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 Astrosphaeridae Haeckel, 1881
               01 Genus Arachnosphaera Haeckel, 1860
               02 Genus Astrosphaeraᵀ Haeckel, 1887
               03 Genus Astrospongus Mast, 1910
               04 Genus Cladococcus Müller, 1856
               05 Genus Diplosphaera Haeckel, 1860
               06 Genus Drymosphaera Haeckel, 1881
               07 Genus Elaphococcus Haeckel, 1881
               08 Genus Haeckeliella Hollande & Enjumet, 1960
               09 Genus Haplosphaera Hollande & Enjumet, 1960
               10 Genus Heliosphaera Haeckel, 1860
               11 Genus Heteracantha Mast, 1910, nom. illeg. see Genus Anomalacantha Loeblich & Tappan, 1961
               12 Genus Hexancistra Haeckel, 1879
               13 Genus Hexapyramis Squinabol, 1903
               14 Genus Leptosphaera Haeckel, 1887
               15 Genus Lychnosphaera Haeckel, 1881
               16 Genus Porococcus Hollande & Enjumet, 1960, nom. illeg.
               17 Genus Rhizoplegma Haeckel, 1881
               18 Genus Rhizospongus Mast, 1910
               19 Genus Thalassoplegma Hollande & Enjumet, 1960