I was making this in paragraph form and it came out a mess so here are my suggestions by category:
Social/Greek groups- AXO alumnae group, Beta Sigma Phi, the Junior League.
Community groups- Community choir/band, running clubs, hiking/outdoors club, book clubs.
Classes- Community college classes (enrichment or for credit), dance classes (ballroom, ballet, jazz, tap, etc), martial arts classes, community center/school district run classes (they often have some for things like cooking, knitting, or crafting), local YMCA classes.
Volunteering- Habitat for Humanity, Meals on Wheels, the Humane Society, the SPCA, women's shelters, soup kitchens, etc.
Local attractions- bars/clubs (if that is your scene), local historical sights, trails, etc.
Places of worship- somewhat self explanatory however most also have small groups that meet as well as potentially age-oriented groups (i.e. college and career group) as well as events that could help you feel more a part of the church/temple and less like a visitor.
In all of these places you are going to have to work to feel like you fit in, for the most part. I know that it can be super disheartening (especially at a church or place of worship) to not feel close to those around you, but it does take time and honestly, some people just have a hard time making others feel welcome. However I'm sure that with your wonderful conversation and social skills learned from your sorority, you will have friends in no time.
Just don't give up and remember that we're here (however virtually) for you.
