Comment 2 for bug 1722180

On further reflection we will need to differentiate between
* auto-created groups via web services / CSV files - should not be able to change shortname
* manually created / copied groups - should be able to change shortname

If we do leave it up to group admins to be able to change shorname, I'd say it would need to be any group admin.

We should also allow the changing of the name / shortname via the Administration -> Groups -> Manage configuration screen. That way the site admin does not need to be a admin of the group to change these two values.

They would / should know if there was some auto-process involved in setting up the group when editing them.