A lawful neutral character acts as law, tradition, or a personal code directs him/her. Order and organization are paramount to him/her. They may believe in personal order and live by a code or standard, or they may believe in order for all and favor a strong, organized government.
Lawful neutral is the best alignment you can be because it means you are reliable and honorable without being a zealot.
Lawful neutral can be a dangerous alignment when it seeks to eliminate all freedom, choice, and diversity in society.