My understanding is that ASU recruitment is pretty darn competitive. You might want to do what you can to secure some recs.
This thread may help.
These are the NPC groups at ASU:
Alpha Chi Omega
Alpha Delta Pi
Alpha Gamma Delta
Alpha Phi
Chi Omega
Delta Gamma
Gamma Phi Beta
Kappa Alpha Theta
Kappa Kappa Gamma
Pi Beta Phi
(I understand that Kappa Delta is there now, too, or coming soon)
Links to the Hispanic Greek Council and the National Pan-Hellenic Council are also here:
http://www.asu.edu/mu/greeklife/councils.htm