/*
www-ATLAS of Group Representations.
2S5 represented as 2 x 2 matrices over GF(25).
*/

F<w>:=GF(25);

x:=CambridgeMatrix(3,F,2,\[
4,0,
18,1]);

y:=CambridgeMatrix(3,F,2,\[
0,1,
1,14]);

G<x,y>:=MatrixGroup<2,F|x,y>;
print "Group G is 2S5 < GL(2,GF(25))";