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 Acropyramidoidea Haeckel, 1881
Family Sethophormididae Haeckel, 1881
Subfamily Sethophormidinae Haeckel, 1881
1 Genus Astrophormis Haeckel, 1887
see Genus Tetraphormis Haeckel, 1881
2 Genus Sethophormis Haeckel, 1887
3 Genus Theophormis Haeckel, 1881
4 Genus †Velicuculus Petrushevskaya, 1981, nom. null.
see Genus Velicucullus Riedel & Campbell, 1952