Division Dinoflagellata Engl. (1903) see Superclass Dinoflagellata Bütschli, 1885
   Subdivision Dinokaryota Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) see Superclass Dinokaryota Fensome et al., 1993
     Class Dinophyceae Pascher (1914)
       Subclass Peridiniphycidae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
         Family Oxytoxaceae Er. Lindem. (1928), incertae sedis [monotypic]
           1 [Genus Corythodinium Loebl. & A.R. Loebl. (1966)]
           2 [Genus Murrayella Kof. (1907)] see Genus Pavillardinium De Toni (1936)
           3 Genus Oxytoxum F. Stein (1883)
           4 [Genus Pavillardinium De Toni (1936)] see Genus Centrodinium Kof. (1907)
           5 [Genus Pyrgidium Stein (1883)]