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 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)
             Family Congruentidiaceae J. Schiller (1935), nom. rej. see Family Protoperidiniaceae Balech (1988), nom. cons.
               Subfamily Diplopsalioideae Abé (1981) see Family Diplopsaliaceae Matsuoka (1988)
                 01 Genus Apsteinia T.H. Abé (1981) see Genus Diplopsalis Bergh (1882)
                 02 Genus Boreadinium J.D. Dodge & H.B. Hermes (1981)
                 03 Genus Diplopelta F. Stein ex Jørg. (1912)
                 05 Genus Diplopsalis Bergh (1882)
                 06 Genus Diplopsalopsis Meunier (1910)
                 07 Genus Dissodium T.H. Abé (1941)
                 08 Genus †Dubridinium Reid (1977)
                 10 Genus Gotoius T.H. Abé ex Matsuoka (1988)
                 12 Genus Oblea Balech ex Loebl. & A.R. Loebl. (1966)
                 13 Genus Preperidinium L. Mangin (1913)
                 14 Genus Zygabikodinium Loebl. & A.R. Loebl. (1970) see Genus Preperidinium L. Mangin (1913)