aster family vs genus Chrysanthemum

aster family and genus Chrysanthemum both are nouns.

Word	Noun	Adjective	Verb	Adverb
aster family	Yes	No	No	No
genus Chrysanthemum	Yes	No	No	No

aster family (noun)	genus Chrysanthemum (noun)
plants with heads composed of many florets: aster, daisy, dandelion, goldenrod, marigold, lettuces, ragweed, sunflower, thistle, zinnia	in some classifications many plants usually assigned to the genus Chrysanthemum have been divided among other genera: e.g. Argyranthemum, Dendranthema, Leucanthemum, Tanacetum