ping pong vs table game

ping pong and table game both are nouns.

Word	Noun	Adjective	Verb	Adverb
ping pong	Yes	No	No	No
table game	Yes	No	No	No

As nouns, table game is a hypernym of ping pong; that is, table game is a word with a broader meaning than ping pong:

ping pong: a game (trademark Ping-Pong) resembling tennis but played on a table with paddles and a light hollow ball
table game: a game that is played on a table

ping pong (noun)	table game (noun)
a game (trademark Ping-Pong) resembling tennis but played on a table with paddles and a light hollow ball	a game that is played on a table