The Hope Foundation was a charity founded by Vortia Trear in the wake of the Dalek invasion of Earth in 200,100. Trear was based at the Trear Station, repurposed from the Game Station combined with several starliners and a couple of freight ships. Ostensibly, its purpose was to help the remaining humans relocate off the devastated planet, and "forge a new life". However, those who were "resettled" were never heard from again.
In reality, the Hope Foundation was a front. Trear was actually one of a rich elite of humans in the space beyond that had always looked out for themselves and plotted to exploit those below for whatever purposes served them. In 200,101, Jack Harkness and Silo Crook, both suspicious of the Hope Foundation, made their way aboard Trear Station where they discovered its true nature. In the ensuing revolt, Trear was deposed and betrayed by her assistant Gorky Sax, who removed her eyes with which he intended to access her great wealth. Back on Earth, Jack, having landed Trear Station down safely, saw that an abundance of resources was salvaged from the grounded station and was confident that humanity would ultimately rebuild itself. (AUDIO: The Year After I Died)