221222012100201120220122020011112220022000202200200", "000000000000000000000000000000000000000000000001000000000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000000000000000000", "202110212011121020011221010122020211020222121122120221012221021200111210121200", "210011221220111222022200121010211020000011120202112202112221202222212221000100", "110111120011220010021000220110122122110020202102222220011112200122010001020210", "121122201102120111212022212022210112112221012111200200120010010200010200210001"]); y:=CambridgeMatrix(1,F,78,[ "001000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000", "022200000000000000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000000000", "110201000000000000000000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000000000000000000", "000000000000000000000000010000000000000000000000000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000000000100000000000000000000000000000000000000000000", "000000000000000000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000000000000000000", "000000000000000000000000000000000000000001000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000001000000000000000000000000000000000", "000000000000000000000000000000000000000000000100000000000000000000000000000000", "000000000000000000000000000000000000000000000001000000000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000000000000000000", "000000000000000000000000000000000000000000000000001000000000000000000000000000", "000000000000000000000000000000000000000000000000000010000000000000000000000000", "000000000000000000000000000000000000000000000000000001000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000001000000000000000000000", "000000000000000000000000000000000000000000000000000000000100000000000000000000", "000000000000000000000000000000000000000000000000000000000001000000000000000000", "000000000000000000000000000000000000000000000000000000000000100000000000000000", "000000000000000000000000000000000000000000000000000000000000001000000000000000", "000000000000000000000000000000000000000000000000000000000000000010000000000000", "000000000000000000000000000000000000000000000000000000000000000001000000000000", "000000000000000000000000000000000000000000000000000000000000000000100000000000", "000000000000000000000000000000000000000000000000000000000000000000001000000000", "000000000000000000000000000000000000000000000000000000000000000000000010000000", "000000000000000000000000000000000000000000000000000000000000000000000001000000", "000000001000000000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000001000", "000000000000000000000000000000000000000000000000000000000000000000000000000100", "000000000000000000000000000000000000000000000000000000000000000000000000000010", "000000000000000000000000000000000000000000000000000000000000000000000000000001", "202201221102121002020101221212201110022012212102222211211011002110100222112101", "212112200102112212121121011002102020212111212121100100002200002120120021111112", "011200000221222222111222021220111211012211021100021100021010220021002022210122", "012020020120222222021111000012211221021122111201101100202212122100111022100201", "110101111111212011110221120001120111021011120011110020220112000202012200200210", "012001121102010202002011102212201010110110020221120020010111110122220002121100", "012010222100211010222022120201100111022200220011111021002222012211210211111012", "000000000010000000000000000000000000000000000000000000000000000000000000000000", "111011211101201022011201210201201100011100111111002011110000021121020021011022", "021012101111201221011122201011212121002200220221201201101111021011122120000001", "210210000010210002210002121110020110011101220002100000112200122212200001011001", "111110201212002010222212221202122220011102201112002001121001002101110220100202", "121222222022221100020210101002211120100002202012111121120200111021011001221010", "110010011120002210002220020200210212011200001221022122200200210121221012001022", "202202210010001221111021210212011221122121200201220110101000222120112110002022", "200010001102222022010022011020112100020222002101210222121210021122222022002110", "021101211121011112111211010210000210200102100222200220122210210210002101221111", "001110111011020100211122000200221021201202120011102220010220121211022020011010", "201110201121212020121002120020012101021002202201022110022012202221000022111200", "100011200220210001001002112220112022000100002211101221220010002121022120002111", "021001210211112022220022211020012021001012221011122221102001110111100002112120", "120021122022211020111201111020111222122211201122000000001111121120110001221111", "212111110020201020202100000202020210110110112201200102212111220110220222001100", "001002212210222102222212101210002012201010202012020022102202121210211121012002", "000000000000010000000000000000000000000000000000000000000000000000000000000000", "112200221010110210200002110211122202011001200001012111012010100020001022001211"]); G:=MatrixGroup<78,F|x,y>; print "Group G is G2(4) < GL(78,GF(3))";