# Pariah

From Groupprops

*This article is about a term related to the Classification of finite simple groups*

*This article defines a group property that can be evaluated, or makes sense, for simple groups*Template:List-clubbed

## Definition

### Implicit definition

A **pariah** is a sporadic simple group that does not occur as a subquotient of the Monster group.

### Explicit definition

The following are the pariahs:

- Three of the Janko groups viz , and
- The O'Nan group
- The Rudvalis group
- The Lyons group