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 Sethoperidae Haeckel, 1881
             Subfamily Sethoperinae Haeckel, 1881
               01 Genus Arachnopilium Haeckel, 1881
               02 Genus Artopera Haeckel, 1881
               03 Genus Callimitra Haeckel, 1881
               04 Genus Cladoscenium Haeckel, 1881
               05 Genus Clathrocorona Haeckel, 1881
               06 Genus Clathrocorys Haeckel, 1881
               07 Genus †Clathrolychnus Haeckel, 1881
               08 Genus Dictyocodoma Haeckel, 1887
               09 Genus Dictyocodon Haeckel, 1881
               10 Genus Periplecta Haeckel, 1881
               11 Genus Plectagonidium Cachon & Cachon, 1969
               12 Genus Pteropilium Haeckel, 1881
               13 Genus Sethopera Haeckel, 1881
               14 Genus Tripocyrtis Haeckel, 1887