extolment vs commendation

extolment and commendation both are nouns.

Word	Noun	Adjective	Verb	Adverb
extolment	Yes	No	No	No
commendation	Yes	No	No	No

As nouns, commendation is a hypernym of extolment; that is, commendation is a word with a broader meaning than extolment:

Other hypernyms of extolment include approval.

extolment (noun)	commendation (noun)
an expression of approval and commendation	an official award (as for bravery or service) usually given as formal public statement
	a message expressing a favorable opinion