Terran Federation

The Terran Federation, or simply the Federation, was a human state. It existed between at least the 26th and 41st centuries. (AUDIO: Occam's Razor, The Evil of the Daleks)

It operated an orbital genetics laboratory called Pandora Spindle, owned by the Lauren Corporation. (COMIC: Pureblood) It was one of several powers that fought the Daleks in the Great War and freed six planets from their rule. (PROSE: The Evil of the Daleks)

In the 29th century, the Federation possessed 12 battle fleets. (AUDIO: Metafiction)

Kaston Iago and Carnell were fugitives from the Federation. (AUDIO: Occam's Razor).

Behind the scenes
It was hinted but never confirmed that Iago was a pseudonym of the Blake's 7 character Kerr Avon, and that this was the same Federation as the Terran Federation of that show.