# Direct factor of complemented normal subgroup

From Groupprops

This page describes a subgroup property obtained as a composition of two fundamental subgroup properties: direct factor and complemented normal subgroup

View other such compositions|View all subgroup properties

## Contents

## Definition

### Definition with symbols

A subgroup of a group is termed a **direct factor of complemented normal subgroup** if there exists an intermediate subgroup of containing such that is a direct factor of and is a complemented normal subgroup of .