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 Peridiniales Haeckel (1894)
             01 Family Peridiniaceae Ehrenb. (1831)
             02 Family Heterocapsaceae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) [monotypic]
             03 Family Podolampadaceae Er. Lindem. (1928)
             04 Family Amphidiniopsidaceae J.D. Dodge (1984)
             05 Family Protoperidiniaceae Balech (1988), nom. cons.
             06 Family Diplopsaliaceae Matsuoka (1988)
             07 Family Heterodiniaceae Er. Lindem. (1928) [monotypic]
             08 Family Family of Ensiculifera F. Gómez (2012) see Family Thoracosphaeraceae J. Schiller (1930)
             09 Family Oxytoxaceae Er. Lindem. (1928)
             10.177 Genus Corythodinium Loebl. & A.R. Loebl. (1966) [within unnamed taxon]
             11 Family Amphidomataceae Sournia (1984) [monotypic]
             12 Family Cladopyxidaceae F. Stein (1883)
             13 Family Endodiniaceae J. Schiller (1935) [monotypic] see Family Zooxanthellaceae Hovasse & Teissier (1923)
             14 Family Family of Amphidoma caudata F. Gómez (2012)
             15.1597 Gloeodinium marinum Bouq. (1971), incertae sedis
             16.184 Genus Adenoides Balech (1956), incertae sedis
             17.185 Genus Archaeosphaerodiniopsis Rampi (1943), incertae sedis [monotypic]
             18.186 Genus Bysmatrum M.A. Faust & Steid. (1998), incertae sedis
             19.187 Genus Cabra Sh. Murray & D.J. Patterson (2004), incertae sedis
             20.188 Genus Peridiniella Kof. & J.R. Michener (1911), incertae sedis
             21.189 Genus Planodinium R.D. Saunders & J.D. Dodge (1984), incertae sedis
             22.190 Genus Pseudothecadinium Hoppenrath & M.S. Selina (2006), incertae sedis
             23.191 Genus Rhinodinium Sh. Murray, Hoppenrath, S. Yoshimatsu, S. Toriumi & J. Larsen (2006), incertae sedis
             24.192 Genus Sabulodinium R.D. Saunders & J.D. Dodge (1984), incertae sedis
             25.193 Genus Thecadiniopsis Croome, Hallegr. & P.A. Tyler (1987), incertae sedis
             26.194 Genus Vulcanodinium Nézan & Chomérat (2011), incertae sedis