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)