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 Blastodiniphyceae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) [monotypic] see Class Haplozooidea Poche, 1911
       Order Blastodiniales Chatton (1906) [monotypic]
         Family Oodiniaceae Chatton (1920)
           1 Genus Oodinium Chatton (1912)
           2 ?Genus Bargoniella Loebl. & Tappan (1961) see Genus Amyloodinium E.-M. Br. & Hovasse (1946)
           3 Genus Caryotoma Hollande (1953)
           4 Genus Crepidoodinium J. Lom & A.R. Lawler (1981)
           5 Genus Piscinoodinium J. Lom (1981)