/*
www-ATLAS of Group Representations.
U3(4) represented as 16 x 16 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,16,[
"1000000000000000",
"0100000000000000",
"0001000000000000",
"0010000000000000",
"0000010000000000",
"0000100000000000",
"0000000010000000",
"0000000001000000",
"0000001000000000",
"0000000100000000",
"0000000000000100",
"1100000000110100",
"1000000101001000",
"0000000000100000",
"0000000000000001",
"0000000000000010"]);

y:=CambridgeMatrix(1,F,16,[
"0100000000000000",
"0010000000000000",
"1000000000000000",
"0000100000000000",
"0000001000000000",
"0000000100000000",
"0001000000000000",
"0000000000100000",
"0000000000010000",
"0000000000001000",
"0000010000000000",
"0000010110110000",
"0000000001001000",
"0000000000000010",
"1001000110010101",
"0100110110000110"]);

G<x,y>:=MatrixGroup<16,F|x,y>;
print "Group G is U3(4) < GL(16,GF(2))";