Order Acochlidia Odhner, 1937
   Suborder Microhedylacea Wawra, 1987, nom. ined.
     1 Family Asperspinidae Rankin, 1979
     2 Family Microhedylidae Odhner, 1937 see Family Parhedylidae Thiele, 1931
     3 Family Ganitidae Rankin, 1979 see Family Parhedylidae Thiele, 1931