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 Dinophyceae Pascher (1914)
       Subclass Peridiniphycidae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
         Order Peridiniales Haeckel (1894)
           Suborder Peridiniineae Poche (1913) see Order Peridiniales Haeckel (1894)
             01 Family Peridiniaceae Ehrenb. (1831)
             02 Family Congruentidiaceae J. Schiller (1935), nom. rej. see Family Protoperidiniaceae Balech (1988), nom. cons.
             03 Family Lessardiaceae Carbonell-Moore (2004) [monotypic] see Family Podolampadaceae Er. Lindem. (1928)
             04 Family Podolampaceae Er. Lindem. (1928) see Family Podolampadaceae Er. Lindem. (1928)
             05 Family Pfiesteriaceae Steid. & J.M. Burkh. (1996) see Family Oodiniaceae Chatton (1920)
             06 Genus Amphidiniopsis Wolosz. (1929), incertae sedis
             07 Genus Cabra Sh. Murray & D.J. Patterson (2004), incertae sedis
             08 Genus †Bellatudinium Yu et al. (1981), incertae sedis
             09 Genus Herdmania J.D. Dodge (1981), incertae sedis
             10 Genus †Octodinium Wrenn & Hart (1988), incertae sedis
             11 Genus Rhinodinium Sh. Murray, Hoppenrath, S. Yoshimatsu, S. Toriumi & J. Larsen (2006), incertae sedis
             12 Genus †Umbodinium Bint (1983), incertae sedis