Wow, what a response this has generated. This is great!

I had thought that the older NPC groups go by "fraternity", whereas the younger groups go by "sorority" (generally speaking...not etched in stone), but upon closer examination, this doesn't appear to be true either, since Kappa Delta and Gamma Phi Beta are definitely in the older end of the spectrum and they both go by "sorority" (at least KD's website refers to itself as "Kappa Delta" sorority)
Some thoughts:
it would appear to me, that men's groups use fraternity from the Latin:
i.e. fraternity = frater (brother)
whereas women's groups use it from the Greek:
i.e. fraternity = phratria (similar bond or interest)....(although then, wouldn't it be spelled
phraternity?? Just a thought..