- You may be looking for the book and audio series.
Faction Paradox, once known as House Paradox, were a time-active faction devoted to the promulgation of temporal paradoxes and opposed to the Time Lords and their philosophy of rationality and stability. Founded by Grandfather Paradox, their base was located in the Eleven-Day Empire. They delighted in creating time paradoxes and played a neutral role in the War between the Time Lords and the Enemy.
Grandfather Paradox, a member of the House of Lungbarrow, seceded from Lungbarrow and created House Paradox about four hundred years before the First War in Heaven. (PROSE: Christmas on a Rational Planet) The House was unpopular for their penchant for death fetishism (which mocked the Time Lords' pretension of immortality) and due to Grandfather Paradox's use of the title "Grandfather" (a term offensive to the Time Lords, since they had been made sterile by the curse of the last Pythia). Most offensive, though, was the House's open interest in perverting the Web of Time.
Around two thousand years before the Second War in Heaven, House Paradox had a homeworld to itself, where they became a corrupted society, getting involved in sordid criminal activities including peddling time travel technology to other races. They believed their use of blood rites would protect them from any retaliation by the Time Lords. These protections were inadequate and the Time Lords wiped out the inhabitants of the Paradox homeworld. A few members survived and continued their activity of sharing advanced technology with the natives on colonies. During their recovery, they built up cults and secret societies throughout the universe, including the Order of the Rectangle, the Cult of the Black Sun and Luminus. (PROSE: Interference - Book One)
Erasure from the timeline edit
Later events involving the Eighth Doctor and Grandfather Paradox allowed the central paradoxes of the War to be resolved, effectively eliminating the entire War from the Web of Time, and destroying Gallifrey along with the Faction themselves. (PROSE: The Ancestor Cell) The Faction fleet disappeared from history shortly before Gallifrey exploded. (PROSE: The Gallifrey Chronicles)
The Faction used a brand of technology which openly mocked the laws of reality, being apparently powered by a form of voodoo rather than any actual form of physics. They used a variety of travel technology, from time-travelling shrines mocking the basic structure of a TARDIS to massive warships converted from the skeletal remains of Daemons.
Incapable of reproducing themselves, the Faction tried to use a form of Loom to create new members. While they did use the technology, it was eventually eschewed in favour of Remembrance tanks and new converts rather than outright creating new acolytes. (PROSE: Interference - Book One)