/*
www-ATLAS of Group Representations.
U3(8):6 represented as 24 x 24 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,24,[
"010000000000000000000000",
"100000000000000000000000",
"000100000000000000000000",
"001000000000000000000000",
"000001000000000000000000",
"000010000000000000000000",
"000000001000000000000000",
"000000000100000000000000",
"000000100000000000000000",
"000000010000000000000000",
"000000000000010000000000",
"000000000000001000000000",
"000000000000000010000000",
"000000000010000000000000",
"000000000001000000000000",
"000000000000000000001000",
"000000000000100000000000",
"000000000010010001000000",
"110011101001101110101000",
"000011101001001100011000",
"000000000000000100000000",
"110000101001101010000100",
"111100010111011100001010",
"000011111111011100001001"]);

y:=CambridgeMatrix(1,F,24,[
"001000000000000000000000",
"011000000000000000000000",
"101000000000000000000000",
"000010000000000000000000",
"000000100000000000000000",
"000000010000000000000000",
"000100000000000000000000",
"000000000010000000000000",
"000000000001000000000000",
"000000000000100000000000",
"000001000000000000000000",
"000000000000000100000000",
"000000000000000001000000",
"000000000000000000100000",
"000000000000000000010000",
"000000001000000000000000",
"000000000000000000000100",
"000000000100000000000000",
"000000000000000000000010",
"000000000000000000000001",
"101010101001010000111001",
"100100101100111011001101",
"000000000000010000000000",
"000000000000001000000000"]);

G<x,y>:=MatrixGroup<24,F|x,y>;
print "Group G is U3(8):6 < GL(24,GF(2))";