Use the community function in game, then you can see every clan above lv 2.
Also, be aware that this list is hard to use, badly formatted, its search function is very limited (for example, you can't search if for alliance names or the name of the clan leader or the name of a hero belonging to the clan), it's somewhat buggy (sometimes some of the clans aren't listed), it's missing important features like the display of clan tags or ownershiip of castles and clan halls, it has no alternative sorting methods at all, it doesn't display alliance membership of clans directly in the list (even though there's enough place for it), it's integration into the game environment is neigh non-existent (no "click on the clan member, click an action button, you're in his clan's listing" at all, for example) and so on ...
Basically, it's only mariginally more useful than asking a clan member of the clan you're searching for directly.
now that you re talking bout clan community.
i was in giran last night and i saw a dwarf on clan crest and the name of the clan "BillionairesClub" . i liked the idea really much and i tried to serch through Alt-B. i couldnt find this clan, no matter what combination of letters i tried.
a bit bugged probably...