Isomorph-normal subgroup of group of prime power order

Definition
A subgroup of a group is termed an isomorph-normal subgroup of group of prime power order if the whole group is a group of prime power order and the subgroup is an isomorph-normal subgroup.

Stronger properties

 * Weaker than::Maximal subgroup of group of prime power order
 * Weaker than::Order-normal subgroup of group of prime power order
 * Weaker than::Isomorph-free subgroup of group of prime power order

Weaker properties

 * Stronger than::Normal subgroup of group of prime power order