/*
www-ATLAS of Group Representations.
2S5 represented as 4 x 4 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,4,[
"4000",
"0010",
"0100",
"4231"]);

y:=CambridgeMatrix(1,F,4,[
"0100",
"0001",
"1200",
"2040"]);

G<x,y>:=MatrixGroup<4,F|x,y>;
print "Group G is 2S5 < GL(4,GF(5))";