Phylum Dinoflagellata Engl. (1903) see Superclass Dinoflagellata Bütschli, 1885
   Subphylum Dinokaryota Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
     01 Class Dinophyceae Pascher (1914)
     02 Class Blastodiniphyceae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) [monotypic] see Class Haplozooidea Poche, 1911
     03 Class Noctiluciphyceae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) [monotypic]
     04 Genus Agrosphaera Lo Bianco (1903), incertae sedis
     05 Genus Geodinium Chodat (1922), incertae sedis
     06 Genus Gleba Bruguière (1791), incertae sedis
     07 Genus Glenoaulax Diesing (1866), incertae sedis
     08 Genus Halophilodinium Loebl. & A.R. Loebl. (1966), incertae sedis
     09 Genus Parapodinium Chatton (1920), incertae sedis
     10 Genus Proaulax Diesing (1866), incertae sedis
     11 Genus Pterocystis Lohmann (1904), incertae sedis
     12 Genus Radiozoum Mingazzini (1904), incertae sedis