/*
www-ATLAS of Group Representations.
2.G2(4) represented as 12 x 12 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,12,[
"040000000000",
"400000000000",
"101100000000",
"410400000000",
"000000400000",
"000000004000",
"000040000000",
"310242412000",
"000004000000",
"410324204100",
"210110100010",
"020304004001"]);

y:=CambridgeMatrix(1,F,12,[
"001000000000",
"000100000000",
"000010000000",
"000001000000",
"000000010000",
"000000000100",
"000000000010",
"404040040000",
"104334321320",
"040404000400",
"000000000001",
"111134023423"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is 2.G2(4) < GL(12,GF(5))";