/*
www-ATLAS of Group Representations.
2.S4(11) represented as 4 x 4 matrices over GF(11).
*/

F:=GF(11);

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

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

G<x,y>:=MatrixGroup<4,F|x,y>;
print "Group G is 2.S4(11) < GL(4,GF(11))";