Subclass Radiolaria Müller, 1858 see Phylum Actinopoda Calkins, 1902
   Order Polycystina Ehrenberg, 1838 see Class Polycystina Ehrenberg, 1838
     Suborder Nassellaria Ehrenberg, 1875 see Class Nassellaria Ehrenberg, 1847
       Family Theoperidae Haeckel, 1881
         1 Genus Peripyramis Haeckel, 1881
         2 Genus Plectopyramis Haeckel, 1881
         3 Genus Dictyophimus Ehrenberg, 1847
         4 Genus Pterocanium Ehrenberg, 1847
         5 Genus Theocalyptra Haeckel, 1881
         6 Genus Eucyrtidium Ehrenberg, 1847
         7 Genus Lithocampe Ehrenberg, 1838