Kingdom Chromalveolata Adl et al., 2005 see Kingdom Chromista Caval.-Sm. (1981)
   Infrakingdom Alveolata Cavalier-Smith, 1991 see [unranked] Alveolata Cavalier-Smith, 1991
     Phylum Myzozoa Cavalier-Smith & Chao, 2004 see Subphylum Myzozoa Cavalier-Smith & Chao, 2004
       Superclass Dinokaryota Fensome et al., 1993
         Class Dinoflagellata Bütschli, 1885 see Superclass Dinoflagellata Bütschli, 1885
           Order Dinococcales Pascher (1914)
             Family Phytodiniaceae G.A. Klebs (1912)
               38 Genus Baldinia Gert Hansen & Daugbjerg (2007)
               39 Genus Borghiella Moestrup, Gert Hansen & Daugbjerg (2008)
               40 Genus Cystodinium G.A. Klebs (1912)
               41 Genus Dinamoebidium Pascher (1916)
               42 Genus Dinoclonium Pascher (1927) [monotypic]
               43 Genus Dinococcus Fott (1960)
               44 Genus Filodinium Cachon & Cachon-Enj. (1968)
               45 Genus Hypnodinium G.A. Klebs (1912)
               46 Genus Manchudinium Skvortzov (1972)
               47 Genus Phytodinium G.A. Klebs (1912)
               48 Genus Prosoaulax Calado & Moestrup (2005)
               49 Genus Sphaerodinium Wolosz. (1916)
               50 Genus Tetradinium G.A. Klebs (1912)