dispatch vs carry out

dispatch is a noun but carry out is not a noun.

Word	Noun	Adjective	Verb	Adverb
dispatch	Yes	No	Yes	No
carry out	No	No	Yes	No

As verbs, carry out is a hypernym of dispatch; that is, carry out is a word with a broader meaning than dispatch:

Other hypernyms of dispatch include accomplish, action, carry through, execute, fulfil, fulfill.

dispatch (noun)	carry out (noun)
the act of sending off something
killing a person or animal
the property of being prompt and efficient
an official report (usually sent in haste)

dispatch (verb)	carry out (verb)
kill without delay	pursue to a conclusion or bring to a successful issue
send away towards a designated goal	put in effect
complete or carry out
kill intentionally and with premeditation
dispose of rapidly and without delay and efficiently