# Characteristic maximal subgroup of group of prime power order

From Groupprops

This page describes a subgroup property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: characteristic subgroup and maximal subgroup of group of prime power order

View other subgroup property conjunctions | view all subgroup properties

## Contents

## Definition

A subgroup of a group of prime power order is termed a **characteristic maximal subgroup of group of prime power order** if it is a characteristic subgroup as well as a maximal subgroup (in particular, a maximal subgroup of group of prime power order).