push-button radio vs wireless

push-button radio and wireless both are nouns.

Word	Noun	Adjective	Verb	Adverb
push-button radio	Yes	No	No	No
wireless	Yes	Yes	No	No

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

push-button radio: a radio receiver that can be tuned by pressing buttons
wireless: an electronic receiver that detects and demodulates and amplifies transmitted signals

Other hypernyms of push-button radio include radio, radio receiver, radio set, receiving set, tuner.

push-button radio (noun)	wireless (noun)
a radio receiver that can be tuned by pressing buttons	a communication system based on broadcasting electromagnetic waves
	an electronic receiver that detects and demodulates and amplifies transmitted signals
	transmission by radio waves
	medium for communication

push-button radio (adjective)	wireless (adjective)
	having no wires