Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Nassellaria Ehrenberg, 1847
       Order Cyrtidinata Haeckel, 1862
         Superfamily Eucyrtidioidea Ehrenberg, 1847
           Family Eucyrtidiidae Ehrenberg, 1847
             Subfamily Calocyclinae Haeckel, 1881
               1 Genus Calocyclas Ehrenberg, 1847
               2 Genus †Theocapsomma Haeckel, 1887
               3 Genus Theocoronoium Afanasieva & Amon, 2005, nom. null. see Genus Theocoronium Haeckel, 1887