ostentation vs pedantry

ostentation and pedantry both are nouns.

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

As nouns, pedantry is a hyponym of ostentation; that is, pedantry is a word with a more specific, narrower meaning than ostentation:

Other hyponyms of ostentation include bluster, bravado, exhibitionism, ritz, splurge.

ostentation (noun)	pedantry (noun)
pretentious or showy or vulgar display	an ostentatious and inappropriate display of learning
lack of elegance as a consequence of being pompous and puffed up with vanity
a gaudy outward display