I've done some tinkering with social groups and got them into five or so categories. Random is pretty much the ones I didn't know where to put.
Anyway, social group leaders can happily look at the category I dropped theirs into, and I think you can move it if you so choose. However, I will warn you that I spent five minutes on this, so if you have any suggestions on categories or where your group should be moved I'm more than willing to hear them.
I am not creating a category for one social group, though. Not even I'm that special.