/*
www-ATLAS of Group Representations.
L3(4) represented as 16 x 16 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,16,[
"0100000000000000",
"1000000000000000",
"0000100000000000",
"0000001000000000",
"0010000000000000",
"0000000001000000",
"0001000000000000",
"0000000000010000",
"0000000000001000",
"0000010000000000",
"0011110011101100",
"0000000100000000",
"0000000010000000",
"0001001000000100",
"1100100110010011",
"0010100010001001"]);

y:=CambridgeMatrix(1,F,16,[
"0010000000000000",
"0001000000000000",
"0000010000000000",
"0000000100000000",
"0000000010000000",
"0001110100000000",
"0000000000100000",
"1001110010000000",
"0111110010000000",
"0000000000000100",
"0000000000000010",
"0000000000000001",
"1011001010101001",
"1110110011110100",
"1110111001100001",
"0010101110100110"]);

G<x,y>:=MatrixGroup<16,F|x,y>;
print "Group G is L3(4) < GL(16,GF(2))";