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 single medullary shell
             Family †Pantanelliidae Pessagno, 1977
               Subfamily †Vallupinae Pessagno & MacLeod, 1987
                 Genus †Bivallupus Pessagno & MacLeod, 1987