Naef, 1916
The following subtaxa of this order occur in the region:
Suborder Myopsida
Family Loliginidae
Genus Alloteuthis
Alloteuthis media
Alloteuthis subulata
Genus Loligo
Loligo forbesi
Loligo vulgaris
Suborder Oegopsida
Family Brachioteuthidae
Genus Brachioteuthis
Brachioteuthis riisei
Family Cranchiidae
Genus Galiteuthis
Galiteuthis armata
Genus Teuthowenia
Teuthowenia megalops
Family Gonatidae
Genus Gonatus
Gonatus fabricii
Family Ommastrephidae
Genus Illex
Illex coindetii
Genus Ommastrephes
Ommastrephes bartramii
Genus Todarodes
Todarodes sagittatus
Genus Todaropsis
Todaropsis eblanae