Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Sphaerellaria Haeckel, 1881
       Order Hexalonchata Haeckel, 1881
         Family Hexalonchidae Haeckel, 1881
           1 Genus Heterosoma Mast, 1910, nom. illeg. see Genus Anomalosoma Loeblich & Tappan, 1961
           2 Genus Hexacontium Haeckel, 1881
           3 Genus Hexalonche Haeckel, 1881
           4 Genus Hollandosphaera Deflandre, 1973
           5 Genus Nanina Kozur & Mostler, 1982, nom. illeg. see Genus Pentactinosphaera Nagata & Nishimura, 1983
           6 Genus Tetrapetalon Hollande & Enjumet, 1960