Hierarchical Classification of the Coleoidea
Class Cephalopoda Cuvier, 1797
Subclass Coleoida Bather, 1888
Superorder Belemnoida Gray, 1849 
Order Aulacocerida Stolley, 1919
Family Aulacoceratidae Mojsisovics, 1882
Family Dictyoconitidae Gustomesov, 1978
Family Palaeobelemnopseidae Chen, 1982
Family Xiphoteuthididae Bather in Blake, 1892
Family Hematitidae Gustomesov, 1976
inc. sedis genus Jeletzkya Johnson & Richardson, 1968
Order Phragmoteuthida Jeletzky, 1965
Family Phragmoteuthididae Mojsisovics, 1882
Order Belemnitida Gray, 1849
Suborder Belemnitina Gray, 1849
Family Passaloteuthididae Naef, 1922
Family Salpingoteuthididae Doyle, 1992
Family Hastitidae Stolley, 1919
Family Cylindroteuthididae Stolley, 1919
Family Oxyteuthididae Stolley, 1919
Suborder Belemnopseina Jeletzky, 1965
Family Belemnopseidae Naef, 1922 (nomen invalidum, type genus preoccupied)
Family Dicoelitidae Saks & Nalnyeva, 1967
Family Duvaliidae Pavlow, 1914
Family Belemnitellidae Pavlow, 1914
Family Dimitobelidae Whitehouse, 1924
Order Diplobelida Jeletzky, 1965
Family Diplobelidae Naef, 1926 (incl. Conoteuthididae Drushchits &
Nerodenko, 1983)
Family Chondroteuthididae Jeletzky, 1965
Order Belemnoteuthina Stolley, 1919
Family Belemnotheutididae Zittel, 1884
Family Chitinobelidae Engeser & Reitner, 1983
Family Sueviteuthididae Reitner & Engeser, 1982
Superorder Decembrachiata Winckworth, 1932
Order Spirulida Pompeckj, 1912
Suborder Groenlandibelida Khromov, 1990
Family Groenlandibelidae Jeletzky, 1966
Family Adygeyidae Doguzhaeva, 1996
Family Belemnoseidae Wiltshire, 1869
Family Belopteridae Owen, 1856
Suborder Spirulina Pompeckj, 1912
Family Spirulirostridae Naef, 1921
Family Spirulirostrinidae Naef, 1921
Family Spirulidae Rafinesque, 1815
Order Sepiida Gray, 1849
Family Vasseuriidae Naef, 1921 †
Family Belosepiellidae Naef, 1921 †
Suborder Sepiina Gray, 1849
Plesion and Family Belosaepiidae Nyst, 1843 †
Plesion Sepioida
Family Sepiidae Lamarck, 1809
Family Sepiadariidae
Family Sepiolidae
Family Idiosepiidae
Plesion Teuthoida
SubPlesion Myopsida
Family Pickfordiateuthidae
Family Loliginidae Rafinesque, 1815
SubPlesion Oegopsida
Family Lycoteuthidae
Family Enoploteuthidae
Family Octopoteuthidae [Veranyidae]
Family Octopodoteuthidae
Family Onychoteuthidae
Family Cycloteuthidae
Family Gonatidae
Family Psychroteuthidae
Family Lepidoteuthidae [Pholidoteuthidae]
Family Architeuthidae
Family Alluroteuthidae [Neoteuthidae]
Family Histioteuthidae
Family Bathyteuthidae
Family Ctenopterygidae
Family Brachioteuthidae
Family Batoteuthidae
Family Ommastrephidae
Family Thysanoteuthidae
Family Chiroteuthidae [Valbyteuthidae]
Family Mastigoteuthidae
Family Promachoteuthidae
Family Grimalditeuthidae
Family Joubiniteuthidae
Family Cranchiidae
"Order Oegopseida d'Orbigny, 1845"
inc. sedis Order Boletzkyida Bandel, Reitner, Stürmer, 1985 (coleoids?, ectocochleates?)
Superorder Vampyropoda Boltzky, 1992
Order Vampyromorpha Grimpe, 1917
Suborder Prototeuthina Naef, 1921
Family Loligosepiidae Van Regteren Altena, 1949
Family Plesioteuthididae Naef, 1921
Family Geopeltididae Van Regteren Altena, 1949
Family Leptotheuthididae Naef, 1921
Family Lioteuthididae Naef, 1922
Family Mastigophoridae Engeser & Reitner, 1985
Suborder Vampyromorphina Grimpe, 1917
Family Vampyroteuthididae Thiele, 1915
Suborder Mesoteuthina Naef, 1921
Family Palaeololiginidae Naef, 1921
Subfamily Teudopseinae Naef, 1921
Subfamily Palaeololigininae Naef, 1921
Family Trachyteuthididae Naef, 1921
Subfamily Trachyteuthidinae Naef, 1921
Subfamily Actinosepiinae Doyle, Donovan & Nixon, 1994
?Suborder Kelaenina Starobogatov, 1983
Family Muensterellidae Roger, 1954
Order Octopoda Leach, 1817
Family Palaeoctopodidae Dollo, 1912 †
Family Octopodidae Rafinesque, 1815
Family Argonautidae Lamarck, 1809
Family Bolitaenidae
Family Amphitrenidae
Family Vitreledonellidae
Family Alloposidae
Family Idioctopodidae
Family Tremoctopodidae
Family Ocythoidea
Order Cirrata Grimpe, 1916
(= Cirroctopda Young, 1989)
Family Stauroteuthidae
Family Cirroteuthidae
Family Opisthoteuthidae
This arrangement follows Engeser 1998, with the inclusion of additional modern taxa