/*
www-ATLAS of Group Representations.
2.M12.2 represented as 12 x 12 matrices over GF(25).
*/

F<w>:=GF(25);

x:=CambridgeMatrix(3,F,12,\[
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,
0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,1,0]);

y:=CambridgeMatrix(3,F,12,\[
0,0,1,0,0,0,0,0,0,0,0,0,
2,4,4,0,0,0,0,0,0,0,0,0,
3,4,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,
0,10,20,5,18,11,7,12,1,0,7,0,
2,0,3,2,2,1,1,4,0,1,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,
24,13,2,6,1,24,23,14,0,0,22,1]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is 2.M12.2 < GL(12,GF(25))";