/*
www-ATLAS of Group Representations.
2.A6 represented as 12 x 12 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,12,[
"010000000000",
"200000000000",
"000100000000",
"002000000000",
"000000100000",
"000000010000",
"000020000000",
"000002000000",
"000000000010",
"000000000001",
"000000002000",
"000000000200"]);

y:=CambridgeMatrix(1,F,12,[
"110000000000",
"001000000000",
"000010000000",
"000001000000",
"122020000000",
"000000001000",
"000000000100",
"002101100000",
"001220222120",
"020220002011",
"201021010121",
"212100010212"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is 2.A6 < GL(12,GF(3))";