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 Peridiniaceae Ehrenb. (1831)
               Subfamily Peridinioideae Bergh (1881)
                 1 Genus Durinskia Carty & El.R. Cox (1986)
                 2 Genus Kansodinium Carty & E.R. Cox (1986)
                 3 Genus Kryptoperidinium Er. Lindem. (1924)
                 4 Genus Peridinium Ehrenb. (1830)