In 2364, the location of Groombridge 34 was labeled in a star chart of a stellar neighborhood with Sol at the center. This chart was stored in the USS Enterprise-D library computer. Later that year, the chart was scanned by Outpost 63. (TNG: "The Naked Now", production art; TNG: "The Last Outpost")
Background information Edit
This star system was only mentioned in writing.
The star chart naming stars within twenty light years of Sol was drawn by Rick Sternbach for the Star Trek Spaceflight Chronology (p. 77) in the late 1970s. This chart showed Earth commercial and exploration routes after the use of warp drive began. There were no commercial or exploration routes to Groombridge 34.
According to Star Trek: Star Charts (p. 44) and Stellar Cartography: The Starfleet Reference Library ("Federation Historical Highlights, 2161-2385"), Groombridge 34 was located in the Alpha Quadrant. This was a trinary star system of three M-class stars. In the late 24th century, it was an independent system.