In the same way you can add a badge or send a message, it’d be great if you could view a user’s groups, and add/invite the user to a group directly from their profile in control.
Use case: I have a group for our super users and so each time I add a new one, I have to go into Platform > Groups > [the group} > Invite member to add them. Most everything else: editing their role, awarding them a badge, etc can be done on the User profile page in Control.