Class Dinophyceae Pascher (1914)
   Order Peridiniales Haeckel (1894)
     Family Goniodomataceae Er. Lindem. (1928) see Family Thoracosphaeraceae J. Schiller (1930)
       Genus Goniodoma F. Stein (1883), nom. illeg. see Genus Scrippsiella Balech ex A.R. Loebl. (1965)
         Goniodoma polyedricum (C.H.G. Pouchet) Jørg. (1899) see Triadinium polyedricum (C.H.G. Pouchet) J.D. Dodge (1981)