Oh, I am so sorry you feel the way you do...but I noticed one comment I really want to reiterate.
She will only be this young once and literally, I have had several crying sessions over the fact that I did not cherish EACH AND EVERY MOMENT of my first daughter's babyhood. I know some days are trying, but just look for the best in everything and remind yourself that they do grow up.
I mean, my oldest is only 5 (almost 6) but is basically independent. She dresses herself, takes care of her grooming (although I still wash her hair), grabs her own snacks, reads to herself (although I still read plenty), and on occasional days even wants to make her own lunch. I really miss doing so much with her, and love to clip her nails now because that's one of the few "care" things I have left that she can't do herself.
I hear you on the "mommy" groups for EXACTLY the same reason. My suggestion would be to try and find a good church, and start attending. She's coming up on the age where she will be able to start Sunday School, you will enjoy Sunday School and the service, and it can grow to a whole new family to love you.