Class Dinophyceae Pascher (1914)
   Order Dinophysiales Kof. (1926) see Order Dinophysales Er. Lindem. (1928)
     Family Dinophysaceae F. Stein (1883)
       08 Genus Amphisolenia F. Stein (1883)
       09 Genus Dinofurcula Kof. & Skogsb. (1928)
       10 Genus Dinophysis Ehrenb. (1839)
       11 Genus Heteroschisma Kof. & Skogsb. (1928), nom. rej. see Genus Latifascia Loebl. & A.R. Loebl. (1966)
       12 Genus Histioneis F. Stein (1883)
       13 Genus Metaphalacroma L.S. Tai & Skogsb. (1934)
       14 Genus Ornithocercus F. Stein (1883)
       15 Genus Phalacroma F. Stein (1883)
       16 Genus Sinophysis D.S. Nie & Chia C. Wang (1944)
       17 Genus Triposolenia Kof. (1906)