---
tag: 0H11ZPX4ND
kind: concept
name: Conjugate subgroup
msc: ["20E45"]
sources:
  - url: https://en.wikipedia.org/wiki/Conjugacy_class
    locator: Conjugacy of subgroups and general subsets
---

## Summary

A conjugate of a subgroup $H$ of a group $G$ is a subgroup $gHg^{-1}$ for some $g \in G$.
Conjugate subgroups are isomorphic.