Extension:UserGroups

The UserGroups extension adds a special page called Special:UserGroups that allows the user accessing it the ability to create, delete, modify and configure user groups in terms of the user rights registrations or associations with it. It could be thought of as a revival of the now defunct. This is different from Special:UserRights, which only determines how to allocate user rights to certain users based upon membership of certain user groups.

It is not possible to configure or  that way; such must be done in LocalSettings.php. Also, be careful when removing groups - doing so incorrectly can lock you out of your wiki! It is not possible to remove some system-created rights (such as CheckUser) completely through this extension; see instead on how to do this manually.

User rights
However, if you want to grant this right to other groups, add this to LocalSettings.php.
 * modifygroups - Determines control of access to the Special:UserGroups special page interface, or in essence who is allowed to modify and configure user groups and their associated permissions. By default, this access is restricted to bureaucrats.