Rog Prison was a detention facility run by the Ferengi Alliance.

Former DaiMon Bok was incarcerated there after unsuccessfully attempting to exact revenge against Jean-Luc Picard in 2364. Bok eventually bought his way out in 2368, however, and made his way to the Dorias Cluster. (TNG: "Bloodlines")

According to Star Trek: Star Charts ("United Federation of Planets") and Stellar Cartography: The Starfleet Reference Library ("Federation Historical Highlights, 2161-2385"), there was a star system named Rog, in which this prison might possibly have been located, in the Alpha Quadrant. This was a binary system with a F-class star and an A-class star.
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