Division Dinoflagellata Engl. (1903) see Superclass Dinoflagellata Bütschli, 1885
   Subdivision Dinokaryota Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) see Superclass Dinokaryota Fensome et al., 1993
     Class Dinophyceae Pascher (1914)
       Order Phytodiniales T. Christ. ex A.R. Loebl. (1970), incertae sedis see Order Dinococcales Pascher (1914)
         Family Phytodiniaceae G.A. Klebs (1912)
           04 Genus Cystodinedria Pascher (1944)
           05 Genus Cystodinium G.A. Klebs (1912)
           06 Genus Dinamoeba Pascher (1916) see Genus Dinamoebidium Pascher (1916)
           08 Genus Dinastridium Pascher (1927)
           15 Genus Hemidinium F. Stein (1878)
           16 Genus Hypnodinium G.A. Klebs (1912)
           17 Genus Manchudinium Skvortzov (1972)
           21 Genus Phytodinium G.A. Klebs (1912)
           24 Genus Rhizodinium Baumeister ex Bourr. (1955) see Genus Gymnodinium F. Stein (1878)
           25 Genus Spiniferodinium T. Horig. & Chihara (1987)
           26 Genus Stylodinium G.A. Klebs (1912)
           27 Genus Tetradinium G.A. Klebs (1912)