/*
www-ATLAS of Group Representations.
L2(16):4 represented as 16 x 16 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,16,[
"0100000000000000",
"1000000000000000",
"0001000000000000",
"0010000000000000",
"0000001000000000",
"0000000100000000",
"0000100000000000",
"0000010000000000",
"0000000000010000",
"0000000000001000",
"0000000000000100",
"0000000010000000",
"0000000001000000",
"0000000000100000",
"0000101000110011",
"0000000010110101"]);

y:=CambridgeMatrix(1,F,16,[
"0010000000000000",
"0110000000000000",
"0000100000000000",
"0000010000000000",
"1010100000000000",
"0000000010000000",
"0000000001000000",
"0000000000100000",
"0001000100100000",
"0110110110010000",
"0001010000100000",
"0000000000000010",
"1001010100101000",
"0000000000000001",
"0101011100000000",
"1001110100100100"]);

G<x,y>:=MatrixGroup<16,F|x,y>;
print "Group G is L2(16):4 < GL(16,GF(2))";