Alone in my sorority

I’ve been i my sorority for almost two years. I’m a junior and decided to rush in the beginning of my second year. I’ve always had a very difficult making friends and even worse at maintaining friendships. When I joined my sorority I thought it would be a new opening to me. But I’ve just felt extremely distant from everyone. I don’t have a group a friends, I rarely get invited to go out even though I would ask girls personally and even in our group chat. After we got our bigs I thought things would change a little but that was far from the truth. I don’t talk to my big much nor do I with my Greek family, I feel like I have nothing in common with any of the girls. I even considered dropping my sorority because of the experiences I’ve been having but decided to take a leadership to really out myself out there. I feel like I can’t tell anyone though because it’s not usually something your hear from a girl in a sorority. Usually you see groups of girls ( in the same sorority or different sorority’s ) walking around campus laughing and going out to party, for brunch, to pre before semi, but I don’t have that. And it kills me on the inside knowing I might never have that.