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