/*
www-ATLAS of Group Representations.
S6(2) represented as 49 x 49 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,49,[
"0100000000000000000000000000000000000000000000000",
"1000000000000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000000",
"0010000000000000000000000000000000000000000000000",
"0000001000000000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000000000",
"0000000000010000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000",
"0000000000000010000000000000000000000000000000000",
"0000000000000000100000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000",
"0000000000000000000100000000000000000000000000000",
"0000000000000000000001000000000000000000000000000",
"0000000001000000000000000000000000000000000000000",
"0000000000000000000000001000000000000000000000000",
"0000000000100000000000000000000000000000000000000",
"0000000000000000000000000001000000000000000000000",
"0000000000000000000000000000010000000000000000000",
"0000000000001000000000000000000000000000000000000",
"1122101200021000000120000000000000000000000000000",
"0000000000000100000000000000000000000000000000000",
"0000000000000001000000102000000000000000000000000",
"0000000000000000000000020000000000000000000000000",
"0000000000000001000000000000000000000000000000000",
"1111000000002002020200200202000000000000000000000",
"2222000202020020000000000020000000000000000000000",
"0000000000000000010000000000000000000000000000000",
"0000000000000000000000000000000000000010000000000",
"0000000000000000001000000000000000000000000000000",
"0022202002000020010000000001002000000000000000000",
"0000000000000000000000000000000000000000001000000",
"0000000000000002000000200000000020000000000000000",
"0000000100010000000000000000200002000020000000000",
"1111000000002002020200200002000000200000000000000",
"1111000100012002020200200002200000020020000000000",
"2222000101011011010100100001200000002020000000000",
"2222010211022010021200201002210000000220000000000",
"0000000000000000000000000000100000000000000000000",
"1111020122111020112100102001120000000012000000000",
"0000020121012012002200101000020000000000200000000",
"1111222020002001020200202002000100000000021000000",
"0000000000000000000000000000000100000000000000000",
"0000010010000001010000100001000200000000002200000",
"2222111010001002010100101001000200000000002020000",
"0000010211221011211100001001210000000020000002000",
"0000000101210010210000201001000200000000002000200",
"1122101200021000000100000000000000000000000000020",
"0000111010000000000000201000000200000000002000002"]);

y:=CambridgeMatrix(1,F,49,[
"0010000000000000000000000000000000000000000000000",
"0220000000000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000",
"0000000001000000000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000",
"0000000000001000000000000000000000000000000000000",
"0000000000000100000000000000000000000000000000000",
"0000000000000001000000000000000000000000000000000",
"0000000000000000010000000000000000000000000000000",
"0000000000000000001000000000000000000000000000000",
"0000000000000000000010000000000000000000000000000",
"0000000000000000000000100000000000000000000000000",
"0000000000000000000000010000000000000000000000000",
"0000000000000000000000000100000000000000000000000",
"0000000000000000000000000010000000000000000000000",
"0000000000000000000000000000100000000000000000000",
"0000000000000000000000000000001000000000000000000",
"0000000000000000000000000000000100000000000000000",
"1210200100002000000010000000000000000000000000000",
"0000000000000000000000000000000010000000000000000",
"0000000000000000000000000000000001000000000000000",
"0000000000000000000000000000000000100000000000000",
"0000000000000000000000000000000000010000000000000",
"1122101200021000000120000000000000000000000000000",
"0000000000000000000000000000000000001000000000000",
"0000000000000000000000000000000000000100000000000",
"0000000000000000000000000000000000000001000000000",
"0000000000000000000000000000000000000000100000000",
"0000000000000000000000000000000000000000010000000",
"0011100001000000020000000000001000000000000000000",
"2222000000001001010100100001000002000000000000000",
"2111002222022022120100202002120000001012000000000",
"0000000000000000000000000000000000000000000100000",
"0022202002000020010000000001002000000000000000000",
"0000000000000000000000000000000000000000000010000",
"0000000000000000000000000000000000000000000001000",
"0000000000000000000000000000000000000000000000100",
"0000000000000000000000000000000000000000000000010",
"0000000000000000000000000000000000000000000000001",
"2222000001010010120000101120100122020101001000100",
"1200120102011121022110102022022120000211000000100",
"0002110001120000110100002100000011112122021112012",
"2122110002102002111011020110102101020100200000120",
"0100220100012122122220222022021221120212100020001",
"2211212111011011110000022100022212022210000002200",
"1101000201121021022000122202012011211000000000002",
"0100112021001011122120022101021000221212120210000"]);

G<x,y>:=MatrixGroup<49,F|x,y>;
print "Group G is S6(2) < GL(49,GF(3))";