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 Congruentidiaceae J. Schiller (1935), nom. rej.
see Family Protoperidiniaceae Balech (1988), nom. cons.
Subfamily Diplopsalioideae Abé (1981)
see Family Diplopsaliaceae Matsuoka (1988)
Genus Dissodium T.H. Abé (1941)