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 Peridiniales Haeckel (1894)
        Count: [*†*] 5f;32g; †135g
           1 Suborder Glenodiniineae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) [monotypic] see Order Thoracosphaerales Tangen (1982)
          Count: [*] 1f;2g
           2 Suborder Heterocapsineae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) [monotypic] see Order Peridiniales Haeckel (1894)
          Count: [*†*] 1f;1g; †8g
           3 Suborder Peridiniineae Poche (1913) see Order Peridiniales Haeckel (1894)
          Count: [*†*] 3f;26g; †127g
           4 Genus Chalubinskia Wolosz. (1916), incertae sedis
          Count: -
           5 Genus Staszicella Wolosz. (1916), incertae sedis
          Count: -
           6 Genus Thaurilens Pavillard (1917), incertae sedis
          Count: -