/*
www-ATLAS of Group Representations.
S4(4):2 represented as 8 x 8 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,8,[
"01000000",
"10000000",
"00010000",
"00100000",
"00000010",
"00000001",
"00001000",
"00000100"]);

y:=CambridgeMatrix(1,F,8,[
"00100000",
"01100000",
"00001000",
"00000100",
"10101000",
"11001101",
"10011100",
"10111111"]);

G<x,y>:=MatrixGroup<8,F|x,y>;
print "Group G is S4(4):2 < GL(8,GF(2))";