pushball vs field game

pushball and field game both are nouns.

Word	Noun	Adjective	Verb	Adverb
pushball	Yes	No	No	No
field game	Yes	No	No	No

As nouns, field game is a hypernym of pushball; that is, field game is a word with a broader meaning than pushball:

pushball: a game using a leather ball six feet in diameter; the two side try to push it across the opponents' goal
field game: an outdoor game played on a field of specified dimensions

pushball (noun)	field game (noun)
a game using a leather ball six feet in diameter; the two side try to push it across the opponents' goal	an outdoor game played on a field of specified dimensions