/*
www-ATLAS of Group Representations.
A8 represented as 14 x 14 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,14,[
"01000000000000",
"00010000000000",
"00000100000000",
"10000000000000",
"00100000000000",
"00001000000000",
"00000000100000",
"01010010000000",
"11000001000000",
"00000000000010",
"00100100001000",
"00101000010000",
"00001100000100",
"00001110100001"]);

y:=CambridgeMatrix(1,F,14,[
"00100000000000",
"00001000000000",
"00000010000000",
"00101100000000",
"01101000000000",
"00000001000000",
"00000000010000",
"00000000001000",
"00000000000100",
"11101000000000",
"00000000000001",
"11111111011111",
"01111000000000",
"01111101101110"]);

G<x,y>:=MatrixGroup<14,F|x,y>;
print "Group G is A8 < GL(14,GF(2))";