No I believe an outcast is someone who is cast out of a group because they are not liked. From the way you quoted fit in and friends, it sounds like you are in a group, but you are not close to any particular person in that group, and they do not consider you a part of them. Like when they go to movies, you aren't invited. I'm not aware of a specific term for this.
Maybe you don't "fit in" with some people, but apparently you do fit in with others. It is true that everyone is unique (isn't that a paradox; don't know) but if you look around you never know when you'll find people enough like you to be friends. And apparently you did. Congratulations. I don't think it's "called" anything specifically.