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)
1 Family †Mancodiniaceae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
2 Family Cladopyxiaceae Stein (1883)
see Family Cladopyxidaceae F. Stein (1883)
3 Family †Scriniocassiaceae Sarjeant & Downie (1966)
4 Family †Lotharingiaceae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
5 Family †Pareodiniaceae Gocht (1957)
6 Genus †Rhiptocorys Lejeune-Carpentier & Sarjeant (1983), incertae sedis