This appears to be a bug, more than a feature request - but have been requested to add it here.

After I edit a Group in the Admin Center, the group panel stays open in the right hand panel but if I try to make a subsequent edit of anything to do with the group and hit Save, it says that the group already exists. I need to close the panel and reopen the group to make a change ... it is a bit annoying because if I just forgot a small thing , I have to go and redo the edit after reopening the group.

When I click Save the second time I get an error saying 'Group name already exists. Please choose another name.' because the system seems to have forgotten that the panel open is an existing group, and won't allow a duplicated name.