/*
www-ATLAS of Group Representations.
A6 represented as 16 x 16 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,16,[
"1000000000000000",
"0100000000000000",
"0001000000000000",
"0010000000000000",
"0000001000000000",
"0000000100000000",
"0000100000000000",
"0000010000000000",
"0000000000100000",
"0000000000001000",
"0000000010000000",
"1100000001011000",
"0000000001000000",
"0000000000000001",
"1000101010100010",
"0000000000000100"]);

y:=CambridgeMatrix(1,F,16,[
"0100000000000000",
"0010000000000000",
"0000100000000000",
"0000010000000000",
"1000000000000000",
"0000000010000000",
"0000000001000000",
"0000001000000000",
"0000000000010000",
"0001011111010000",
"0000000000000100",
"0001000000000000",
"0000000000000010",
"0000000000100000",
"0000000000001100",
"0001011101010001"]);

G<x,y>:=MatrixGroup<16,F|x,y>;
print "Group G is A6 < GL(16,GF(2))";