Class Dinophyceae Pascher (1914)
   Order Peridiniales Haeckel (1894)
     01 Family Amphidomataceae Sournia (1984)
     02 Family Ceratiaceae Kof. (1907)
     03 Family Ceratocorythaceae Er. Lindem. (1928) see Family Protoceratiaceae Er. Lindem. (1928)
     04 Family Cladopyxidaceae F. Stein (1883)
     05 Family Crypthecodiniaceae Biecheler ex Chatton (1952)
     06 Family Goniodomataceae Er. Lindem. (1928) see Family Thoracosphaeraceae J. Schiller (1930)
     07 Family Gonyaulacaceae Er. Lindem. (1928)
     08 Family Heterodiniaceae Er. Lindem. (1928)
     09 Family Ostreopsidaceae Er. Lindem. (1928)
     10 Family Oxytoxaceae Er. Lindem. (1928)
     11 Family Peridiniaceae Ehrenb. (1831)
     12 Family Podolampadaceae Er. Lindem. (1928)
     14 Genus Ceratoperidinium Margalef ex A.R. Loebl. (1980), incertae sedis
     15 Genus Fragilidium Balech ex A.R. Loebl. (1965), incertae sedis
     16 Genus Heterocapsa F. Stein (1883), incertae sedis
     17 Genus Micracanthodinium Deflandre (1937), incertae sedis
     18 Genus Spiraulax Kof. (1911), incertae sedis