/*
www-ATLAS of Group Representations.
2.L2(13).2 represented as 12 x 12 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,12,[
"000000012120",
"000000220222",
"000000002020",
"000000011010",
"000000001002",
"000000111022",
"111020000000",
"002200000000",
"221122000000",
"202100000000",
"110211000000",
"221102000000"]);

y:=CambridgeMatrix(1,F,12,[
"000000222022",
"000000020210",
"000000102221",
"000000100110",
"000000010001",
"000000022220",
"022002000000",
"201121000000",
"202200000000",
"221010000000",
"202111000000",
"111110000000"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is 2.L2(13).2 < GL(12,GF(3))";