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Cetaceans fall into two parvorder; Toothed Whales and Baleen whales.
Sperm Whales are Wahles, they're just Toothed Whales, not Baleen Whales like, for example, a Blue Whale.
There is a subgroup of toothed whales the super-family of Delphinoidea, and then below that they are in a family called Oceanic dolphin; they are, infact the largest, of any dolphins.Having done a load of reading on the zoological stucture of all Cetaceans this afternoon, I am reminded why I am not a Zoologist as biological ordering is a right pain to wrap you head round.
Apparently a Sperm Whale is not a whale anymore than the Killer Whale is but they're both cool names. Though Michael Jackson, as far as I know, did not name an album "Sperm".
Edit: His album was Thriller wasn't it? I've let myself down and the forum too.