Nontrivial semidirect product of cyclic groups of prime-square order
This article is about a family of groups with a parameter that is prime. For any fixed value of the prime, we get a particular group.
View other such prime-parametrized groups
Explicitly, it is given by:
Its GAP ID is for those primes where these GAP IDs are defined.
The group can be defined in the following alternative ways:
- For odd it it is the second omega subgroup of the Sylow subgroup of holomorph of cyclic group of prime-cube order.