genus Livistona vs plant genus

genus Livistona and plant genus both are nouns.

Word	Noun	Adjective	Verb	Adverb
genus Livistona	Yes	No	No	No
plant genus	Yes	No	No	No

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

genus Livistona (noun)	plant genus (noun)
fan palms of Asia and Australia and Malaysia	a genus of plants