Dalek splinter group
As recorded in the Dalek Combat Training Manual the Time Lords made reference to Dalek splinter groups which deviated from conventional Dalek mentality and authority. (PROSE: Dalek Combat Training Manual)
The Time Lords believed the first instance of a Dalek splinter group (PROSE: Dalek Combat Training Manual) to be the Humanised Dalek, originally test Daleks who were implanted with the Human Factor as part of the Dalek Emperor's Operation Human Factor. Though this was intended by the Emperor to isolate the Dalek Factor and implant it in humans, the Second Doctor saw that many Humanised Daleks were created. These Daleks went on to question their orders, leading to a Dalek Civil War within the Dalek City on Skaro. (TV: The Evil of the Daleks)