Chaotic evil

Chaotic evil is power without control, selfishness unfettered by any law.

A chaotic evil character does whatever his greed, hatred, and lust for destruction drive him to do. If he is simply out for whatever he can get, he is ruthless and brutal. If he is committed to the spread of evil and chaos, he is even worse. His plans are haphazard and any groups he joins or forms are poorly organized. Typically, chaotic evil people can be made to work together only by force, and their leader lasts only as long as he can thwart attempts to topple or assassinate him.

These characters will commit any act to further their own ends. Chaotic evil is sometimes called "demonic" because demons are the embodiment of chaotic evil.

Many serial killers would fit this description, as would indeed most of the more violent and reckless criminals found in the worst sorts of places.

Characters
Some characters in the Forgotten Realms setting identified as Chaotic Evil include:

Dinin Do'Urden Errtu Malice Do'Urden Malik el Sami yn Nasser Nalfein Do'Urden Obould Many-Arrows

Non-canonical: Edwin Odesseiron Korgan Bloodaxe Shar-Teel Tiax (Sarevok and Xzar are canonical characters whose non-canonical versions are known to be Chaotic Evil.)