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 Gymnodiniphycidae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
         Order Gymnodiniales Apstein (1909)
           Suborder Actiniscineae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) see Order Actiniscales Sournia (1984)
             Family Actiniscaceae Kütz. (1844)
               2 Genus †Actiniscus (Ehrenb.) Ehrenb. (1843)
               4 Genus †Carduifolia Hovasse (1932)
               5 Genus †Cinctactiniscus Dumitrica (1973)
               6 Genus Diaster Meunier (1910) see Genus Actiniscus (Ehrenb.) Ehrenb. (1843)
               7 Genus †Foliactiniscus Dumitrica (1973)