[Neoselachii] Compagno, 1977 - modern sharks and rays see Cohort Neoselachii Compagno, 1977
   Order Carcharhiniformes Compagno, 1973 - ground sharks
     Family Triakidae Gray, 1851 - houndsharks
       1 Genus Furgaleus Whitley, 1951 [monotypic]
       2 Genus Galeorhinus Blainville, 1816 [monotypic]
       3 Genus Gogolia L.J.V. Compagno, 1973 [monotypic]
       4 Genus Hemitriakis Herre, 1923
       5 Genus Hypogaleus Smith, 1957 [monotypic]
       6 Genus Iago Compagno & Springer, 1971
       7 Genus Mustelus Linck, 1790 - smoothhounds
       8 Genus Scylliogaleus Boulenger, 1902 [monotypic]
       9 Genus Triakis Müller & Henle, 1838