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 Heterocapsineae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) [monotypic] see Order Peridiniales Haeckel (1894)
             Family Heterocapsaceae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
               01 Genus Heterocapsa F. Stein (1883)
               02 Genus †Andreedinium Below (1987)
               03 Genus †Angustidinium Goodman & Evitt (1981)
               04 Genus Cachonina A.R. Loebl. (1968) see Genus Heterocapsa F. Stein (1883)
               05 Genus †Facetodinium Bjaerke (1980)
               06 Genus †Liasidium Drugg (1978)
               07 Genus †Moesiodinium Antonescu (1975)
               08 Genus †Ovalicysta Bjaerke (1980)
               09 Genus †Parvocysta Bjaerke (1980)
               10 Genus †Reutlingia Drugg (1978)
               11 Genus †Susadinium Dörhöfer & Davies (1980)