genus Cygnus vs bird genus

genus Cygnus and bird genus both are nouns.

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

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

genus Cygnus (noun)	bird genus (noun)
a genus of Anatidae, containing the swans (Cygnus)	a genus of birds