Kingdom Chromalveolata Adl et al., 2005 see Kingdom Chromista Caval.-Sm. (1981)
   Infrakingdom Alveolata Cavalier-Smith, 1991 see [unranked] Alveolata Cavalier-Smith, 1991
     Phylum Myzozoa Cavalier-Smith & Chao, 2004 see Subphylum Myzozoa Cavalier-Smith & Chao, 2004
       Superclass Dinokaryota Fensome et al., 1993
         Class Dinoflagellata Bütschli, 1885 see Superclass Dinoflagellata Bütschli, 1885
           Order Gonyaulacales F.J.R. Taylor (1980)
             01 Family Thecadiniaceae Balech (1956)
             02 Family Protoceratidaceae F. Gómez (2012) see Family Protoceratiaceae Er. Lindem. (1928)
             03 Family Ceratiaceae Kof. (1907)
             04 Family Goniodomataceae Er. Lindem. (1928) see Family Thoracosphaeraceae J. Schiller (1930)
             05 Family Gonyaulacaceae Er. Lindem. (1928)
             06 Family Pyrocystaceae (F. Schütt) Lemmerm. (1899)
             07 Family Family of Amylax F. Gómez (2012)
             08.252 Genus Amphidiniella T. Horig. (1995), incertae sedis
             09.253 Genus Halostylodinium T. Horig. & Yoshizawa-Ebata (2000), incertae sedis
             10.254 Genus Pileidinium M. Tamura & T. Horig. (2005), incertae sedis