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 Theoperidae Haeckel, 1881
             01 Genus †Artoperina Campbell, 1951
             02 Genus Dictyophimus Ehrenberg, 1847
             03 Genus Eusyringium Haeckel, 1881
             04 Genus †Pterocyrtidium Bütschli, 1881
             05 Genus Rhopalatractus Haeckel, 1881
             06 Genus Rhopalocanium Ehrenberg, 1847
             07 Genus Theopera Haeckel, 1881
             08 Genus Theophaena Haeckel, 1881