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)
       Subclass Gymnodiniphycidae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
         Order Ptychodiscales Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) [monotypic]
           Family Ptychodiscaceae Lemmerm. (1899)
             Subfamily †Dinogymnioideae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
               1 Genus †Dinogymnium Evitt, Clarke & Verdier (1967)
               2 Genus †Alisogymnium Lentin & Vozzhennikova (1990)
               3 Genus †Amphigymnium Lentin & Vozzhennikova (1990)
               4 Genus †Yolkinigymnium Lentin & Vozzhennikova (1990)