/*
www-ATLAS of Group Representations.
2.A7 represented as 12 x 12 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,12,[
"010000000000",
"001000000000",
"100000000000",
"000001000000",
"000000010000",
"210120010000",
"000000000100",
"012102010000",
"000000000001",
"010122021112",
"002210010010",
"121111201120"]);

y:=CambridgeMatrix(1,F,12,[
"220000000000",
"000100000000",
"000010000000",
"000000100000",
"000000001000",
"212210120000",
"000000000010",
"220221021000",
"120102010002",
"221121121121",
"120100200010",
"101011022012"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is 2.A7 < GL(12,GF(3))";