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Memory Alpha

The Norkan outposts were a grouping of outposts found in the Norkan system. These outposts were approximately 101 light years from Sol.

Sometime before 2366, these outposts were destroyed by the Romulan military, commanded by Admiral Alidar Jarok, in the Norkan Campaign. The Federation decried the attacks as a massacre. (TNG: "The Defector")

The Star Trek Encyclopedia, 4th ed., vol. 2, p. 87 located the outposts near the Romulan Neutral Zone.
In the Star Trek: Star Charts ("United Federation of Planets I"), the Norkan outposts were listed as a Federation member in 2378.