Superorder Neuropterida
   Order Neuroptera Linnaeus, 1758 - lacewings
     Family Coniopterygidae Burmeister - dustywings
       0 Genus †Archiconiopteryx Enderlein, 1909
       01 Genus †Alboconis Nel et al., 2005
       02 Genus †Apoglaesoconis D. Grimaldi, 2000
       03 Genus †Archiconiocompsa G. Enderlein, 1910
       04 Genus †Archiconis Enderlein, 1930
       05 Genus Coniopteryx Curtis, 1834
       06 Genus †Gallosemidalis Nel et al., 2005
       07 Genus †Glaesoconis Meinander, 1975
       08 Genus †Heminiphetia Enderlein, 1930
       09 Genus †Hemisemidalis Meinander, 1972
       10 Genus †Juraconiopteryx Meinander, 1975
       11 Genus †Libanoconis Engel, 2002b
       12 Genus †Libanosemidalis Azar et al., 2000
       13 Genus †Pararchiconis A. Nel, 1990[1991]
       14 Genus †Phthanoconis Engel, 2004a
       15 Genus Semidalis Enderlein, 1905
       16 Genus Spiloconis Enderlein, 1907