Odd-order p-group

Definition
An odd-order p-group, or a group of odd prime power order, is defined in the following equivalent ways:


 * Its order is an odd number and is also a prime power.
 * Its order is a power of an odd prime.

Stronger properties

 * Weaker than::Odd-order Abelian p-group
 * Weaker than::Group of odd prime order

Weaker properties

 * Stronger than::Odd-order nilpotent group
 * Stronger than::Odd-order group