Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Stauraxonaria Afanasieva & Amon, 2005
       Order Spongurata Haeckel, 1862
         Family Litheliidae Haeckel, 1862
           1 Genus Cromyodruppa Haeckel, 1887
           2 Genus Lithelius Haeckel, 1860
           3 [Genus Discopyle Haeckel, 1887]
           4 [Genus †Lithocarpium Stöhr, 1880]
           5 [Genus Pylospira Haeckel, 1887]
           6 [Genus Spirema Haeckel, 1881]