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 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)
4 Genus †Tabulodinium Dodekova (1990), incertae sedis
5 ?Genus †Pluriarvalium Sarjeant (1962)