Idea I had another day and everyone loved it :lol I know it will never happen but here I go!
It would be cool if once you reach Group level 7, you and your group mates have an option to equip a customizable cloak or vest (leaders chocice).

Customization doesn't have to be complicated... 20 options of color and 20 options of different logos you can apply on the cloak, same goes to vests.

I think it would create Group identity in social areas .