Natura - nature
   actualia - actual entities
     Mundus Plinius - physical world
       naturalia - natural bodies
         Clade Biota Wagner 2004 [Wiemann, de Queiroz, Rowe, Planavsky, Anderson, Gogarten, Turner & Gauthier 2020]
           Clade neomura Cavalier-Smith, 1987
             Domain Eukaryota Chatton, 1925 - eukaryotes
               Clade discaria Cavalier-Smith, 2021
                 Clade natates Cavalier-Smith, 2021
                   Clade photaria Cavalier-Smith, 2021
                     Clade eucorta Cavalier-Smith, 2021
                       Superkingdom Corticata Lankester, 1878 - corticates
                         Kingdom Chromista Caval.-Sm. (1981) - chromists
                           Subkingdom Hacrobia Okamoto, Chantangsi, Horák, Leander & Keeling, 2009
                             Phylum Haptista Cavalier-Smith, 2003
                               Subphylum Haptophytinaᵀ Caval.-Sm. (2015)
                                 Class Coccolithophyceae Rothm. (1951)
                                   Genus †Annulithus A.P. Rood et al., in T. Barnard & W.W. Hay (1974)
                                   Genus †Chiasmolithus W.W. Hay, H. Mohler & M. Wade (1966)
                                   Genus †Corolithion
                                   Genus Cyclococcolithus Kamptner (1954)
                                   Genus †Dictyococcites M. Black (1967)
                                   Genus Discosphaera Haeckel (1894)
                                   Genus †Isthmolithus G. Deflandre (1954)
                                   Genus †Nannoconus Kamptner (1931)
                                   1.1 Order Prymnesiales Papenfuss (1955) [monotypic]
                                   1.2 Order Phaeocystales Medlin (2000) [monotypic]
                                   2 "Nannoliths"
                                   3.1 "Holococcoliths"
                                   3.2.1 "Heterococcoliths"
                                   4 Order Coccolithales Schwarz (1932)