Hajj & Umrah

Going for Hajj without a mahram

Q: A woman went on hajj without being accompanied by a mahram. She had sons, but all of them were too busy with their lives to follow her so she went in a large, safe group of women. I know this is impermissible, but what is the ruling regarding the actual hajj - was her fard of hajj fulfilled? Or was it invalid, making it fard for her to repeat the hajj?