Subclass Radiolaria Müller, 1858 see Phylum Actinopoda Calkins, 1902
   Order Polycystina Ehrenberg, 1838 see Class Polycystina Ehrenberg, 1838
     Suborder Spumellaria Ehrenberg, 1875 see Class Spumellaria Ehrenberg, 1875
       Family Spongodiscidae Haeckel, 1862
         Genus Spongaster Ehrenberg, 1860
           Spongaster tetras Ehrenberg, 1860
             Spongaster tetras irregularis Nigrini, 1967