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
           01 Order Haplozooidea Poche, 1913 see Order Haplozoonales Poche (1913)
           02 Order Dinotrichales Pascher (1914)
           03 Order Dinococcales Pascher (1914)
           04.59 Genus Akashiwo Gert Hansen & Moestrup (2000) [within unnamed taxon]
           05 Order Brachidiniales A.R. Loebl. ex Sournia (1984) [monotypic]
           06 Order Gymnodiniales Apstein (1909)
           07 Order Ptychodiscales Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) [monotypic]
           08 Order Thoracosphaerales Tangen (1982) see Order Peridiniales Haeckel (1894)
           09 Order Peridiniales Haeckel (1894)
           10.1 Family Tovelliaceae Moestrup, K.C.R. Lindb. & Daugbjerg (2005), incertae sedis
           10.2 Family Woloszynskiaceae Bourr. ex Starmach (1974), incertae sedis [monotypic]
           11 Family Apodiniaceae Chatton (1920), incertae sedis
           12 Order Actiniscales Sournia (1984) [monotypic]
           13 Order Amphilothales Er. Lindem. (1928) [monotypic]
           14 Order Prorocentrales Lemmerm. (1910)
           15 Order Dinophysales Er. Lindem. (1928)
           16 Order Blastodiniales Chatton (1906) [monotypic]
           17 Order Gonyaulacales F.J.R. Taylor (1980)
           18.255 Genus Berghiella Kof. & J.R. Michener (1911), incertae sedis
           19.256 Genus Ceratoperidinium Margalef ex A.R. Loebl. (1980), incertae sedis [monotypic]
           20.257 Genus Pyramidodinium T. Horig. & C. Sukigara (2005), incertae sedis
           21.258 Genus Pseudoactiniscus Bursa (1969), incertae sedis
           22.259 Genus Thaumatodinium Böhm (1933), incertae sedis