Groups of prime-eighth order

This article is about groups of prime-eighth order, i.e., groups of order $$p^8$$ where $$p$$ is a prime number.

Groups of order $$p^8$$ have not been completely classified for odd primes $$p$$. The classification is complete for the case $$p = 2$$ (see groups of order 256). Further, Higman's PORC conjecture has not been verified for groups of order $$p^8$$.