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 Sethocoryinae Haeckel, 1881
               1 Genus Antocyrtissa Afanasieva & Amon, 2005, nom. null. see Genus Anthocyrtissa Haeckel, 1887
               2 Genus †Antocyrtura Afanasieva & Amon, 2005, nom. null. see Genus Anthocyrtura Haeckel, 1887
               3 Genus Conarachnium Haeckel, 1881
               4 Genus Phormocampe Haeckel, 1887
               5 Genus Sethocorys Haeckel, 1881
               6 Genus Sethocyrtis Haeckel, 1887