genus Halicoeres vs fish genus

genus Halicoeres and fish genus both are nouns.

Word	Noun	Adjective	Verb	Adverb
genus Halicoeres	Yes	No	No	No
fish genus	Yes	No	No	No

As nouns, fish genus is a hypernym of genus Halicoeres; that is, fish genus is a word with a broader meaning than genus Halicoeres:

genus Halicoeres: a genus of Labridae containing 81 species of wrasses (Halicoeres)
fish genus: any of various genus of fish

genus Halicoeres (noun)	fish genus (noun)
a genus of Labridae containing 81 species of wrasses (Halicoeres)	any of various genus of fish