In the chapter called "Rub-a-dub-dub, What Name for the Club?" the author writes (or should I say, wrote, to be perfectly accurate?)
"Nowadays most people belong to something anonymous..... But your club is special and should have a more descriptive title. One of the first decisions will be regarding the suffix which might be Association, Auxiliary, Circle, Federation, Group, Guild, League, Unit, or anything else that implies a union of congenial personalities."
I agree that these are all good suffixes, and there are others just as good, for example, Society. (I belong to the Betsy-Tacy Society.)
This is the part I do NOT agree with:
"It seems too bad to fall back on the standard Club."
Sorry, but I don't see anything wrong with calling a club a CLUB, in fact, it often sounds better than the other suffixes, good as they may be. Try replacing the word CLUB in Book Club or Garden Club. It doesn't work, at least in my opinion.
Then again, one could give a Card Club a tongue-in-cheek name, such as Card Spade, Card Heart, or Card Diamond.