ostentation vs inelegance

ostentation and inelegance both are nouns.

Word	Noun	Adjective	Verb	Adverb
ostentation	Yes	No	No	No
inelegance	Yes	No	No	No

As nouns, inelegance is a hypernym of ostentation; that is, inelegance is a word with a broader meaning than ostentation:

ostentation: lack of elegance as a consequence of being pompous and puffed up with vanity
inelegance: the quality of lacking refinement and good taste

ostentation (noun)	inelegance (noun)
pretentious or showy or vulgar display	the quality of lacking refinement and good taste
lack of elegance as a consequence of being pompous and puffed up with vanity
a gaudy outward display