/* www-ATLAS of Group Representations. 2.S14 represented as 64 x 64 matrices over GF(7). */ F:=GF(7); x:=CambridgeMatrix(1,F,64,[ "0100000000000000000000000000000000000000000000000000000000000000", "1000000000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000", "0010000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000000", "0000000000000000000000001000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000", "0000000000000000000000000001000000000000000000000000000000000000", "0000000000000000000000000000010000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000010000000000000000000000000000000", "0000000000000000000000000000000001000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000001000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000001000000000000000000000000", "0000000000000000000000000000000000000000010000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000", "4655012651003036430060000000400000000600401200000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000001000000000000000000", "0000000000000000000000000000000000000000000000100000000000000000", "0000000000000000000010000000000000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000001000000000000000", "0000000000000000000000000000000000000000000000000010000000000000", "0000000000000000000000010000000000000000000000000000000000000000", "1063502032106053250030020413100000000300000000000401200000000000", "0000000000000000000000000000000000000000000000000000010000000000", "0000000000000000000000000100000000000000000000000000000000000000", "1006006000400000000000040000105320000000300000000100001200000000", "0000000000000000000000000010000000000000000000000000000000000000", "5002002013101000006406400400501000000000003000000001003020000000", "6006061250440100004004004040600100000000000300000000100360000000", "0000000000000000000000000000000000000000000000000000000001000000", "0000000000000000000000000000001000000000000000000000000000000000", "0000000000000000000000000000000100000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000100000", "0000000000000000000000000000000000100000000000000000000000000000", "0020005000200012640050020000006510413100600000000400000000012000", "0000000000000000000000000000000000010000000000000000000000000000", "0030001045400060065103200200004000500513006000000004000000030200", "0050052450200206031002002020000400050630030600000000400000003600", "0000000000000000000000000000000000000010000000000000000000000000", "0000003000004030000040000000000000300000506032000000004000060020", "0006000410000003000020000000000000030000600620200000000400006060", "0002003650004346006000000000040004000030006260000000000040000640", "0000000000000000000000000000000000000000000010000000000000000000", "0000000000000000000000000000000000000000000000010000000000000000", "0000005000501050000022660300002000500000000051013506001000030002", "0005000020600005000016036030000200050000000010130630600100003006", "0004005060001523000001000310010002000050000030020006230010000304", "0000000040000000003004000000002300000000000000040000006212000031", "0000000020000062006002000000001506310040000050020000000001362164"]); y:=CambridgeMatrix(1,F,64,[ "0010000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000", "5022000000000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000", "0000000000000000000010000000000000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000000000000000000", "0000000000000000000000010000000000000000000000000000000000000000", "0000000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000000010000000000000000000000000000000000000", "0000000000000000000000000000100000000000000000000000000000000000", "0000000000000000000000000000001000000000000000000000000000000000", "0000000000000000000000000000000100000000000000000000000000000000", "2024406013302041360010010245200000000000000000000000000000000000", "0000000000000000000000000000000000100000000000000000000000000000", "0000000000000000000000000000000000010000000000000000000000000000", "0000000000000000000000000000000000000100000000000000000000000000", "0000000000000000000000000000000000000010000000000000000000000000", "0000000000000000000000000000000000000000100000000000000000000000", "0000000000000000000000000000000000000000001000000000000000000000", "0000000000000000000000000000000000000000000100000000000000000000", "0230552000300020120040010201400000000300605100000000000000000000", "0000000000000000000000000000000000000000000010000000000000000000", "0040003000400024550020060000005320532000200000000000000000000000", "0060004013105030043206400600001000100032002000000000000000000000", "0034034660400403022004004060000100010020020200000000000000000000", "0000000000000000000000000000000000000000000000010000000000000000", "0000000000000000000000000000000000000000000000000100000000000000", "0000000000000000000000000000000000000000000000000001000000000000", "0000000000000000000000000000000000000000000000000000100000000000", "2164011464065554332232226402100440000400102600000000000000000000", "0000000000000000000000000000000000000000000000000000001000000000", "0000000000000000000000000000000000000000000000000000000100000000", "6005344123601340254411123446600220022544254500000102600000000000", "0000000000000000000000000000000000000000000000000000000010000000", "1066000000200020140020020000506030506000400000000300002600000000", "6011003001302030030000600200604000100006004000000003006060000000", "0000004000405040000033230500002000600000000045045000002000000000", "0004000030200004000052052050000200060000000050550050000200000000", "0006004040005431005003000540050003000060000010010000050020000000", "0000000000000000000000000000000000000000000000000000000000010000", "0000000000000000000000000000000000000000000000000000000000001000", "0546126311100045020010060565300000044111030000000605100000000000", "0000000000000000000000000000000000000000000000000000000000000100", "6402034363004043510010030000201520305000100011300400005100000000", "4202056451500144663413400300163006200005001033000004001010000000", "0000000000000000000000000000000000000000000000000000000000000010", "4005101056101052120063322163405650331200600044544550003200051000", "2033403040605412302540540615251003200131006055055005052020010100", "0000003000300020000020640400002000200000105004001000004000030010", "0000000040000054005004000000002305230050000020060000000002200020", "0000000000000000000000000000000000000000000000000000000000000001", "4013002000600041310050030256005100212500300000011130000000026000", "0050006050205010023302010423001000600612003000033001030000060600", "4003006035504000004214210100003230300000602025002000001003040060", "0010001056105006231425600200000152315014504012046602006005550056", "0000003000101060060066450100005000523021000060065105003000310001"]); G:=MatrixGroup<64,F|x,y>; print "Group G is 2.S14 < GL(64,GF(7))";