GDI (God Damn Independents) was always my favorite fraternity/sorority (bad terms to get point across) in college. We had much better and more inclusive house parties (which didn't have to involve sex or beer or even a house). No hazing, no codes, no faux brotherhood/sisterhood, no segregation, just DIY.

Nowadays, I'd probably call it FI (Fucking Independents) to remove the religious baggage.