Division Dinoflagellata Engl. (1903) see Superclass Dinoflagellata Bütschli, 1885
Count: [*†*] 4c;13o;45f;285g; †1o;11f;583g
   Subdivision Dinokaryota Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) see Superclass Dinokaryota Fensome et al., 1993
  Count: [*†*] 3c;12o;41f;190g; †1o;11f;523g
     Class Dinophyceae Pascher (1914)
    Count: [*†*] 10o;32f;154g; †1o;10f;522g
       Subclass Peridiniphycidae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
      Count: [*†*] 2o;15f;70g; †8f;500g
         Order Gonyaulacales F.J.R. Taylor (1980)
        Count: [*†*] 8f;30g; †6f;332g
           Genus †Cirrusphaera Monteil (1992), incertae sedis
          Count: -