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)
         Order Gonyaulacales F.J.R. Taylor (1980)
           Suborder Cladopyxiineae Fensome et al. (1993)
             Family †Pareodiniaceae Gocht (1957)
               1 Subfamily †Broomeoideae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
               2 Subfamily †Pareodinioideae Below (1990)
               3 Genus †Cornudinium Pocock (1972), incertae sedis
               4 Genus †Pluriarvalium Sarjeant (1962), incertae sedis
               5 Genus †Tabulodinium Dodekova (1990), incertae sedis