panic button vs push button

panic button and push button both are nouns.

Word	Noun	Adjective	Verb	Adverb
panic button	Yes	No	No	No
push button	Yes	No	No	No

As nouns, push button is a hypernym of panic button; that is, push button is a word with a broader meaning than panic button:

panic button: a button to push in order to summon help in case of an emergency
push button: an electrical switch operated by pressing

Other hypernyms of panic button include button, push.

panic button (noun)	push button (noun)
a button to push in order to summon help in case of an emergency	an electrical switch operated by pressing