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 Nassellaria Ehrenberg, 1875 see Class Nassellaria Ehrenberg, 1847
         Family Acropyramididae Haeckel, 1881
           01 Genus Artostrobus Haeckel, 1887
           02 Genus Bathropyramis Haeckel, 1881
           03 Genus Celluronta Sugiyama, 1997
           04 Genus Cinclopyramis Haeckel, 1879
           05 Genus Cladarachnium Haeckel, 1881
           06 Genus Cornutella Ehrenberg, 1839
           07 ?Genus Dictyodedalus O'Dogherty, 1994
           08 Genus Haliphormartidium Campbell, 1951
           09 Genus Litharachnium Haeckel, 1860
           10 Genus Peripyramis Haeckel, 1881
           11 Genus Polypleuris Haeckel, 1887
           12 Genus Sethopyramis Haeckel, 1881
           13 Genus Spongopyramis Haeckel, 1887