Omega system
The Omega system was an inhabited planetary system in the Beta Quadrant. This system included Holberg 917G, a small planet with two moons, purchased by Mr. Brack in 2239. () 

The  visited the system in 2269, on stardate 5843.7, in order to obtain the ryetalyn from Holberg 917G that would combat the deadly Rigelian fever threatening its crew. ()

In 2259, the location of this system was labeled on a stellar cartography chart that was seen on the 's ready room viewscreen. This system's symbol had a white color, indicating that it was a non-aligned system. () 

In 2399, the system's location was labeled on a Federation star chart that was in Fleet Admiral Kirsten Clancy's office at Starfleet Headquarters. This system was in or near to Federation space. ()

See also 
 Omega sector

Appendices

Background information 
Based on the "The Explored Galaxy" star chart, there were two systems that shared the name Omega. The first system contained the planet Omega IV and the second, which was closer to Sol, contained the planet Holberg 917G.

Apocrypha 
According to Star Trek Maps (p. 28) though, both planets were located in the same Omega system. Holberg 917G being the seventh planet and Omega IV the fourth.

External link 
 

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Star systems