Once you are logged into Weplay and on your group page, click on "more actions..." (located just below the avatar). Next all you have to do is click "Delete Group" and your group will be removed from the site.

I have same question as Coach Waliczek about deleting a group in Weplay. I followed your directions but when you click 'more actions' 'delete group' is not included in the actions that can be completed.