/*
www-ATLAS of Group Representations.
L2(19) represented as 5 x 5 matrices over GF(19).
*/

F:=GF(19);

x:=CambridgeMatrix(3,F,5,\[
0,1,0,0,0,
1,0,0,0,0,
0,0,0,1,0,
0,0,1,0,0,
16,3,13,6,1]);

y:=CambridgeMatrix(3,F,5,\[
1,0,0,0,0,
0,0,1,0,0,
11,18,18,0,0,
0,0,0,0,1,
2,0,0,18,18]);

G<x,y>:=MatrixGroup<5,F|x,y>;
print "Group G is L2(19) < GL(5,GF(19))";