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 Dinophysiphycidae Möhn ex Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
         Order Dinophysiales Kof. (1926) see Order Dinophysales Er. Lindem. (1928)
           Family Dinophysiaceae Stein (1883) see Family Dinophysaceae F. Stein (1883)
             Genus Heteroschisma Kof. & Skogsb. (1928), nom. rej. see Genus Latifascia Loebl. & A.R. Loebl. (1966)