/*
www-ATLAS of Group Representations.
L6(2) represented as 15 x 15 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,15,[
"010000000000000",
"100000000000000",
"000010000000000",
"000000100000000",
"001000000000000",
"000000000100000",
"000100000000000",
"000001010100000",
"000000001000000",
"000001000000000",
"001111100110000",
"000100100001000",
"000100100000100",
"001010000000010",
"001111100100001"]);

y:=CambridgeMatrix(1,F,15,[
"001000000000000",
"000100000000000",
"000001000000000",
"000000010000000",
"000000001000000",
"000000000010000",
"000000000001000",
"000000000000100",
"010011001000000",
"000000000000010",
"010101010010000",
"110100100000100",
"100100000010000",
"000000000000001",
"011000010100100"]);

G<x,y>:=MatrixGroup<15,F|x,y>;
print "Group G is L6(2) < GL(15,GF(2))";