As an instructor, you can delete an entire set of groups. However, deleting a Group Set also deletes all the groups within the Group Set.
In Course Navigation, click the People link.
Open Group Set
Click the View User Groups button  or an existing Group Set .
In the Group Set , click the Group Set Settings icon , then click the Delete link .
Note: Deleting a Group Set also deletes all the groups within the Group Set.
Click the Delete button.