Little benchmark for the computation of minimal generating sets on a
500 MHZ PC with GNU/Linux (non modular case):

Natural action of the cyclic group Cn:
 - n=4, dimension 2,  size 2			: .4s	  /  2Mb;
 - n=5, dimension 5,  size 5			: .7s	  /  2Mb;
 - n=6, dimension 6,  size 6			: 5s	  /  3Mb;
 - n=7, dimension 7,  size 7			: 1min	  /  4Mb;

Action of the symmetric group Sn on pairs of {1..n}:
 - n=4, dimension 4,  size 24                   : 3s      /  3Mb;
 - n=5, dimension 10, size 120,  up to degree 12: 8 hours / 50Mb;
 - n=8, dimension 28, size 4032, up to degree 6 : 21hours / 27Mb;