Those are direct opposites, actually, as far opposites as Neutrals can be. Lawful, according to D&D because I'm a huge nerd, is the Alignment that denotes rule-following, loyalty, social bondage, and other such traits. It's for people who have some kind of code and hold fast to it. Most people would be classified as Lawful Neutral in society today. Chaotic, on the other hand, denotes personal opinion, convictions, and beliefs over any kind of formal control. It's for anyone who listens to themselves above the collective, the individual over the nation.