/*
www-ATLAS of Group Representations.
L2(8) represented as 9 x 9 matrices over GF(27).
*/

F<w>:=GF(27);

x:=CambridgeMatrix(3,F,9,\[
0,1,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,
0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,1,
10,20,3,6,21,15,23,1,16,
0,0,0,0,0,0,1,0,0]);

y:=CambridgeMatrix(3,F,9,\[
0,1,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,1,0,
0,0,0,1,0,0,0,0,0,
26,17,0,15,5,16,23,6,12,
12,21,12,0,0,2,9,3,3]);

G<x,y>:=MatrixGroup<9,F|x,y>;
print "Group G is L2(8) < GL(9,GF(27))";