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

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,4,[
"0100",
"1000",
"0010",
"3301"]);

y:=CambridgeMatrix(1,F,4,[
"3100",
"0010",
"0001",
"2102"]);

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