garden pink vs flower

garden pink and flower both are nouns.

Word	Noun	Adjective	Verb	Adverb
garden pink	Yes	No	No	No
flower	Yes	No	Yes	No

As nouns, flower is a hypernym of garden pink; that is, flower is a word with a broader meaning than garden pink:

garden pink: any of various flowers of plants of the genus Dianthus cultivated for their fragrant flowers
flower: a plant cultivated for its blooms or blossoms

garden pink (noun)	flower (noun)
any of various flowers of plants of the genus Dianthus cultivated for their fragrant flowers	a plant cultivated for its blooms or blossoms
	reproductive organ of angiosperm plants especially one having showy or colorful parts
	the period of greatest prosperity or productivity

garden pink (verb)	flower (verb)
	produce or yield flowers