They are the middle tier sorority. They used to be good, but they are slipping hard now. In no particular order the top tiers ones are ADPi, Alpha Xi, and Phi Mu. The bottom ones are AGD, Alpha Phi, and AXO. ZTA is just in the meh. Nothing too special about them, but nothing that bad either.
Hard to keep a good rep when you only hang out at one place. I have met very few zetas and they are always rude and they aren't even holding up the "hottest sorority" thing anymore. their girls are mediocre at best, definitely not any better then any other girls on campus.
Zeta is definitely middle tier now. They are not even good anymore! They just try to keep up appearances but that's hard when you never actually come out of your house. They are not involved, not nice, have crappy sisterhood and aren't even pretty anymore. Any positive post for Zeta is by a zeta.