  We prove two results about quantum doubles of finite groups over the complex
field. The first result is the integrality theorem for higher Frobenius-Schur
indicators for wreath product groups S_N#A^N, where A is a finite abelian
group. A proof of this result for A=1 appears in arXiv:1208.4153. The second
result is a lower bound for the largest possible number of irreducible
representations of the quantum double of a finite group with at most n
conjugacy classes. This answers a question asked to me by Eric Rowell.
