/*
www-ATLAS of Group Representations.
L2(23) represented as 9 x 9 matrices over GF(23).
*/

F:=GF(23);

x:=CambridgeMatrix(3,F,9,\[
0,1,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,
0,0,0,0,0,1,0,0,0,
0,0,1,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,
5,18,12,4,11,19,15,1,8,
0,0,0,0,0,0,1,0,0]);

y:=CambridgeMatrix(3,F,9,\[
0,0,1,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,
1,22,0,1,0,0,0,0,0,
1,0,22,1,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,1,0,
22,0,0,22,22,0,22,0,0,
5,9,6,13,18,6,1,0,18,
22,8,3,10,9,9,8,15,0]);

G<x,y>:=MatrixGroup<9,F|x,y>;
print "Group G is L2(23) < GL(9,GF(23))";