/*
www-ATLAS of Group Representations.
L5(2) represented as 24 x 24 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,24,[
"010000000000000000000000",
"100000000000000000000000",
"000010000000000000000000",
"110100000000000000000000",
"001000000000000000000000",
"110001000000000000000000",
"110000100000000000000000",
"000000000100000000000000",
"000000011100000000000000",
"000000010000000000000000",
"000000000001000000000000",
"000000000010000000000000",
"000000010100100000000000",
"000000000000000100000000",
"000000010100001000000000",
"000000000000010000000000",
"000000010100000010000000",
"000000000000000000001000",
"000000000000000000000100",
"000000000000000000000001",
"000000000000000001000000",
"000000000000000000100000",
"000000010111000000110111",
"000000000000000000010000"]);

y:=CambridgeMatrix(1,F,24,[
"001000000000000000000000",
"000100000000000000000000",
"000001000000000000000000",
"000000100000000000000000",
"000000010000000000000000",
"000000001000000000000000",
"101011010000000000000000",
"001111010000000000000000",
"010000110000000000000000",
"000000000010000000000000",
"000000000000100000000000",
"000000000000010000000000",
"000000000000001000000000",
"000000000000000010000000",
"000000000000000001000000",
"000000000000000000100000",
"000000000000000000010000",
"000000000100000000000000",
"000000000000000000000010",
"101100101000000001001000",
"110010000101000000000000",
"011011011101110000100110",
"100011111000001000010001",
"011111010111110110100011"]);

G<x,y>:=MatrixGroup<24,F|x,y>;
print "Group G is L5(2) < GL(24,GF(2))";