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 Archipilioidea Haeckel, 1881
           Family Archipiliidae Haeckel, 1881
             Subfamily Sethopiliinae Haeckel, 1881
               1 Genus Arachocorallium Afanasieva & Amon, 2005, nom. null. see Genus Arachnocorallium Haeckel, 1887
               2 Genus Arachnocalpis Haeckel, 1881
               3 Genus Archibursa Haeckel, 1881
               4 Genus Peromelissa Haeckel, 1881
               5 Genus Plectacantha Jørgensen, 1905
               6 Genus Sethopilium Haeckel, 1881
               7 Genus †Tripodocorys Haeckel, 1881