Acochlidia Odhner, 1937 see Order Acochlidia Odhner, 1937
   Microhedylacea see Suborder Microhedylacea Wawra, 1987, nom. ined.
     Family Microhedylidae Odhner, 1937 see Family Parhedylidae Thiele, 1931
       1 Microhedyle glandulifera (Kowalevsky, 1901)
       2 Microhedyle nahatensis
       3 Microhedyle odhneri (Ev. Marcus & Er. Marcus, 1955)
       4.1 Microhedyle remanei (Marcus, 1953)
       4.2 Family Ganitidae Rankin, 1979 see Family Parhedylidae Thiele, 1931
       5 Parhedyle cryptophthalma (Westheide & Wawra, 1974)
       6 Parhedyle tyrtowii (Kowalevsky, 1900)
       7 Parhedyle? gerlachi (Marcus & Marcus, 1959)
       8 Genus [Pontohedyle] Golikov & Starobogatov, 1972