suggest vs convey

suggest and convey both are verbs.

Word	Noun	Adjective	Verb	Adverb
suggest	No	No	Yes	No
convey	No	No	Yes	No

As verbs, convey is a hypernym of suggest; that is, convey is a word with a broader meaning than suggest:

suggest (verb)	convey (verb)
make a proposal, declare a plan for something	(of information) make known; pass on
call to mind	serve as a means for expressing something
imply as a possibility	go or come after and bring or take back
drop a hint; intimate by a hint	take something or somebody with oneself somewhere
	transmit or serve as the medium for transmission
	transmit a title or property
	transfer to another