battle cry vs catchword

battle cry and catchword both are nouns.

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

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

Other hypernyms of battle cry include motto, shibboleth, slogan.

battle cry (noun)	catchword (noun)
a yell intended to rally a group of soldiers in battle	a favorite saying of a group, organization or individual
a slogan used to rally support for a cause	a word printed at the top of the page of a dictionary or other reference book to indicate the first or last item on that page