It might be tricky to give a group admin to decide what data they want to show to other users.
But there is a way to detect if current user is admin or not.
With osapi.people.getViewer() you can detect current user.
And with jive.tile.getContainer() you can get all information of a group, including some resource url to get owners and members of the group.
you can use this to create some config options for the group admin.
Like for example a simple checkbox decides if this logic should be triggered or now.