Species
- Genus Ancistroteuthis
- Angel Clubhook Squid or Angel Squid, Ancistroteuthis lichtensteini
- Genus Kondakovia
- Genus Moroteuthis
- Greater Hooked Squid, Moroteuthis ingens
- Smooth Hooked Squid, Moroteuthis knipovitchi
- Japanese Hooked Squid, Moroteuthis lönnbergii
- Rugose Hooked Squid, Moroteuthis robsoni
- Robust Clubhook Squid, Moroteuthis robusta
- Genus Notonykia
- Genus Onychoteuthis
- Common Clubhook Squid, Onychoteuthis banksii
- Boreal Clubhook Squid, Onychoteuthis borealijaponicus
- Onychoteuthis compacta
- Onychoteuthis meridiopacifica
- Genus Onykia
- Onykia appellöfi
- Tropical Clubhook Squid, Onykia carriboea
- Onykia indica
- Onykia intermedia
- Onykia platyptera
- Onykia rancureli
- Onykia verrilli
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