# Isomorph-normal subgroup of group of prime power order

From Groupprops

This article describes a property that arises as the conjunction of a subgroup property: isomorph-normal subgroup with a group property imposed on theambient group: group of prime power order

View a complete list of such conjunctions | View a complete list of conjunctions where the group property is imposed on the subgroup

## Contents

## 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.

## Relation with other properties

### Stronger properties

- Maximal subgroup of group of prime power order
- Order-normal subgroup of group of prime power order
- Isomorph-free subgroup of group of prime power order