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)
         1 Family Dinocloniaceae Pascher (1931) see Family Phytodiniaceae G.A. Klebs (1912)
         2 Family Phytodiniaceae G.A. Klebs (1912)