Ok, I got another one....and I have no idea how you'd group this...and this would take some work....
PHILANTHROPIES!
The only suggestion I have for anyone who would take this on is to group the soroites that don't have national philanthropies in one category and maybe those that have to do with disabilities, kids, diseases, etc...
ETA: This has become a great way to find things in common with other soroities that you may have never thought of!