Here are a list of the locals that are on campus, have been on campus at one point, or are currently dormant:
Sororities
Gamma Chi Sigma (active)
Beta Beta Gamma (had been dormant for a few years, currently active)
Phi Sigma Rho (dormant)
Wakaba Kai Sorority (dormant)
Kappa Sigma Chi (unknown...they haven't been around for a long time)
Fraternities
Kappa Epsilon Theta (we called em the KEOs, the only group with a house, even though it was a piece of isht...they had a site, but the link's broken)
Phi Delta Sigma
Imiloa Fraternity
This Fall, only Gamma Chi Sigma, Beta Beta Gamma, and the KEOs held Fall Rush. With the locals, a rushee does not have to be an enrolled student at UH-M. They've accepted rushees from community colleges within the UH system before. The fraternities are kinda shady, sometimes I get the feeling that most of their members don't even GO to school.
Greek Life began at UH-Manoa about a decade after the college was established. The majority of them began as ethnic-interest groups, but later adopted Greek letters after WWII to include a bigger variety of students as enrollment at UH-M was on the rise.
Inter/national fraternities found its way to campus in the late 80s/early 90s with the arrival of Beta Theta Pi, Tau Kappa Epsilon, and Sigma Phi Epsilon. TKE is still on campus, but I hear there are efforts to recolonize Beta and SigEp. Alpha Gamma Delta colonized in 1991, and chartered March 1992. Kappa Sigma is the newest fraternity on campus. Their successful colonization led to their chartering, and this happened just a few weeks ago.