put forward vs suggest

put forward and suggest both are verbs.

Word	Noun	Adjective	Verb	Adverb
put forward	No	No	Yes	No
suggest	No	No	Yes	No

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

Other hypernyms of put forward include advise, propose.

put forward (verb)	suggest (verb)
put before	make a proposal, declare a plan for something
propose as a candidate for some honor	call to mind
summon into action or bring into existence, often as if by magic	imply as a possibility
insist on having one's opinions and rights recognized	drop a hint; intimate by a hint