table tennis club; ping-pong club
Refers to the school or community club activity, not the sport itself.
彼は高校で卓球部に入った。
He joined the table tennis club in high school.
卓球部の練習は毎日放課後にある。
Table tennis club practice is every day after school.
Compound of 卓球 (table tennis) + 部 (club, department).