Division Haptophyta Hibberd
   Class Prymnesiophyceae D.J. Hibberd (1976) see Class Coccolithophyceae Rothm. (1951)
     Subclass Prymnesiophycidae (D.J. Hibberd) Cavalier-Sm. (1986) see Class Prymnesiophyceae D.J. Hibberd (1976)
       "Holococcoliths"
         Family Calyptrosphaeraceae Boudreaux & Hay (1969)
           Genus †Acuturris F.H. Wind & S.W. Wise, in S.W. Wise & F.H. Wind, 1977
           Genus †Anfractus Medd, 1979
           Genus Anthosphaera Kamptner, 1936
           Genus †Bifidalithus Varol, 1991
           Genus Calcicasphaera Kleijne, 1992
           Genus †Calculites B. Prins & W. Sissingh, in W. Sissingh, 1977
           Genus Calyptrolithina Heimdal, 1982
           Genus Calyptrolithophora B.R. Heimdal, in B.R. Heimdal & Gaarder, 1980
           Genus Calyptrosphaera Lohmann, 1902
           Genus †Clathrolithus Deflandre, 1954
           Genus †Coccosphaerida Lambert, 1987
           Genus †Corannulus Stradner, 1962
           Genus Corisphaera Kamptner, 1936
           Genus Daktylethra Gartner, in Gartner & Bukry, 1969
           Genus Flosculosphaera Jordan & Kleijne, in Kleijne et al., 1991
           Genus Gliscolithus R.E. Norris, 1985
           Genus Helladosphaera Kamptner, 1936
           Genus †Holodiscolithus Roth, 1970
           Genus Homozygosphaera Deflandre, in Grassé, 1952
           Genus †Isocrystallithus J.W. Verbeek, 1976
           Genus †Lacunolithus Bown, 1993
           Genus †Lanternithus Stradner, 1962
           Genus †Lucianorhabdus Deflandre, 1959
           Genus †Metadoga Wind & Cepek, 1979
           Genus †Multipartis J.B. Risatti, 1973
           Genus †Munarinus J.B. Risatti, 1973
           Genus †Octolithus A.J.T. Romein, 1979
           Genus †Okkolithus F.H. Wind & S.W. Wise, in S.W. Wise & F.H. Wind, 1977
           ?Genus †Orastrum F.H. Wind & S.W. Wise, in S.W. Wise & F.H. Wind, 1977
           Genus †Orthozygus Bramlette & Wilcoxon, 1967
           Genus †Ottavianus J.B. Risatti, 1973
           Genus Periphyllophora Kamptner, 1936
           Genus †Peritrachelina Deflandre, in Grassé, 1952
           Genus †Petrobrasiella Troelsen & Quadros, 1971
           Genus †Pharus F.H. Wind & S.W. Wise (1977), nom. illeg.
           Genus Poricalyptra Kleijne, 1991
           Genus Poritectolithus Kleijne, 1991
           Genus †Pseudoconus Bown & Cooper, 1989
           Genus †Quadrilateralis Varol, 1991
           Genus †Ramsaya J.B. Risatti, 1973
           Genus †Russellia J.B. Risatti, 1973
           Genus †Saepiovirgata Varol, 1991
           Genus Sphaerocalyptra Deflandre, in Grassé, 1952
           Genus †Stereorhabdus Lambert, 1987
           Genus Syracolithus (Kamptner) Deflandre, in Grassé, 1952
           Genus †Zebrashapka Covington & Wise, 1987
           Genus Zygosphaera Kamptner, 1936
           Genus †Zygrhablithus Deflandre, 1959