Hi Forum,
Given a finite group G and one of its maximal subgroup M. I want to know the lengths
of the M-orbits on the set {Mx | x in G}. The moset simple way I know is
List(DoubleCosets(G,M,M),x->Size(x)/Size(M));
However, while the index |G:M| is quite large, say 10^6, the above method failed.
Are there any other methods to get the lengths of M-orbits?
I also tried to calculate the cosets set of M in G, but it didn't work either.