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 Gymnodiniphycidae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
Order Suessiales Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
see Order Dinococcales Pascher (1914)
Family Suessiaceae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
1 Genus †Suessia Morbey (1975)
2 Genus †Beaumontella Below (1987)
3 Genus Biecheleria Moestrup, K.C.R. Lindberg & Daugbjerg (2009)
4 Genus Biecheleriopsis Moestrup, K.C.R. Lindberg & Daugbjerg (2009)
5 Genus †Noricysta Bujak & Fisher (1976)
6 Genus Pelagodinium Siano, Montresor, Probert & de Vargas (2010)
7 Genus Polarella Montresor, Procaccini & Stoecker (1999)
8 Genus Protodinium Lohmann (1908)
9 Genus †Wanneria Below (1987)