---
tag: 0PHTC93M58
kind: concept
name: Composition factors
msc: ["20E15", 20D30]
sources:
  - url: https://en.wikipedia.org/wiki/Composition_series
    locator: For groups
---

## Summary

The composition factors of a group are the factor groups of a composition series.
By the Jordan–Hölder theorem, they do not depend on the choice of the series, up to order and isomorphism.