One can get hoodies with “Anti-Social Social Club” on them:
https://en.wikipedia.org/wiki/Anti_Social_Social_Club
I saw a student wearing one. Fine, but is the very idea contradictory, that of having a club that no one goes to, much like Groucho Marx's one-liner: “I refuse to join any club that would have me as a member.” Actually, this is not contradictory either, as the asserter will not join any clubs. However, the very idea of an anti-social social club is not necessarily self-contradictory. Suppose a social club is a club where people interact, or at least a space where they are together, however discordant. Being anti-social means having a profound dislike of socialising, but not necessarily not socialising at all, merely disliking it. Hence in the anti-social social club, we would have a most sorry bunch of individuals who while together hated the experience, and fought, perhaps.

