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 Litheliidae Haeckel, 1862
         1 Genus Larcopyle Dreyer, 1889
         2 Genus Larcospira Haeckel, 1887
         3 Genus Lithelius Haeckel, 1860
         4 Genus Pylospira Haeckel, 1887
         5 Genus Spirema Haeckel, 1881