The Fabrina solar system was a planetary system. The primary was named Fabrina. In 8,000 BC, this system was destroyed when Fabrina supernovaed. Before its destruction, the system had eight planets, one of which was the homeworld for a humanoid species, the Fabrini. The system was depicted in the Book of the People. (TOS: "For the World is Hollow and I Have Touched the Sky")
This system was located in the Alpha Quadrant. Its location in the Milky Way Galaxy was depicted on a Federation star chart in 2293. (Star Trek VI: The Undiscovered Country)
The location of Fabrina
on "The Explored Galaxy" star chart
In the "The Explored Galaxy" star chart, Fabrina was located between the Tholian Assembly and Romulus. Both were identified in DS9: "Call to Arms" as being located in the Alpha Quadrant.
According to the novel Ex Machina, The name of the star for this system was Ganidra.