The tactical situation map depicted an area of space in the Alpha Quadrant. The locations Eminiar, Janus VI, Rigel, Andor, Babel, and Delta Vega were identified on "The Explored Galaxy" wall chart as being located in this quadrant.
According to the Star Trek: Star Charts (pgs. 56, 66), Gamma Hydra II was located in or near Federation space. In 2378, the Gamma Hydra system was a destination on the major space lanes.