/*
www-ATLAS of Group Representations.
2.G2(4) represented as 12 x 12 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,12,[
"010000000000",
"100000000000",
"000100000000",
"001000000000",
"000000100000",
"000000010000",
"000010000000",
"000001000000",
"616115621000",
"343434430100",
"006150200010",
"342523540001"]);

y:=CambridgeMatrix(1,F,12,[
"360000000000",
"001000000000",
"000010000000",
"000001000000",
"221030000000",
"000000001000",
"000000000100",
"000000000010",
"000000000001",
"451444641140",
"331455314151",
"000606006006"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is 2.G2(4) < GL(12,GF(7))";