/*
www-ATLAS of Group Representations.
S6(2) represented as 14 x 14 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,14,[
"01000000000000",
"10000000000000",
"00010000000000",
"00100000000000",
"00000010000000",
"00000200000000",
"00001000000000",
"00000002000000",
"00000000200000",
"00000002110100",
"11110000002000",
"00000000000200",
"22001010000020",
"00000000000002"]);

y:=CambridgeMatrix(1,F,14,[
"00100000000000",
"02200000000000",
"00001000000000",
"00000100000000",
"00000001000000",
"00000000100000",
"00000000010000",
"00000000001000",
"00000000000100",
"11110000002000",
"00000000000010",
"00000000000001",
"12102001002010",
"22001010000020"]);

G<x,y>:=MatrixGroup<14,F|x,y>;
print "Group G is S6(2) < GL(14,GF(3))";