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 †Deflandreoideae Bujak & Davies (1983)
Genus †Haxagonifera Okolodkov (2011), orth. inval.
see Genus Hexagonifera Cookson & Eisenack (1961)