/* www-ATLAS of Group Representations. A14 represented as 64 x 64 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,64,[ "0100000000000000000000000000000000000000000000000000000000000000", "2200000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000", "0010000000000000000000000000000000000000000000000000000000000000", "1100001000000000000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000", "2121100021201000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000", "0000000000011002000000000000000000000000000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000", "1212200100010212001000000000000000000000000000000000000000000000", "0000000020011000000000000000000000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000", "0000000000000100200001000000000000000000000000000000000000000000", "0000000000000000000000000100000000000000000000000000000000000000", "2121100220001000100212000100000000000000000000000000000000000000", "0000000000000100002001000000000000000000000000000000000000000000", "0000000000000000000100002000100000000000000000000000000000000000", "0000000000000000000200010100000000000000000000000000000000000000", "0000000000000000000100200000100000000000000000000000000000000000", "0000000000000000000200101100200000000000000000000000000000000000", "0000000000000000000000000000000001000000000000000000000000000000", "1212200110002200001200101021200001000000000000000000000000000000", "0000000000000000000000000000100000000000000000000000000000000000", "0000000000000000000000000000000000001000000000000000000000000000", "0000000000000000000000000020001001000000000000000000000000000000", "0000000000000000000000000000020100001000000000000000000000000000", "0000000000000000000000000000000010000000000000000000000000000000", "0000000000000000000000000010020000001000000000000000000000000000", "0000000000000000000000000000000000000000001000000000000000000000", "2121100220001100002200000100010000212000001000000000000000000000", "0000000000000000000000000010000002001000000000000000000000000000", "0000000000000000000000000000000000100000020001000000000000000000", "0000000000000000000000000000000000200010001000000000000000000000", "0000000000000000000000000000000000100201020001000000000000000000", "0000000000000000000000000000000000200000101000000000000000000000", "0000000000000000000000000000000000100200000001000000000000000000", "0000000000000000000000000000000000200100011002000000000000000000", "0000000000000000000000000000000000000000000000000000100000000000", "1212200110002200001100000220000001200100010212000000100000000000", "0000000000000000000000000000000000000000000001000000000000000000", "0000000000000000000000000000000000000000000000000000000100000000", "0000000000000000000000000000000000000000000200010000100000000000", "0000000000000000000000000000000000000000000000201000000100000000", "0000000000000000000000000000000000000000000200000100100000000000", "0000000000000000000000000000000000000000000000200010000100000000", "0000000000000000000000000000000000000000000000000001000000000000", "0000000000000000000000000000000000000000000100200000000100000000", "0000000000000000000000000000000000000000000000000000000000000001", "2121100220001100002200000110000002200000001000100000021200000001", "0000000000000000000000000000000000000000000100000000200100000000", "0121010022120002000000202100202021112211122102010101222122121210", "0000000000000000000000000000000000000000000000000000020001000001", "0121010022120002000000202100202021112211122102010101222112221210", "0000000000000000000000000000000000000000000000000000020000010001", "0121010022120002000000202100202021112211122102010101222112122210", "0000000000000000000000000000000000000000000000000000020000000101", "0121010022120002000000202100202021112211122102010101222112121220", "0212020011210001000000101200101012221122211201020202111221212121"]); y:=CambridgeMatrix(1,F,64,[ "0010000000000000000000000000000000000000000000000000000000000000", "0220000000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000", "0020000100000000000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000", "0000000000000000000010000000000000000000000000000000000000000000", "0000000000000000112000000000000000000000000000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000000", "0000000000000000000000010000000000000000000000000000000000000000", "0000000000000000000000001000000000000000000000000000000000000000", "0000000000000000000000000010000000000000000000000000000000000000", "0000000000000000000000000001000000000000000000000000000000000000", "0000000000000000000000000000100000000000000000000000000000000000", "0000000000000000000000000000010000000000000000000000000000000000", "0000000000000000000000000000001000000000000000000000000000000000", "0000000000000000000000000000000100000000000000000000000000000000", "0000000000000000000000000000000010000000000000000000000000000000", "0000000000000000000000000000000000100000000000000000000000000000", "0000000000000000000000000000000000010000000000000000000000000000", "0000000000000000000000000020010112000000000000000000000000000000", "0000000000000000000000000000000000000100000000000000000000000000", "0000000000000000000000000000000000000010000000000000000000000000", "0000000000000000000000000000000000000001000000000000000000000000", "0000000000000000000000000000000000000000100000000000000000000000", "0000000000000000000000000000000000000000010000000000000000000000", "0000000000000000000000000000000000000000000100000000000000000000", "0000000000000000000000000000000000000000000010000000000000000000", "0000000000000000000000000000000000000000000001000000000000000000", "0000000000000000000000000000000000000000000000100000000000000000", "0000000000000000000000000000000000000000000000010000000000000000", "0000000000000000000000000000000000000000000000001000000000000000", "0000000000000000000000000000000000000000000000000100000000000000", "0000000000000000000000000000000000000000000000000010000000000000", "0000000000000000000000000000000000000000000000000001000000000000", "0000000000000000000000000000000000000000000000000000010000000000", "0000000000000000000000000000000000000000000000000000001000000000", "0000000000000000000000000000000000000000000200100011200000000000", "0000000000000000000000000000000000000000000000000000000010000000", "0000000000000000000000000000000000000000000000000000000001000000", "0000000000000000000000000000000000000000000000000000000000100000", "0000000000000000000000000000000000000000000000000000000000010000", "0000000000000000000000000000000000000000000000000000000000001000", "0000000000000000000000000000000000000000000000000000000000000100", "0000000000000000000000000000000000000000000000000000000000000010", "0200022212002200000000101220120202200011122022201010112002020202", "0002112210212001000200202100221211021100000020221212200200000000", "0121010022120002000000202100202021112211122102010101212122121220", "0012221220101211111201202120211110121210101010210101210122020202", "0010222222002100000100101210120202200212110201201010102010220202", "0202021210101011111101202100211110221111122222001010112000220202", "0200022212002200000000000020020202000202122222211010102002102202", "0122121200101111111001101220120202200002122222202010112002002202", "0120122222020022000000101220120202000010002222201110102002021022", "0012221210122000200000101220120202200011002222201020112002020022", "1101210221122000020000000020022220012022211020211112021111111122"]); G:=MatrixGroup<64,F|x,y>; print "Group G is A14 < GL(64,GF(3))";