social rank vs quality

social rank and quality both are nouns.

Word	Noun	Adjective	Verb	Adverb
social rank	Yes	No	No	No
quality	Yes	Yes	No	No

As nouns, quality is a hyponym of social rank; that is, quality is a word with a more specific, narrower meaning than social rank:

Other hyponyms of social rank include place, station.

social rank (noun)	quality (noun)
position in a social hierarchy	an essential and distinguishing attribute of something or someone
	(music) the distinctive property of a complex sound (a voice or noise or musical sound)
	a degree or grade of excellence or worth
	a characteristic property that defines the apparent individual nature of something
	high social status

social rank (adjective)	quality (adjective)
	of superior grade
	of high social status