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)
       "Nannoliths"
         Genus †Assipetra Thierstein (1973)
         Genus †Biantholithus Bramlette & E. Martini (1964)
         ?Genus †Centosphaera Wind & S.W. Wise (1977)
         ?Genus †Ceratolithina E. Martini (1967)
         ?Genus †Ceratolithoides Bramlette & E. Martini (1964)
         Genus Florisphaera Okada & Honjo (1973)
         Genus †Hayesites H. Manivit (1971)
         Genus †Hexalithus M. Gardet (1955)
         Genus †Imperiaster Martini (1970)
         ?Genus †Kokia Perch-Nielsen (1988)
         ?Genus †Liliasterites Stradner & Steinmetz (1984)
         1 Family Braarudosphaeraceae Deflandre (1947)
         2 Family †Goniolithaceae Deflandre (1957)
         3 Family †Lapideacassaceae Bown & Young (1997)
         4 Order †Discoasterales Hay (1977)
         5 Family †Lithostromationaceae Deflandre (1959)
         6 Family Ceratolithaceae Norris (1965)
         7 Family †Triquetrorhabdulaceae Lipps (1969)