/*
www-ATLAS of Group Representations.
3.M22 represented as 6 x 6 matrices over GF(4).
*/

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,6,[
"010000",
"100000",
"000010",
"223130",
"001000",
"113031"]);

y:=CambridgeMatrix(1,F,6,[
"001000",
"000100",
"101110",
"000001",
"100001",
"010101"]);

G<x,y>:=MatrixGroup<6,F|x,y>;
print "Group G is 3.M22 < GL(6,GF(4))";