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 Ptychodiscales Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) [monotypic]
Family Brachydiniaceae Sournia (1972)
see Family Brachidiniaceae Sournia (1972)
1 Genus Brachydinium F.J.R. Taylor (1963)
see Genus Brachidinium F.J.R. Taylor (1963)
2 Genus Asterodinium Sournia (1972)
3 Genus Microceratium Sournia (1972)