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)
       Subclass Dinophysiphycidae Möhn ex Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
         Order Dinophysiales Kof. (1926) see Order Dinophysales Er. Lindem. (1928)
           Family Dinophysiaceae Stein (1883) see Family Dinophysaceae F. Stein (1883)
             01 Genus Citharistes F. Stein (1883)
             02 [Genus Dinoceras J. Schiller (1931)]
             03 Genus Dinofurcula Kof. & Skogsb. (1928)
             04 Genus Dinophysis Ehrenb. (1839)
             05 [Genus Heteroceras Forti (1901)] see Genus Dinophysis Ehrenb. (1839)
             06 Genus Heteroschisma Kof. & Skogsb. (1928), nom. rej. see Genus Latifascia Loebl. & A.R. Loebl. (1966)
             07 Genus Histioneis F. Stein (1883)
             08 Genus Histiophysis Kof. & Skogsb. (1928)
             09 [Genus Latifascia Loebl. & A.R. Loebl. (1966)]
             10 Genus Metadinophysis D.S. Nie & Chia C. Wang (1941)
             11 Genus Metaphalacroma L.S. Tai & Skogsb. (1934)
             12 Genus Ornithocercus F. Stein (1883)
             13 Genus †Palaeodinophysis Vozzhennikova & Sheshegova (1989)
             14 [Genus Parahistioneis Kof. & Skogsb. (1928)]
             15 [Genus Parelion Schmidt (1889)] see Genus Ornithocercus F. Stein (1883)
             16 [Genus Phalacroma F. Stein (1883)]
             17 [Genus Prodinophysis Balech (1944)] see Genus Phalacroma F. Stein (1883)
             18 [Genus Proheteroschisma L.S. Tai & Skogsb. (1934)]
             19 Genus Pseudophalacroma Jørg. ex Lebour (1925)
             20 Genus Sinophysis D.S. Nie & Chia C. Wang (1944)
             21 Genus †Ternia Helby & Stover (1987)
             22 Genus Thaumatodinium Böhm (1933)