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
           Family Lychnocaniidae Haeckel, 1881
             1 Subfamily Lychnocaniinae Haeckel, 1881
             2 Subfamily †Lithochytridinae Petrushevskaya, 1981
             3 Subfamily Ultranaporinae Pessagno, 1977
             4 Subfamily †Bekominae Dumitrica, 2001