/*
www-ATLAS of Group Representations.
S8 represented as 6 x 6 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,6,[
"010000",
"100000",
"001000",
"000100",
"000010",
"000001"]);

y:=CambridgeMatrix(1,F,6,[
"001000",
"011000",
"000100",
"000010",
"000001",
"111010"]);

G<x,y>:=MatrixGroup<6,F|x,y>;
print "Group G is S8 < GL(6,GF(2))";