# Hall subgroup of normal subgroup

From Groupprops

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

View other such compositions|View all subgroup properties

## Contents

## Definition

A subgroup of a finite group is termed a **Hall subgroup of normal subgroup** if it can be expressed as a Hall subgroup of a normal subgroup.

## Relation with other properties

### Stronger properties

### Weaker properties

## Metaproperties

### Intermediate subgroup condition

YES:This subgroup property satisfies the intermediate subgroup condition: if a subgroup has the property in the whole group, it has the property in every intermediate subgroup.ABOUT THIS PROPERTY: View variations of this property satisfying intermediate subgroup condition | View variations of this property not satisfying intermediate subgroup conditionABOUT INTERMEDIATE SUBROUP CONDITION:View all properties satisfying intermediate subgroup condition | View facts about intermediate subgroup condition