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 Brachidiniales A.R. Loebl. ex Sournia (1984) [monotypic]
             Family Brachidiniaceae Sournia (1972)
               60 Genus Asterodinium Sournia (1972)
               61 Genus Brachidinium F.J.R. Taylor (1963)
               62 Genus Gynogonadinium F. Gómez (2007)
               63 Genus Karenia Gert Hansen & Moestrup (2000)
               64 Genus Karlodinium J. Larsen (2000)
               65 Genus Microceratium Sournia (1972)
               66 Genus Pavillardia Kof. & Swezy (1920)
               67 Genus Pseliodinium Sournia (1972)
               68 Genus Takayama de Salas, Bolch, L. Botes & Hallegr. (2003)
               69 Genus Torodinium Kof. & Swezy (1921)