The Omega sector was a remote area of Federation space.
In 2354, a remote outpost in the Omega sector became the last recorded location of the Hansen family, who refused to file a flight plan. The Hansens, who had dedicated their careers to studying the Borg, set a course for the Delta Quadrant, and were not heard from again. In 2374, Kathryn Janeway managed to locate this piece of information in the records of Deep Space 4, while researching the background of the Hansens' young daughter, Annika, who had been assimilated by the Borg and transformed into the USS Voyager's newest crewmember, Seven of Nine. (VOY: "The Gift")