Groups of prime-tenth order

This article is about groups of prime-tenth order, i.e., groups of order $p^{10}$ where $p$ is a prime number.

Groups of order $p^{10}$ have not been completely classified for odd primes $p$. The classification is sort of complete for the case $p=2$ -- the number of groups is known, but explicit presentations of all groups have not been computed (see groups of order 1024). Further, Higman's PORC conjecture has not been verified for groups of order $p^{10}$.