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 Peridiniales Haeckel (1894)
           Suborder Peridiniineae Poche (1913) see Order Peridiniales Haeckel (1894)
             Family Peridiniaceae Ehrenb. (1831)
               Subfamily †Palaeoperidinioideae Bujak & Davies (1983)
                 02 Genus †Chichaouadinium Below (1981)
                 03 Genus †Colonsaydinium Hunt (1985)
                 05 Genus †Diconodinium Eisenack & Cookson (1960)
                 06 Genus †Dioxya Cookson & Eisenack (1958)
                 07 Genus †Geiselodinium Krutzsch (1962)
                 08 Genus †Ginginodinium Cookson & Eisenack (1960)
                 09 Genus †Indosphaera Kumar (1986)
                 10 Genus †Jinhudinium Qian, Chen & He (1986)
                 11 Genus †Laciniadinium Mclntyre (1975)
                 12 Genus †Luxadinium Brideaux & McIntyre (1975)
                 13 Genus †Palaeohystrichophora Deflandre (1935)
                 14 Genus †Palaeoperidinium Deflandre (1934)
                 16 Genus †Phthanoperidinium Drugg & Loebl. (1967)
                 17 Genus †Saeptodinium Harris (1974)
                 20 Genus †Soaniella Vozzhennikova (1967)
                 21 Genus †Subtilisphaera Jain & Millepied (1973)
                 22 Genus †Teneridinium Krutzsch (1962)
                 23 Genus †Vectidinium Liengjarern, Costa & Downie (1980)
                 24 Genus †Williamsidinium Lentin (1983)