/*
www-ATLAS of Group Representations.
G2(4) represented as 6 x 6 matrices over GF(4).
*/

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,6,[
"010000",
"100000",
"000010",
"110100",
"001000",
"220001"]);

y:=CambridgeMatrix(1,F,6,[
"001000",
"000100",
"000001",
"211302",
"310313",
"232120"]);

G<x,y>:=MatrixGroup<6,F|x,y>;
print "Group G is G2(4) < GL(6,GF(4))";