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 Eucyrtidioidea Ehrenberg, 1847
           Family Eucyrtidiidae Ehrenberg, 1847
             Subfamily Theocotylinae Petrushevskaya, 1981
               01 Genus Axocorys Haeckel, 1881
               02 Genus †Calocycloma Haeckel, 1887
               03 Genus †Calocyclura Haeckel, 1887
               04 Genus †Cycladophora Ehrenberg, 1847
               05 Genus Dictyopodium Ehrenberg, 1847
               06 Genus †Lampterium Haeckel, 1881
               07 Genus †Lamptidium Haeckel, 1887
               08 Genus †Lamptonium Haeckel, 1887
               09 Genus Lophoconus Haeckel, 1887
               10 Genus †Podocyrtecium Haeckel, 1887
               11 Genus †Podocyrtonium Haeckel, 1887
               12 Genus Pterocodon Ehrenberg, 1847
               13 Genus Pterosyringium Haeckel, 1887
               14 Genus †Tetralocorys Petrushevskaya & Kozlova, 1972, nom. null. see Genus Tetralacorys Haeckel, 1881
               15 Genus †Theocotyle Riedel & Sanfilippo, 1970
               16 Genus Thyrsocyrtis Ehrenberg, 1847