/* www-ATLAS of Group Representations. G2(4).2 represented as 65 x 65 matrices over GF(7). */ F:=GF(7); x:=CambridgeMatrix(1,F,65,[ "01000000000000000000000000000000000000000000000000000000000000000", "10000000000000000000000000000000000000000000000000000000000000000", "00010000000000000000000000000000000000000000000000000000000000000", "00100000000000000000000000000000000000000000000000000000000000000", "00000010000000000000000000000000000000000000000000000000000000000", "00000001000000000000000000000000000000000000000000000000000000000", "00001000000000000000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000000000000000000", "00000000000100000000000000000000000000000000000000000000000000000", "00000000000001000000000000000000000000000000000000000000000000000", "00000000000000010000000000000000000000000000000000000000000000000", "00000000100000000000000000000000000000000000000000000000000000000", "00000000000000000010000000000000000000000000000000000000000000000", "00000000010000000000000000000000000000000000000000000000000000000", "00000000000000000000100000000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000000000000000000", "00000000000000000000000100000000000000000000000000000000000000000", "00000000000000000000000001000000000000000000000000000000000000000", "00000000000010000000000000000000000000000000000000000000000000000", "00000000000000000000000000001000000000000000000000000000000000000", "00000000000000100000000000000000000000000000000000000000000000000", "00000000000000000000000000000001000000000000000000000000000000000", "00000000000000000000000000000000100000000000000000000000000000000", "00000000000000001000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000100000000000000000000000000000", "00000000000000000100000000000000000000000000000000000000000000000", "00000000000000000000000000000000000001000000000000000000000000000", "00000000000000000000000000000000000000010000000000000000000000000", "00000000000000000001000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000010000000000000000000000", "00000000000000000000000000000000000000000000100000000000000000000", "00000000000000000000010000000000000000000000000000000000000000000", "00000000000000000000001000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000010000000000000000", "00000000000000000000000000000000000000000000000000100000000000000", "00000000000000000000000010000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000100000000000", "00000000000000000000000000100000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000100000000", "00000000000000000000000000010000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000001000000", "00000000000000000000000000000000000000000000000000000000000010000", "00000000000000000000000000000100000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000000010", "00000000000000000000000000000010000000000000000000000000000000000", "35300502055123165231214551316306621061102161250001015440164354401", "56413615113024411546242142614415445265510342325033144505342041432", "35165055105221034246142354545644052065102353654122305511142226342", "00000000000000000000000000000000010000000000000000000000000000000", "31522302520635530364534162004445062150112304312523100644643030613", "00000000000000000000000000000000001000000000000000000000000000000", "33325520120423635621464266506001420554344555560665634120063061010", "15201641160043146624534666355043323416546533335050125443105346545", "00000000000000000000000000000000000010000000000000000000000000000", "26064360440443511012631124536144421241445350061053625022641452604", "46102010414614163423641263315515360303061353010235104606615352431", "00000000000000000000000000000000000000100000000000000000000000000", "56444206122215656523531526231431021433040424602203632324321162551", "00000000000000000000000000000000000000001000000000000000000000000", "35036451631104252155006445344622656134041143142352134624604543045", "00000000000000000000000000000000000000000100000000000000000000000", "42605311052304200233352611464006542041251242052255555034516052613", "46144456131166656111344623353131225231324032134005416151422211222", "00000000000000000000000000000000000000000001000000000000000000000", "24646462025103235325346415034264446360665116154212005511645206301"]); y:=CambridgeMatrix(1,F,65,[ "26000000000000000000000000000000000000000000000000000000000000000", "00100000000000000000000000000000000000000000000000000000000000000", "00001000000000000000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000000000000000000", "16305000000000000000000000000000000000000000000000000000000000000", "00000000100000000000000000000000000000000000000000000000000000000", "00000000010000000000000000000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000000000000000000", "00000000000010000000000000000000000000000000000000000000000000000", "00000000000000100000000000000000000000000000000000000000000000000", "00000000000000001000000000000000000000000000000000000000000000000", "00000000000000000100000000000000000000000000000000000000000000000", "00010000000000000000000000000000000000000000000000000000000000000", "00000000000000000001000000000000000000000000000000000000000000000", "00000000000000000000010000000000000000000000000000000000000000000", "00000000000000000000001000000000000000000000000000000000000000000", "00000000000000000000000010000000000000000000000000000000000000000", "00000000000000000000000000100000000000000000000000000000000000000", "00000000000000000000000000010000000000000000000000000000000000000", "00000000000000000000000000000100000000000000000000000000000000000", "00000000000000000000000000000010000000000000000000000000000000000", "00000010000000000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000010000000000000000000000000000000", "00000000000000000000000000000000001000000000000000000000000000000", "00000001000000000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000010000000000000000000000000000", "00000000000000000000000000000000000000100000000000000000000000000", "00000000000000000000000000000000000000001000000000000000000000000", "00000000000000000000000000000000000000000100000000000000000000000", "00000000000000000000000000000000000000000001000000000000000000000", "00000000000000000000000000000000000000000000010000000000000000000", "00000000000000000000000000000000000000000000001000000000000000000", "00000000000000000000000000000000000000000000000100000000000000000", "00000000000000000000000000000000000000000000000001000000000000000", "00000000000000000000000000000000000000000000000000010000000000000", "00000000000000000000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000000000000000000000010000000000", "00000000000000000000000000000000000000000000000000000001000000000", "00000000000100000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000010000000", "00000000000000000000000000000000000000000000000000000000000100000", "00000000000000000000000000000000000000000000000000000000000001000", "00000000000000000000000000000000000000000000000000000000000000100", "00000000000001000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000000001", "43011460513643451321106655622441543652211050303604464212460565342", "44364123626402653162205062305102125116265016241152262433435266560", "43003100203015364464621465443364260162414553645521630342065106064", "26456202362313632102310266023543504004005561654225634025322425135", "00000000000000010000000000000000000000000000000000000000000000000", "10366562412616200456434600231334251263642451201661120112523660666", "43560424223606564643331230445365040161410123645003600645502335154", "65010201111444414633446546453044031100355031223211624501645525046", "10221131415001102401642426361360032043553140424432330404153160651", "23245022406105640231461541430521441141161132662335542662454236143", "40562350366454410214120325351014043313366036046545635320562211031", "44156406611630422454435150510366305545410344120352026116563052001", "44046315261240456466645621016304246026446305346620034135341404465", "05065021441463431434666532225313120225114630424026522520325630554", "00000000000000000010000000000000000000000000000000000000000000000", "63151506606254453315011244454320363134403355664260562116640500512", "60264202253644435520602663414341442226051306300064144351040512422", "54306166064056314321033530254140615504525616434216663215215224001", "40106456042106652663224201624534115066011332406166124205162641446", "32306640110462051314240304106636441365221236446031551346545246460"]); G:=MatrixGroup<65,F|x,y>; print "Group G is G2(4).2 < GL(65,GF(7))";