Taxonomy of the Cephalopods (Cephalopoda)

Class: Cephalopoda

Subclass: Nautiloidea

Family: Nautilidae, e.g. Nautilus pompilius, the Common Nautilus.

Subclass: Ammonoidea (Ammonite relatives, extinct)

Subclass: Coleoidea

Superorder: Octopodiformes

Order: Vampyromorpha

Family: Vampyroteuthidae

Order: Octopoda

Suborder: Cirrata

Suborder: Incirrata

Tribus: Argonautida

Family: Alloposidae
Family: Argonautidae, e.g. Argonauta argo, the Paper Nautilus.
Family: Ocythoidae
Family: Tremoctopodidae

Tribus: ----

Family: Amphitretidae
Family: Octopodidae, Octopuses.
Family: Vitreledonellidae
Family: Bolitaenidae

Superorder: Decapodiformes

Order: Teuthida

Suborder: Oegopsida

Family: Architeuthidae, Giant Squids.

Suborder: Myopsida

Family: Loliginidae, Squids.
Family: Chtenopterygidae
Family: Bathyteuthidae

Order: Sepiida

Family: Sepiidae, Cuttlefish.
Family: Spirulidae
Family: Idiosepiidae
Family: Sepiadariidae
Family: Sepiolidae

Reference: http://tolweb.org...: Tree of Life - Cephalopoda.