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

F:=GF(11);

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

y:=CambridgeMatrix(3,F,10,\[
5,3,4,9,7,1,1,9,7,8,
4,9,4,7,8,8,0,1,8,6,
1,4,10,2,4,2,10,9,9,8,
3,6,9,8,3,0,6,3,3,9,
3,8,5,8,4,10,7,8,6,0,
0,3,4,4,1,2,6,9,2,7,
0,4,9,9,1,7,0,9,2,8,
2,1,10,0,0,8,6,10,3,10,
4,10,0,3,9,2,6,2,1,5,
10,9,1,10,5,3,5,4,0,4]);

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