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
             Subfamily †Lithochytridinae Petrushevskaya, 1981
               1 Genus †Lithochytris Ehrenberg, 1847
               2 Genus †Lithochytrodes Haeckel, 1887
               3 Genus †Lychnocanella Haeckel, 1887
               4 Genus †Sethochytris Haeckel, 1881
               5 Genus †Theopodium Haeckel, 1881