/*
www-ATLAS of Group Representations.
2.J2 represented as 6 x 6 matrices over GF(49).
*/

F<w>:=GF(49);

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

y:=CambridgeMatrix(3,F,6,\[
0,6,0,0,0,0,
0,0,1,0,0,0,
6,0,0,0,0,0,
0,0,0,0,1,0,
20,5,25,19,29,29,
1,40,16,33,34,27]);

G<x,y>:=MatrixGroup<6,F|x,y>;
print "Group G is 2.J2 < GL(6,GF(49))";