# Group whose order has at most two prime factors

From Groupprops

This article defines a property that can be evaluated for finite groups (and hence, a particular kind of group property)

View other properties of finite groups OR View all group properties

## Contents

## Definition

A **group whose order has at most two prime factors** is a finite group such that there are at most two prime numbers which divide the order of the group. In other words, the order of the group has the form where are prime numbers and are nonnegative integers.

## Relation with other properties

### Stronger properties

### Weaker properties

- Solvable group:
`For full proof, refer: Order has only two prime factors implies solvable`