push vs shove

push and shove both are nouns.

Word	Noun	Adjective	Verb	Adverb
push	Yes	No	Yes	No
shove	Yes	No	Yes	No

As nouns, shove is a hyponym of push; that is, shove is a word with a more specific, narrower meaning than push:

Other hyponyms of push include depression, jog, nudge, press, pressing, pressure, boost.

As verbs, shove is a hyponym of push; that is, shove is a word with a more specific, narrower meaning than push:

push (noun)	shove (noun)
the act of applying force in order to move something away	the act of shoving (giving a push to someone or something)
an effort to advance
an electrical switch operated by pressing
enterprising or ambitious drive
the force used in pushing

push (verb)	shove (verb)
make publicity for; try to sell (a product)	push roughly
press, drive, or impel (someone) to action or completion of an action	come into rough contact with while moving
make strenuous pushing movements during birth to expel the baby	press or force
move with force
approach a certain age or speed
press against forcefully without moving
move strenuously and with effort
sell or promote the sale of (illegal goods such as drugs)
strive and make an effort to reach a goal
exert oneself continuously, vigorously, or obtrusively to gain an end or engage in a crusade for a certain cause or person; be an advocate for