Phylum Dinoflagellata Engl. (1903) see Superclass Dinoflagellata Bütschli, 1885
   Subphylum Dinokaryota Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (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 Calciodinelloideae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) see Family Calciodinellaceae Deflandre (1947)
                 01 Genus †Calciodinellum Deflandre (1947)
                 02 Genus †Alasphaera Keupp (1979)
                 03 Genus †Bicarinellum Deflandre (1948)
                 04 Genus Bysmatrum M.A. Faust & Steid. (1998)
                 05 ?Genus †Calcicarpinum Deflandre (1948)
                 06 Genus †Calcigonellum Deflandre (1949)
                 07 Genus †Calcipterellum Deflandre (1948)
                 08 Genus †Carinellum Keupp (1981)
                 09 ?Genus †Cubodinellum Keupp (1987)
                 10 ?Genus †Dimorphosphaera Keupp (1979)
                 11 ?Genus †Echinodinella Keupp (1980)
                 12 Genus Ensiculifera Balech (1967)
                 13 Genus †Gonellum Keupp (1987)
                 14 ?Genus †Heptasphaera Keupp (1979)
                 15 ?Genus †Keuppisphaera Lentin & G.L. Williams (1989)
                 16 ?Genus †Nephrodinella Keupp (1981)
                 17 ?Genus †Orthocarinellum Keupp (1987)
                 18 Genus †Orthopithonella Keupp (1984)
                 19 Genus †Pirumella H.M. Bolli (1980)
                 20 Genus †Praecalcigonellum Keupp & Versteegh (1989)
                 21 ?Genus †Pithonella T. Lorenz (1902)
                 22 Genus Scrippsiella Balech ex A.R. Loebl. (1965)
                 23 ?Genus †Sliteria Krasheninnikov & Basov (1983)
                 24 Genus †Sphaerodinella Keupp & Versteegh (1989) see Genus Calciodinellum Deflandre (1947)
                 25 Genus †Tetramerosphaera H. Willems (1985)
                 26 Genus †Tetratropis H. Willems (1990)