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 Carpocaniidae Haeckel, 1881
             01 Genus Asecta Popofsky, 1913
             02 Genus Carpocanarium Haeckel, 1887
             03 Genus Carpocanistrum Haeckel, 1887
             04 Genus Carpocanium Ehrenberg, 1847
             05 Genus Carpocanobium Haeckel, 1887
             06 Genus †Carpocanopsis Riedel & Sanfilippo, 1971
             07 Genus †Carpocryptocapsa Petrushevskaya, 1981
             08 Genus Cyrtocalpis Haeckel, 1860
             09 Genus †Cystophormis Haeckel, 1887
             10 Genus †Diacanthocapsa Squinabol, 1903
             11 Genus †Myllocercion Foreman, 1968
             12 Genus Sethamphorus Burma, 1959
             13 Genus Trocolocapsa Afanasieva & Amon, 2005, nom. null. see Genus Tricolocapsa Haeckel, 1881