aster family vs genus Pyrethrum

aster family and genus Pyrethrum both are nouns.

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

aster family (noun)	genus Pyrethrum (noun)
plants with heads composed of many florets: aster, daisy, dandelion, goldenrod, marigold, lettuces, ragweed, sunflower, thistle, zinnia	used in former classifications for plants later placed in genus Chrysanthemum and now often included in genus Tanacetum