Kingdom Chromalveolata Adl et al., 2005 see Kingdom Chromista Caval.-Sm. (1981)
   Infrakingdom Alveolata Cavalier-Smith, 1991 see [unranked] Alveolata Cavalier-Smith, 1991
     [Phylum Dinoflagellata Engl. (1903)] see Superclass Dinoflagellata Bütschli, 1885
       4.1 [Order Duboscquodinida Cachon & Cachon-Enjumet, 1987 [within unnamed taxon]] see Order Thoracosphaerales Tangen (1982)
       5.1 [Class Noctilucea Haeckel, 1866 [monotypic]] see Class Noctiluciphyceae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)