"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. While there are some villains in positions of authority who are not Lawful Evil, they are the exception, not the rule, and for the most part being evil and in a position of authority denotes Lawful Evil. 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. While I do not believe that having a code of honor automatically makes you Lawful (plenty of the characters described below have no such codes of scruples), Lawful Evil characters are nevertheless still the Evil characters most likely to have some kind of honor and again, keep their word.