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 Sethophormidinae Haeckel, 1881
               1 Genus Astrophormis Haeckel, 1887 see Genus Tetraphormis Haeckel, 1881
               2 Genus Sethophormis Haeckel, 1887
               3 Genus Theophormis Haeckel, 1881
               4 Genus †Velicuculus Petrushevskaya, 1981, nom. null. see Genus Velicucullus Riedel & Campbell, 1952