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 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)
           Family Amphitholaceae Kof. & J.R. Michener ex Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) see Family Amphilothaceae Kof. ex Poche (1913)
             1 Genus Achradina Lohmann (1902)
             3 Genus Amphitholus F. Schütt (1895), nom. rej. see Genus Amphilothus Kof. ex Poche (1913)
             4 Genus Monaster F. Schütt (1895) see Genus Amphilothus Kof. ex Poche (1913)