Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Nassellaria Ehrenberg, 1847
       Order Cyrtidinata Haeckel, 1862
         Superfamily Acropyramidoidea Haeckel, 1881
           Family Sethophormididae Haeckel, 1881
             1 Subfamily Sethophormidinae Haeckel, 1881
             2 Subfamily Theopiliinae Haeckel, 1881
             3 Subfamily †Rotaforminae Pessagno, 1970
             4 Subfamily †Neosciadiocapsinae Pessagno, 1969
             5 Subfamily Enneaphormidinae Petrushevskaya, 1981