/*
www-ATLAS of Group Representations.
3.M22:2 represented as 12 x 12 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,12,[
"010000000000",
"100000000000",
"111000000000",
"000001000000",
"000000100000",
"000100000000",
"000010000000",
"000000000100",
"000000000010",
"000000010000",
"000000001000",
"101111101011"]);

y:=CambridgeMatrix(1,F,12,[
"001000000000",
"000100000000",
"000010000000",
"010000000000",
"111110000000",
"000000010000",
"000000001000",
"010100001100",
"000000000001",
"000001011101",
"111001100110",
"010101100101"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is 3.M22:2 < GL(12,GF(2))";