/*
www-ATLAS of Group Representations.
S5 represented as 4 x 4 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,4,[
"0100",
"1000",
"0010",
"0011"]);

y:=CambridgeMatrix(1,F,4,[
"0010",
"0001",
"1001",
"0100"]);

G<x,y>:=MatrixGroup<4,F|x,y>;
print "Group G is S5 < GL(4,GF(2))";