go on vs keep going

go on and keep going both are verbs.

Word	Noun	Adjective	Verb	Adverb
go on	No	No	Yes	No
keep going	No	No	Yes	No

As verbs, keep going is a hyponym of go on; that is, keep going is a word with a more specific, narrower meaning than go on:

Other hyponyms of go on include hold, run on, ride.

go on (verb)	keep going (verb)
come to pass	be a regular customer or client of
continue talking	suffice for a period between two points
start running, functioning, or operating	continue uninterrupted
move forward, also in the metaphorical sense
continue a certain state, condition, or activity