Class Actinopoda Calkins, 1902 see Parvkingdom Actinopoda Calkins, 1902
   Subclass Radiolaria Müller, 1858 see Phylum Actinopoda Calkins, 1902
     Superorder Polycystina Ehrenberg, 1838 see Class Polycystinea Ehrenberg, 1838
       Order Spumellaria Ehrenberg, 1875 see Class Spumellaria Ehrenberg, 1875
         Superfamily Actinommacea Haeckel, 1862 [polyphyletic?] see Order Actinommata Haeckel, 1862
           Actinommacea with double medullary shell
             Family Coccodiscidae Haeckel, 1862
               Subfamily Coccodiscinae Haeckel, 1862
                 ?Genus Astrophacus Haeckel, 1881
                 Genus Coccocyclia Haeckel, 1881
                 Genus Coccodiscusᵀ Haeckel, 1862
                 Genus Heliosestrum Haeckel, 1881
                 Genus Heliostylus Haeckel, 1881
                 Genus Lithocyclia Ehrenberg, 1847
                 Genus Phacodiscus Haeckel, 1881
                 Genus Phacostaurus Haeckel, 1881
                 Genus Phacostylus Haeckel, 1881
                 Genus Trigonactura Haeckel, 1881
                 Genus Sethostylus Haeckel, 1881
                 Genus Periphaena Ehrenberg, 1873