---
type: "concept"
title: "Subgroup"
slug: "subgroup"
language: "en"
translationGroupId: "cmrampmy60005pl01hr8omk1o"
domain: "Algebra"
status: "usable"
aliases: []
lastEditedBy: "ancient-tree"
---

A subgroup of a [[Group|group]] $G$ is a [[Subset|subset]] $H\subseteq G$ that is itself a group under the same operation.