"With our combined strength, we can end this destructive conflict, and bring order to the galaxy!"
The first of the three evil alignments, Lawful Evil characters are villains who prefer to operate within the system, and from their position of power and authority in said system do evil. Lawful Evil characters can either be self-righteous anti-villains who genuinely desire to bring a kind of peace, but via fascism and brutality, or alternatively just sadistic control freaks who enjoy having power over others. If a villain makes it clear that they desire some kind of order, then they are most certainly this alignment. Villains who again, do evil from a position of power and authority are also almost invariably this. Finally, though this by no means a universal truth, Lawful Evil is the most likely of the three evil alignments to have villains who actually honor their word.