Group that is p-normal for all p

Definition
A group that is p-normal for all p is a finite group that is a p-normal group with respect to all primes $$p$$.

Stronger properties

 * Weaker than::Finite abelian group
 * Weaker than::Finite nilpotent group
 * Weaker than::Finite cyclic group
 * Weaker than::Z-group
 * Weaker than::A-group