/*
www-ATLAS of Group Representations.
L6(2):2 represented as 12 x 12 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,12,[
"000000010010",
"000000100110",
"000000000110",
"000000011000",
"000000111001",
"000000000010",
"011000000000",
"100001000000",
"100101000000",
"001001000000",
"000001000000",
"011110000000"]);

y:=CambridgeMatrix(1,F,12,[
"111100000000",
"100000000000",
"010100000000",
"100100000000",
"110010000000",
"001101000000",
"000000001001",
"000000111100",
"000000011011",
"000000010111",
"000000000010",
"000000000001"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is L6(2):2 < GL(12,GF(2))";