Class Dinophyceae Pascher (1914)
   Order Pyrocystales Apstein (1909) see Order Gonyaulacales F.J.R. Taylor (1980)
     Family Pyrocystaceae (F. Schütt) Lemmerm. (1899)
       Genus Pyrocystis J. Murray ex Haeckel (1890)
         01 Pyrocystis acuta Kofoid (1907)
         02 Pyrocystis elegans Pavillard (1930)
         03 Pyrocystis fusiformis (Haeckel) Blackman (1902)
         04 Pyrocystis gerbaultii Pavillard
         05 Pyrocystis hamulus Cleve
         06 Pyrocystis margalefii Léger
         07 Pyrocystis minima (Matzenauer) Schiller
         08 Pyrocystis noctiluca Haeckel (1890)
         09 Pyrocystis obtusa Pavillard
         10 Pyrocystis robusta Kofoid (1907)