Phylum Dinoflagellata Engl. (1903) see Superclass Dinoflagellata Bütschli, 1885
   Subphylum Dinokaryota Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
     Class Dinophyceae Pascher (1914)
       Subclass Peridiniphycidae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
         Order Gonyaulacales F.J.R. Taylor (1980)
           Suborder Goniodomineae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
             Family Goniodomaceae Er. Lindem. (1928) see Family Goniodomataceae Er. Lindem. (1928)
               1 Subfamily Goniodomoideae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) see Subfamily Subfamily of Goniodoma F. Gómez (2012)
               2 Subfamily Gambierdiscoideae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) see Subfamily Subfamily of Goniodoma F. Gómez (2012)
               3 Subfamily Helgolandinioideae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) see Family Pyrocystaceae (F. Schütt) Lemmerm. (1899)
               4 Subfamily Pyrodinioideae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) [monotypic] see Subfamily Subfamily of Ostreopsis F. Gómez (2012)