/*
www-ATLAS of Group Representations.
3.A7 represented as 12 x 12 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,12,[
"010000000000",
"440000000000",
"000100000000",
"000001000000",
"000000010000",
"001000000000",
"000000000100",
"001141040000",
"041440011000",
"410131032430",
"003014220310",
"130020230301"]);

y:=CambridgeMatrix(1,F,12,[
"100000000000",
"001000000000",
"000010000000",
"000000100000",
"000000001000",
"223424400000",
"000000000010",
"000000000001",
"322242001000",
"014210444111",
"443041013004",
"421111010010"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is 3.A7 < GL(12,GF(5))";