Would be a great feature.
I would like to see this too, users being able to select their principal group among the groups they belong to, and showing corresponding avatar flair.
It would be great if the title could show an image and not just text.
Instead of showing just “Administrator. Some Other groupr”, to the side of its nick, show small rectangular images.
I think it would not be difficult to implement, just permit select image or inser image code in group title.