/* www-ATLAS of Group Representations. G2(5) represented as 64 x 64 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,64,[ "0100000000000000000000000000000000000000000000000000000000000000", "1000000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000", "0010000000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000", "0000000000000000000000010000000000000000000000000000000000000000", "0000000000000000000000001000000000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000", "0000000000000000000000000001000000000000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000", "0000000000000000000010000000000000000000000000000000000000000000", "0000000000000000000000000000000100000000000000000000000000000000", "0000000000000000000000000000000010000000000000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000000", "0000000000000000000000000000000001000000000000000000000000000000", "0000000000000000000000000000000000100000000000000000000000000000", "0011044002000000010000000001000000040000000000000000000000000000", "0000000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000000010000000000000000000000000000000000000", "0000000000000000000000000000100000000000000000000000000000000000", "0000000000000000000000000000010000000000000000000000000000000000", "0011400240000000000001100000004000000000000000000000000000000000", "0000000000000000000000000000000000000000010000000000000000000000", "0000000000000000000000000000000000000000001000000000000000000000", "0000000000000000000000000000000000000000000010000000000000000000", "0000000000000000000000000000000000000000000000100000000000000000", "0000000000000000000000000000000000000000000000001000000000000000", "0000000000000000000000000000000000001000000000000000000000000000", "0000000000000000000000000000000000000100000000000000000000000000", "0000000000000000000000000000000000000000000000000000100000000000", "0000000000000000000000000000000000000010000000000000000000000000", "0000000000000000000000000000000000000000000000000000001000000000", "0000000000000000000000000000000000000001000000000000000000000000", "0000000000000000000000000000000000000000000000000000000010000000", "0000000000000000000000000000000000000000100000000000000000000000", "0000000000000000000000000000000000000000000000000000000000100000", "0000000000000000000000000000000000000000000000000000000000010000", "0000000000000000000000000000000000000000000000000000000000000100", "0000000000000000000000000000000000000000000100000000000000000000", "3424113243231121113124411003310413434131442132414321123032003403", "0000000000000000000000000000000000000000000001000000000000000000", "1443242212010144403244213132023333210340333010142213101343214100", "0000000000000000000000000000000000000000000000010000000000000000", "4310221341111321034231412100143230112231003031323102001223204332", "0000000000000000000000000000000000000000000000000100000000000000", "0000000000000000000000000000000000000000000000000010000000000000", "4222022412323323110341134421102114134324141114223141301423444041", "0000000000000000000000000000000000000000000000000001000000000000", "4114022410133214312243343324333102230221440033321221344230311444", "0422244323300003100341020414222033214130022343301334144312223044"]); y:=CambridgeMatrix(1,F,64,[ "1400000000000000000000000000000000000000000000000000000000000000", "0010000000000000000000000000000000000000000000000000000000000000", "0440000000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000", "0011400140000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000", "0104011004000000000000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000", "0000000000000000000010000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000", "0000000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000000010000000000000000000000000000000000000", "0000000000000000000000000000100000000000000000000000000000000000", "0000000000000000000000000000010000000000000000000000000000000000", "0000000000000000000000000000001000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000", "0000000000000000000000000001000000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000", "0000000000000000000000000000000000010000000000000000000000000000", "0000000000000000000000000000000000001000000000000000000000000000", "0000000000000000000000000000000000000100000000000000000000000000", "0000000000000000000000000000000000000010000000000000000000000000", "0000000000000000000000000000000000000001000000000000000000000000", "0000000000000000000000000000000000000000100000000000000000000000", "0000000000000000000000010000000000000000000000000000000000000000", "0000000000000000000000001000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000100000000000000000000", "0000000000000000000000000000000000000000000001000000000000000000", "0000000000000000000000000000000000000000000000010000000000000000", "0000000000000000000000000000000000000000000000000100000000000000", "0000000000000000000000000000000000000000000000000010000000000000", "0000000000000000000000000000000000000000000000000001000000000000", "0000000000000000000000000000000100000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000010000000000", "0000000000000000000000000000000010000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000100000000", "0000000000000000000000000000000001000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000001000000", "0000000000000000000000000000000000100000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000001000", "0000000000000000000000000000000000000000000000000000000000000010", "0000000000000000000000000000000000000000000000000000000000000001", "3003200223234224202424303432201313201004014133021021340321044010", "4233411424330302331112031143303144340301300100132301344130414031", "4201020124132422010234213033012341424214142100111322314120013242", "2234032042023112243200000033131034113242244431042200443131041033", "1311324344432042300432444224011334220243310442303241042200411312", "1444412104242430101201030210430141113322134302112223204323233022", "2304143234200140431422421030301034403013241411134040440402430442", "0000000000000000000000000000000000000000010000000000000000000000", "3314140243400023313403434204402343043104211422142222444010001331", "0000000000000000000000000000000000000000001000000000000000000000", "3424113243231121113124411003310413434131442132414321123032003403"]); G:=MatrixGroup<64,F|x,y>; print "Group G is G2(5) < GL(64,GF(5))";