/*
www-ATLAS of Group Representations.
J2 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,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,
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,
47,9,47,9,8,48,1,32,6,24,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,
25,31,41,15,43,13,5,14,2,35,0,31,25,1]);

y:=CambridgeMatrix(3,F,14,\[
5,6,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,
5,3,2,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,
6,2,1,0,6,0,0,1,6,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,
6,5,5,6,0,1,0,0,0,6,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,
45,35,41,23,32,45,32,36,9,47,36,9,6,6]);

G<x,y>:=MatrixGroup<14,F|x,y>;
print "Group G is J2 < GL(14,GF(49))";