Source: wikibot/maximal-subgroup
= Maximal subgroup
{wiki=Maximal_subgroup}
In group theory, a branch of abstract algebra, a **maximal subgroup** is a specific type of subgroup of a given group. A subgroup \\( M \\) of a group \\( G \\) is called a maximal subgroup if it is proper (meaning that it is not equal to \\( G \\)) and is not contained in any other proper subgroup of \\( G \\). In other words, there are no subgroups \\( N \\) such that \\( M \< N \< G \\).