Let H be a subgroup of G, with index p (prime). What are the possible numbers of conjugate subgroups of H?
I'm pretty lost. I think it has something to do with Sylow's Theorems, and the fact that if p=|G|/|H|, so then p divides|G| and there is a p-Sylow subgroup, and Sylow-p's are conjugate to each other? But then I get really confused and forget what I'm trying to do, and the question didn't say G is finite so I don't even know if that method applies. Any help?