Kingdom Chromalveolata Adl et al., 2005
see Kingdom Chromista Caval.-Sm. (1981)
Infrakingdom Alveolata Cavalier-Smith, 1991
see [unranked] Alveolata Cavalier-Smith, 1991
Phylum Myzozoa Cavalier-Smith & Chao, 2004
see Subphylum Myzozoa Cavalier-Smith & Chao, 2004
Superclass Dinokaryota Fensome et al., 1993
Class Dinoflagellata Bütschli, 1885
see Superclass Dinoflagellata Bütschli, 1885
Order Ptychodiscales Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) [monotypic]
Family Ptychodiscaceae Lemmerm. (1899) [monotypic]
Genus Ptychodiscus F. Stein (1883)