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

F:=GF(2);

x:=CambridgeMatrix(1,F,12,[
"010000000000",
"100000000000",
"000010000000",
"000001000000",
"001000000000",
"000100000000",
"000000001000",
"000000000100",
"000000100000",
"000000010000",
"111110011111",
"000101101001"]);

y:=CambridgeMatrix(1,F,12,[
"001000000000",
"000100000000",
"101110000000",
"000000100000",
"100000100000",
"000000010000",
"010100100000",
"000000000010",
"100101101110",
"000000000001",
"001111010010",
"011110100100"]);

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