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)
               Subfamily †Pareodinioideae Below (1990)
                 1 Genus †Arkellea Below (1990)
                 2 Genus †Gochteodinia Norris (1978)
                 3 Genus †Gresslyodinium Below (1990)
                 4 Genus †Imbatodinium Vozzhennikova (1967)
                 5 Genus †Lacrymodinium Albert, Evitt & Stein (1986)
                 6 Genus †Paragonyaulacysta Johnson & Hills (1973)
                 7 Genus †Pareodinia Deflandre (1947)
                 8 Genus †Protobatioladinium Nøhr-Hansen (1986)