/*
www-ATLAS of Group Representations.
S8(2) represented as 8 x 8 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,8,[
"10000000",
"11010001",
"10110001",
"10101011",
"00001000",
"10111111",
"10010011",
"10111010"]);

y:=CambridgeMatrix(1,F,8,[
"01000010",
"01001000",
"00011101",
"01110110",
"10101010",
"10111010",
"01011100",
"00011111"]);

G<x,y>:=MatrixGroup<8,F|x,y>;
print "Group G is S8(2) < GL(8,GF(2))";