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 Pterocoryidae Haeckel, 1881
             Subfamily Pterocoryinae Haeckel, 1881
               01 Genus Androcyclas Jørgensen, 1905
               02 Genus Craterocyclas Haecker, 1908
               03 Genus †Ectonocorys Foreman, 1968
               04 Genus Hexalodus Haecker, 1908
               05 Genus Lamprocycloma Haeckel, 1887
               06 Genus Lamrocyclas Afanasieva & Amon, 2005, nom. null. see Genus Lamprocyclas Haeckel, 1881
               07 Genus Lipmanella Loeblich & Tappan, 1961
               08 Genus Lithopilium Popofsky, 1913
               09 Genus Tetracorethra Haeckel, 1881
               10 Genus Theocapsilla Haeckel, 1887
               11 Genus Theocapsura Haeckel, 1887
               12 Genus Theoconus Haeckel, 1887
               13 Genus Theocorbis Haeckel, 1887
               14 Genus Theocorythium Haeckel, 1887