Acochlidia Odhner, 1937 see Order Acochlidia Odhner, 1937
   Microhedylacea see Suborder Microhedylacea Wawra, 1987, nom. ined.
     Family Asperspinidae Rankin, 1979
       Genus [Asperspina] Rankin, 1979
         1.1 Asperspina brambelli (Swedmark, 1968)
         1.2.1 Asperspina murmanica (Kudinskaya & Minichev, 1978)
         1.2.2 Asperspina rhopalotecta Salvini-Plawen, 1973
         2 Asperspina loricata (Swedmark, 1968)
         3 Asperspina riseri (Morse, 1976)