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 Gymnodiniales Apstein (1909)
           Suborder Gymnodiniineae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) see Order Gymnodiniales Apstein (1909)
             Family Polykrikaceae Kof. & Swezy (1921) [monotypic] see Family Gymnodiniaceae Lank. (1885)
               Genus Polykrikos Buetschli (1873)