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
             Subfamily †Neosciadiocapsinae Pessagno, 1969
               1 Genus †Coniforma Pessagno, 1969
               2 Genus †Ewingella Pessagno, 1969, nom. illeg. see Genus Ewingium Pessagno, 1976
               3 Genus †Ewingium Pessagno, 1976
               4 Genus †Lipmanium Pessagno, 1969
               5 Genus †Microsciadiocapsa Pessagno, 1969
               6 Genus †Neosciadiocapsa Pessagno, 1969
               7 Genus †Petasiforma Pessagno, 1969
               8 Genus †Sciadiocapsa Squinabol, 1904
               9 Genus †Scyphiforma Pessagno, 1969