The Division

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An incarnation of the Doctor, in one of their "Timeless Child" incarnations, was contacted, tested and recruited into the Division by Solpado. Where the policy of the Time Lords was of "strict non-intervention in other worlds and times", the purpose of the Division was to intervene in times when it was necessary. Officially the Division did not exist nor had operatives, and its history was mostly redacted from the Matrix. Eventually, they thanked the Doctor for their service, then wiped their memory.

"For Services To The Division" (TV: The Timeless Children)

In the fictional story of Brendan in the Matrix, one of the clues to the truth was that the carriage clock he was given upon his retirement was dedicated for services to the Division instead of the Garda. (TV: The Timeless Children)

The Gallifreyan Gat and her recruited troop of Judoon were part of a force working for "the glory of Gallifrey", with Gat wearing a uniform similar to Solpado's. When the Doctor tried to escape from service to their organisation, their job was to capture her and punish her for running away. (TV: Fugitive of the Judoon) Eventually, a Judoon cold case unit transmatted inside the Thirteenth Doctor's TARDIS and imprisoned her inside a maximum security facility for her crimes against the Division, among 7000 others, (TV: The Timeless Children) although she eventually escaped. (TV: Revolution of the Daleks)

Behind the scenes