/*
www-ATLAS of Group Representations.
2.M22.2 represented as 10 x 10 matrices over GF(11).
*/

F:=GF(11);

x:=CambridgeMatrix(3,F,10,\[
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,
0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,
7,4,8,3,3,1,8,0,0,0,
0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,
7,4,4,7,2,0,9,0,1,0,
1,10,0,0,10,0,1,0,0,1]);

y:=CambridgeMatrix(3,F,10,\[
1,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,
1,10,10,0,10,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,1,0,
10,0,0,10,0,10,0,10,0,0,
0,0,0,0,0,0,0,0,0,1,
10,0,0,0,0,0,10,0,10,10]);

G<x,y>:=MatrixGroup<10,F|x,y>;
print "Group G is 2.M22.2 < GL(10,GF(11))";