Mackerel Sharks
The order Lamniformes includes some of the best-known and biggest sharks. Among them are the great white shark, the basking shark and the thresher sharks. All these species are targeted for their fins, and all are either endangered or vulnerable. The great white shark, for example, might be the most feared species of shark, especially after starring in the '70s thriller "Jaws." However, they are more threatened by humans than humans are by them.
Ground Sharks
Carcharhiniformes is another order boasting well-known sharks, such as the bizarre looking hammerheads, whose fins command high prices. The order also includes the family of requiem sharks. These are sharks are your typical sharks, with streamlined bodies and sharp teeth. Tiger sharks, bull sharks and the spinner sharks, which jump out of the water, are all requiem sharks, and they are all taken for their fins.
Dogfish
The order Squaliformes includes all the sharks known as dogfish, the bramble sharks and the rough sharks. They are generally small, benthic, seabed-dwelling sharks that lay eggs and reproduce relatively quickly. Their fins are not of much value, although these animals are often targeted for their meat. The tails of some species of dogfish are used for cheap versions of shark fin soup.
Others
Of the five remaining orders of sharks, carpet sharks, bullhead sharks, angel sharks, frilled sharks and saw sharks, few species are used for shark fin soup. They are mostly small sharks, with small or undesirable fins, and they are not valuable in the shark fin market. Some species, notably the critically endangered angel sharks and the whale shark -- a species of carpet shark and the largest fish in the world -- are targeted for their meat or oil, but not the fins.