/*
www-ATLAS of Group Representations.
M12 represented as 10 x 10 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,10,[
"0100000000",
"1000000000",
"0001000000",
"0010000000",
"0000010000",
"0000100000",
"0000000100",
"0000001000",
"1100001110",
"1111110001"]);

y:=CambridgeMatrix(1,F,10,[
"1000000000",
"0010000000",
"1110000000",
"0000100000",
"0001100000",
"0000001000",
"0000011000",
"0000000010",
"0000000001",
"0000000100"]);

G<x,y>:=MatrixGroup<10,F|x,y>;
print "Group G is M12 < GL(10,GF(2))";