Class Dinophyceae Pascher (1914)
   Order Peridiniales Haeckel (1894)
     Family Pyrophacaceae Er. Lindem. (1928) see Family Pyrocystaceae (F. Schütt) Lemmerm. (1899)
       106 Genus Fragilidium Balech ex A.R. Loebl. (1965)
       107 Genus Pyrophacus F. Stein (1883)