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 Lampromitridae Haeckel, 1881
             Subfamily Ceratocyrtinae Petrushevskaya, 1981
               1 Genus Antarctissa Petrushevskaya, 1967
               2 Genus Bathrocalpis Clark & Campbell, 1942
               3 Genus Ceratocyrtis Bütschli, 1881
               4 Genus Gondwanaria Petrushevskaya, 1975
               5 Genus †Helotholus Jørgensen, 1905
               6 Genus Periarachnium Haeckel, 1881
               7 Genus Phlebarachnium Haeckel, 1881
               8 Genus Pseudodictyophimus Petrushevskaya, 1971