/*
www-ATLAS of Group Representations.
2.S7 represented as 20 x 20 matrices over GF(49).
*/

F<w>:=GF(49);

x:=CambridgeMatrix(3,F,20,\[
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
10,20,0,44,22,15,13,35,38,23,28,27,41,4,3,34,2,24,6,30,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
33,29,35,22,36,19,45,16,33,44,35,35,46,26,5,10,6,1,48,15,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
41,3,14,46,34,4,46,16,39,47,9,22,10,45,13,43,41,6,2,20,
15,43,36,13,29,18,13,45,39,38,9,31,27,34,39,0,45,43,43,38,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0]);

y:=CambridgeMatrix(3,F,20,\[
41,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
47,41,1,0,18,0,0,46,0,0,0,0,15,0,0,0,0,0,0,0,
6,1,9,28,26,31,19,41,13,45,35,43,9,46,26,23,37,23,47,22,
24,16,47,17,1,32,31,26,9,38,41,39,26,18,31,22,26,9,35,28,
46,16,6,46,8,8,17,29,11,7,25,45,31,13,32,5,32,16,34,9,
25,28,35,2,31,23,17,44,37,32,20,33,38,3,21,0,34,42,10,16,
20,13,19,15,47,43,7,1,35,28,18,32,21,28,22,7,29,19,1,29,
29,28,8,9,43,7,37,26,41,5,45,25,41,26,3,40,26,40,1,24,
46,16,30,27,40,43,47,21,40,2,47,41,47,33,43,22,23,15,20,39]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is 2.S7 < GL(20,GF(49))";