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 Gonyaulacales F.J.R. Taylor (1980)
Genus Thecadiniopsis Croome, Hallegr. & P.A. Tyler (1987), incertae sedis