The Dragons were a sports team. In early 2377, they had won the pennant.

Reginald Barclay, explaining his depressed state to Counselor Deanna Troi, mentioned that in the happier times while he was dating Leosa "the Dragons had just won the pennant." (VOY: "Inside Man")

The authors of the Star Trek Encyclopedia (4th ed., vol. 1, p. 218) identified the Dragons as a baseball team because of the use of the phrase "won the pennant", which was "reasonably specific" to this sport.