/*
www-ATLAS of Group Representations.
Sz(8) represented as 14 x 14 matrices over GF(49).
*/

F<w>:=GF(49);

x:=CambridgeMatrix(3,F,14,\[
0,1,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,
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,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,
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,
29,29,19,19,28,3,28,3,38,38,38,6,38,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,
5,5,37,37,45,2,45,2,12,0,12,0,0,6]);

y:=CambridgeMatrix(3,F,14,\[
29,6,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,
4,41,33,0,27,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,
34,30,6,27,0,1,6,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,
44,39,40,44,46,43,20,46,19,24,46,18,0,12,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,
16,28,30,1,18,16,33,47,28,37,0,24,46,17,
39,17,4,1,26,0,0,6,0,0,0,27,0,0]);

G<x,y>:=MatrixGroup<14,F|x,y>;
print "Group G is Sz(8) < GL(14,GF(49))";