Subclass Radiolaria Müller, 1858 see Phylum Actinopoda Calkins, 1902
   Order Polycystina Ehrenberg, 1838 see Class Polycystina Ehrenberg, 1838
     Suborder Nassellaria Ehrenberg, 1875 see Class Nassellaria Ehrenberg, 1847
       Family Trissocyclidae Haeckel, 1881 see Family Acanthodesmiidae Haeckel, 1862
         Genus Giraffospyris Haeckel, 1881
           Giraffospyris angulata (Haeckel, 1887) see Acanthodesmia viniculata (Müller, 1857)