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)
       "Heterococcoliths"
         "Placoliths"
           1 Order Prinsiales Young & Bown (1997)
           2 Order Coccosphaerales Haeckel (1894)
           3 Order †Watznaueriales Bown (1987)