battle cry vs outcry

battle cry and outcry both are nouns.

Word	Noun	Adjective	Verb	Adverb
battle cry	Yes	No	No	No
outcry	Yes	No	Yes	No

As nouns, outcry is a hypernym of battle cry; that is, outcry is a word with a broader meaning than battle cry:

Other hypernyms of battle cry include call, cry, shout, vociferation, yell.

battle cry (noun)	outcry (noun)
a yell intended to rally a group of soldiers in battle	a loud utterance; often in protest or opposition
a slogan used to rally support for a cause

battle cry (verb)	outcry (verb)
	utter aloud; often with surprise, horror, or joy
	shout louder than