/*
www-ATLAS of Group Representations.
12b.L3(4) represented as 12 x 12 matrices over GF(49).
*/

F<w>:=GF(49);

x:=CambridgeMatrix(3,F,12,\[
6,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,
41,10,31,16,1,35,0,42,33,0,35,15,
0,0,0,0,0,0,1,0,0,0,0,0,
19,30,23,32,38,44,0,42,17,0,7,3,
3,35,5,40,5,9,0,1,5,0,23,17]);

y:=CambridgeMatrix(3,F,12,\[
0,1,0,0,0,0,0,0,0,0,0,0,
6,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,1,
0,0,1,0,0,0,0,0,0,0,0,0,
43,12,0,30,8,45,0,0,45,46,8,43,
9,11,18,15,10,38,1,0,41,0,46,0,
36,6,1,0,0,6,0,1,0,0,0,0]);

_L:=MatrixGroup<12,F|x,y>;
//print "Group G is 12b.L3(4) < GL(12,GF(49))";
return _L;
