/*
www-ATLAS of Group Representations.
McL represented as 22 x 22 matrices over GF(11).
*/

F:=GF(11);

x:=CambridgeMatrix(3,F,22,\[
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
10,1,3,7,8,3,4,2,6,8,4,7,9,1,5,0,7,4,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
10,1,3,2,8,1,9,8,6,10,10,8,3,0,5,1,1,3,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,3,0,8,2,0,7,8,9,2,6,4,0,3,0,9,5,1,0,0,0,
9,2,8,7,3,1,4,7,6,10,5,5,4,0,5,0,6,6,0,1,0,0,
8,3,0,10,0,10,1,0,4,1,1,1,0,0,7,0,10,10,0,0,1,0,
0,0,6,2,5,6,9,6,6,5,4,9,5,0,5,0,7,2,0,0,0,1]);

y:=CambridgeMatrix(3,F,22,\[
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,9,10,10,10,10,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
10,8,10,0,8,10,0,3,0,0,2,0,0,8,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
10,9,10,10,9,10,0,2,10,0,1,0,0,10,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
7,8,3,7,6,1,5,10,1,2,1,5,9,4,4,9,7,9,4,6,0,3,
3,5,9,1,7,2,1,8,4,10,7,4,1,3,4,5,4,0,8,10,2,10,
3,8,6,0,7,9,0,4,1,4,6,9,2,9,6,2,9,3,0,9,10,5,
8,10,2,5,7,2,2,4,2,5,5,1,3,1,8,6,2,8,6,10,7,9,
9,10,5,0,2,9,4,7,4,7,7,0,7,5,6,9,7,5,2,3,1,7,
5,7,0,9,1,3,5,4,1,4,2,9,3,0,9,8,3,5,2,1,3,1]);

G<x,y>:=MatrixGroup<22,F|x,y>;
print "Group G is McL < GL(22,GF(11))";