vengeance vs revenge

vengeance and revenge both are nouns.

Word	Noun	Adjective	Verb	Adverb
vengeance	Yes	No	No	No
revenge	Yes	No	Yes	No

As nouns, revenge is a hypernym of vengeance; that is, revenge is a word with a broader meaning than vengeance:

vengeance: the act of taking revenge (harming someone in retaliation for something harmful that they have done) especially in the next life
revenge: action taken in return for an injury or offense

Other hypernyms of vengeance include retaliation.

vengeance (noun)	revenge (noun)
the act of taking revenge (harming someone in retaliation for something harmful that they have done) especially in the next life	action taken in return for an injury or offense

vengeance (verb)	revenge (verb)
	take revenge for a perceived wrong