/* www-ATLAS of Group Representations. Sz(8):3 represented as 63 x 63 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,63,[ "010000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000010000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000000000", "000000000000000000000000000000001000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000", "000000000000000000000000000000000010000000000000000000000000000", "000000000000000000000000000000000001000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000", "000000000000000000000000000000000000001000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000", "000000000000000000000000000000000000000001000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000000000000000000000001000000000000000000", "000000000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000", "000000000000000000000000000000000000000000000000010000000000000", "000000000000000000000000000001000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000", "000000000000000000000000000000000000000000000000000001000000000", "000000000000000000000000000000010000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000010000000", "000000000000000000000000000000000000000000000000000000001000000", "000000000000000000000000000000000100000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000001000", "000000000000000000000000000000000000000000000000000000000000100", "000000000000000000000000000000000000000000000000000000000000001", "000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000", "312004104334311331120413202234420224231224102331000134200103334", "122021423020210034004104140424320012043141401143332214013400313", "402012022121114024123204333234143320031413022002210201222344123", "000000000000000000000000000000000000000010000000000000000000000", "412101132421221433040141034200422314344300030240000324200431243", "000000000000000000000000000000000000000000100000000000000000000", "000000000000000000000000000000000000000000010000000000000000000", "012312144444000301043010330033333324014402120444214314240214204", "213042140233241111011400244033104212422301334433021140212030104", "000000000000000000000000000000000000000000000100000000000000000", "000000000000000000000000000000000000000000000010000000000000000", "142103334010134342342102422440204043311132022121400133112423004", "000000000000000000000000000000000000000000000001000000000000000"]); y:=CambridgeMatrix(1,F,63,[ "410000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000", "241000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000", "000000000000000000000000000000010000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000", "000000000000000000000000000000000100000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000", "000000000000000000000000000000000000000000100000000000000000000", "000000000000000000000000000000000000000000010000000000000000000", "000000000000000000000000000000000000000000000100000000000000000", "000000000000000000000000000000000000000000000010000000000000000", "000000000000000000000000000000000000000000000001000000000000000", "000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000001000000000000", "000000000000000000000000000000000000000000000000000100000000000", "000000000000000000000000000000000000000000000000000010000000000", "000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000100000000", "000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000100000", "000000000000000000000000000000000000000000000000000000000010000", "000000000000000000000000010000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000010", "101033302330404400101243000102443121120024401111343220003011113", "320300344133112200231223322102013043430244103012444143300420443", "443402324440441400444114023224302013310042441232402331121241431", "000000000000000000000000000010000000000000000000000000000000000", "443044140434033223403320231424001023143024321410232423321020113", "410142030114230243331311223043320233243331143420444444224213342", "323113200244000023343141233211130302443040400312211310201332222", "233324431104244330111312414042211240243013142011043231144413421", "301200343031311313124424343232234204120212133112433030424340100", "440001424200414204103331404103212121214041404024124342341001333", "000000000000000000000000000000001000000000000000000000000000000", "114041144043244203300311130102013313211223222044343121201120341", "012233103322340132414010131020044210011412433001340022000441043", "131400224111333242211432003102224110243004113204004342200412032", "000000000000000000000000000000000010000000000000000000000000000", "121334021144002030214030131304222242102423211421123344043411233"]); G:=MatrixGroup<63,F|x,y>; print "Group G is Sz(8):3 < GL(63,GF(5))";