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)
         01 Family Apodiniaceae Chatton (1920) [monotypic]
         02 Family Blastodiniaceae Cavers (1913) [monotypic]
         03 Family Cachonellaceae P.C.Silva (1980) see Family Oodiniaceae Chatton (1920)
         04 Family Haplozoaceae Chatton (1920) [monotypic]
         05 Family Oodiniaceae Chatton (1920)
         06 Family Protoodiniaceae Cachon (1964) [monotypic] see Family Oodiniaceae Chatton (1920)
         07 Genus Actinodinium Chatton & Hovasse (1937), incertae sedis
         08 Genus Chytriodinium Chatton (1912), incertae sedis
         09 Genus Myxodinium Cachon, Cachon-Enj. & Bouq. (1968), incertae sedis
         10 Genus Oodinioides Rchb.-Klinke (1970), incertae sedis
         11 Genus Schizodinium Chatton (1912), incertae sedis see Genus Blastodinium Chatton (1906)