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 Cachonellaceae P.C.Silva (1980) see Family Oodiniaceae Chatton (1920)
           1 Genus Cachonella Rose & Cachon (1952)
           2 ?Genus Dissodinium G.A. Klebs (1916)