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 Desmocapsales Pascher (1914), incertae sedis [monotypic]
         Family Desmocapsaceae Pascher (1914)
           1 Genus Adinimonas Schiller (1928)
           2 Genus Desmocapsa Pascher (1914)
           3 Genus Desmomastix Pascher (1914)
           4 Genus Pleromonas Pascher (1914)