Phylum Dinoflagellata Engl. (1903) see Superclass Dinoflagellata Bütschli, 1885
   Subphylum Dinokaryota Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (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)
           01 Genus Phytodinium G.A. Klebs (1912)
           02 Genus Cystodinedria Pascher (1944)
           03 Genus Cystodinium G.A. Klebs (1912)
           04 Genus Dinamoebidium Pascher (1916)
           05 Genus Dinastridium Pascher (1927)
           06 Genus Halostylodinium T. Horig. & Yoshizawa-Ebata (2000)
           07 Genus Hemidinium F. Stein (1878)
           08 Genus Hypnodinium G.A. Klebs (1912)
           09 Genus Manchudinium Skvortzov (1972)
           10 Genus Rhizodinium Baumeister ex Bourr. (1955) see Genus Gymnodinium F. Stein (1878)
           11 Genus Spiniferodinium T. Horig. & Chihara (1987)
           12 Genus Stylodinium G.A. Klebs (1912)
           13 Genus Tetradinium G.A. Klebs (1912)