beheading vs capital punishment

beheading and capital punishment both are nouns.

Word	Noun	Adjective	Verb	Adverb
beheading	Yes	No	No	No
capital punishment	Yes	No	No	No

As nouns, capital punishment is a hypernym of beheading; that is, capital punishment is a word with a broader meaning than beheading:

Other hypernyms of beheading include death penalty, executing, execution.

beheading (noun)	capital punishment (noun)
killing by cutting off the head	putting a condemned person to death
execution by cutting off the victim's head