genus Pinicola vs bird genus

genus Pinicola and bird genus both are nouns.

Word	Noun	Adjective	Verb	Adverb
genus Pinicola	Yes	No	No	No
bird genus	Yes	No	No	No

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

genus Pinicola: a genus of Fringillidae, containing the pine grosbeak and the crimson-browed finch (Pinicola)
bird genus: a genus of birds

genus Pinicola (noun)	bird genus (noun)
a genus of Fringillidae, containing the pine grosbeak and the crimson-browed finch (Pinicola)	a genus of birds