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 Spongodiscata Haeckel, 1862
         Family Coccodiscidae Haeckel, 1862
           Subfamily Artiscinae Haeckel, 1881
             1 Genus Cypassis Haeckel, 1887
             2 Genus †Diartus Sanfilippo & Riedel, 1980
             3 Genus Didymocyrtis Haeckel, 1860
             4 Genus Ommatartus Haeckel, 1881
             5 Genus Spongoliva Haeckel, 1887