Groups of prime-ninth order

This article is about groups of prime-ninth order, i.e., groups of order $$p^9$$ where $$p$$ is a prime number.

Groups of order $$p^9$$ have not been completely classified for odd primes $$p$$. The classification is complete for the case $$p = 2$$ (see groups of order 512). Further, Higman's PORC conjecture has not been verified for groups of order $$p^9$$.