/*
www-ATLAS of Group Representations.
M22:2 represented as 21 x 21 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,21,[
"020000000000000000000",
"200000000000000000000",
"000020000000000000000",
"000000200000000000000",
"002000000000000000000",
"000000002000000000000",
"000200000000000000000",
"000000000002000000000",
"000002000000000000000",
"110102102100000000000",
"000000000000020000000",
"000000020000000000000",
"222121101000100000000",
"000000000020000000000",
"000000000000000020000",
"000000020002002120000",
"000000000000002000000",
"000002002000000001000",
"222022012001000000100",
"111211221012010000010",
"110102122002000000001"]);

y:=CambridgeMatrix(1,F,21,[
"002000000000000000000",
"000200000000000000000",
"000002000000000000000",
"000000020000000000000",
"200121020000000000000",
"000000000200000000000",
"000000000020000000000",
"212102010200000000000",
"000000000000200000000",
"200000000000000000000",
"112101200000000000000",
"000000000000002000000",
"022201002200000000000",
"000000000000000200000",
"000000000000000002000",
"000000000000000000200",
"000000000000000000020",
"000000000000000000002",
"212101110120020120210",
"211202010000000020000",
"000000000002000000000"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is M22:2 < GL(21,GF(3))";