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)
           Suborder Ceratiineae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) [monotypic]
           Suborder Cladopyxiineae Fensome et al. (1993)
           Suborder Goniodomineae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
           Suborder Gonyaulacineae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
           Suborder †Rhaetogonyaulacineae Norris (1978) [monotypic]
           Family Crypthecodiniaceae Biecheler ex Chatton (1952), incertae sedis [monotypic]
           Genus †Aiora Cookson & Eisenack (1960), incertae sedis
           Genus †Amiculosphaera Harland (1979), incertae sedis
           Genus †Atopodinium Drugg (1978), incertae sedis
           Genus †Balcattia Cookson & Eisenack (1974), incertae sedis
           Genus †Balteocysta Stover & Evitt (1978), incertae sedis
           Genus †Batiacasphaera Drugg (1970), incertae sedis
           Genus †Boreocysta Stover & Evitt (1978), incertae sedis
           Genus †Bourkidinium Morgan (1975), incertae sedis
           Genus †Bradleyella Woollam (1983), incertae sedis
           Genus †Caligodinium Drugg (1970), incertae sedis
           Genus †Carnarvonodinium Parker (1988), incertae sedis
           Genus †Cassiculosphaeridia Davey (1969), incertae sedis
           Genus †Cauca Davey & Verdier (1971), incertae sedis
           Genus Centrodinium Kof. (1907), incertae sedis
           Genus †Cerebrocysta Bujak (1980), incertae sedis
           Genus †Chlamydophorella Cookson & Eisenack (1958), incertae sedis
           Genus †Cirrusphaera Monteil (1992), incertae sedis
           Genus †Cleistosphaeridium Davey, Downie, Sarjeant & Williams (1966), incertae sedis
           Genus †Codoniella Cookson & Eisenack (1961), incertae sedis
           Genus †Dapsilidinium Bujak, Downie, Eaton & Williams (1980), incertae sedis
           Genus †Desmocysta Duxbury (1983), incertae sedis
           Genus †Dingodinium Cookson & Eisenack (1958), incertae sedis
           Genus †Dissimulidinium May, Stevens & Partridge (1987), incertae sedis
           Genus †Distatodinium Eaton (1976), incertae sedis
           Genus Dolichodinium Kof. & A.M. Adamson (1933), incertae sedis
           Genus †Dorocysta Davey (1970), incertae sedis
           Genus †Duosphaeridium Davey & Williams (1966), incertae sedis
           Genus †Ellipsodinium Clarke & Verdier (1967), incertae sedis
           Genus †Ellipsoidictyum Klement (1960), incertae sedis
           Genus †Elytrocysta Stover & Evitt (1978), incertae sedis
           Genus †Epiplosphaera Klement (1960), incertae sedis
           Genus †Exochosphaeridium Davey, Downie, Sarjeant & Williams (1966), incertae sedis
           Genus †Fistulacysta Davey (1988), incertae sedis
           Genus †Flamingoia Stevens & Helby (1987), incertae sedis
           Genus †Fusiformacysta Morgan (1975), incertae sedis
           Genus †Gagiella Backhouse (1988), incertae sedis
           Genus †Gardodinium Alberti (1961), incertae sedis
           Genus Goniodinium Dangeard (1927), incertae sedis
           Genus †Gramocysta Lund & Lund-Christensen (1990), incertae sedis
           Genus †Hapsidaulax Sarjeant (1975), incertae sedis
           Genus †Heslertonia Sarjeant (1966), incertae sedis
           Genus †Heterosphaeridium Cookson & Eisenack (1968), incertae sedis
           Genus †Hurlandsia Lister & Batten (1988), incertae sedis
           Genus †Impletosphaeridium Morgenroth (1966), incertae sedis
           Genus †Indodinium Kumar (1986), incertae sedis
           Genus †Jansonia Pocock (1972), incertae sedis
           Genus †Labyrinthodinium Piasecki (1980), incertae sedis
           Genus †Lacunodinium He (1984), incertae sedis
           Genus †Laticavodinium Wilson & Sarjeant (1984), incertae sedis
           Genus †Levisphaera Davey (1988), incertae sedis
           Genus †Membranilarnacia Eisenack (1963), incertae sedis
           Genus †Membranilarnax Wetzel (1933), incertae sedis
           Genus †Mendicodinium Morgenroth (1970), incertae sedis
           Genus †Microsphaeridium Benedek (1972), incertae sedis
           Genus †Montanarocysta Corradini (1973), incertae sedis
           Genus †Mooradinium Backhouse (1988), incertae sedis
           Genus †Omatidium Courtinat (1980), incertae sedis
           Genus †Pannosiella Batten & Lister (1988), incertae sedis
           Genus †Papuadinium Davey (1988), incertae sedis
           Genus †Parvocavatus Gitmez (1970), incertae sedis
           Genus †Parvulodinium Dodekova (1975), incertae sedis
           Genus †Paucibucina Jiabo (1978), incertae sedis
           Genus †Paucisphaeridium Bujak, Downie, Eaton & Williams (1980), incertae sedis
           Genus †Peridictyocysta Cookson & Eisenack (1974), incertae sedis
           Genus Peridiniella Kof. & J.R. Michener (1911), incertae sedis
           Genus †Phanerodinium Deflandre (1937), incertae sedis
           Genus Planodinium R.D. Saunders & J.D. Dodge (1984), incertae sedis
           Genus †Polygonifera Habib (1972), incertae sedis
           Genus †Productodinium Davey (1988), incertae sedis
           Genus †Raetiaedinium Kirsch (1991), incertae sedis
           Genus †Raphidodinium Deflandre (1936), incertae sedis
           Genus †Resticulasphaera Harding (1990), incertae sedis see Genus Resticulasphaera Harding (1998)
           Genus †Reticulatosphaera Matsuoka (1983), incertae sedis
           Genus †Romanodinium Baltes (1971), incertae sedis
           Genus †Sahulidinium Stover & Helby (1987), incertae sedis
           Genus †Sokolovidinium Lentin & Vozzhennikova (1990), incertae sedis
           Genus †Spiniferopsis He (1984), incertae sedis
           Genus †Tanyosphaeridium Davey & Williams (1966), incertae sedis
           Genus †Tetrachacysta Backhouse (1988), incertae sedis
           Genus Thecadiniopsis Croome, Hallegr. & P.A. Tyler (1987), incertae sedis
           Genus †Thecadinium Kof. & Skogsb. (1928), incertae sedis
           Genus †Trigonopyxidia Cookson & Eisenack (1961), incertae sedis
           Genus †Valensiella Eisenack (1963), incertae sedis
           Genus †Xiphophoridium Sarjeant (1966), incertae sedis
           Family Heterodiniaceae Er. Lindem. (1928), incertae sedis [monotypic]
           Genus †Warrenia Monteil (1992), incertae sedis