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 †Palaeoperidinioideae Bujak & Davies (1983) Genus †Subtilisphaera Jain & Millepied (1973)