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 Lychnocanioidea Haeckel, 1881
           1 Family Silicarmigeridae Kozur & Mostler, 1980
           2 Family Lychnocaniidae Haeckel, 1881
           3 Family †Spongosilicarmigeridae Dumitrica, 2001
           4 Family †Deflandrecyrtiidae Kozur & Mostler, 1979
           5 Family †Spongolophophenidae Kozur & Mostler, 1994
           6 Family †Foremanellidae Cheng, 1986, nom. null. see Family Foremanellinidae Dumitrica, 1982
           7 Family †Cuniculiformidae De Wever, 1982
           8 Family †Livarellidae Kozur & Mostler, 1981
           9 Family Theoperidae Haeckel, 1881