catchword vs battle cry

catchword and battle cry both are nouns.

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

As nouns, battle cry is a hyponym of catchword; that is, battle cry is a word with a more specific, narrower meaning than catchword:

Other hyponyms of catchword include catch phrase, catchphrase, mantra, cry, rallying cry, war cry, watchword.

catchword (noun)	battle cry (noun)
a favorite saying of a group, organization or individual	a yell intended to rally a group of soldiers in battle
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	a slogan used to rally support for a cause