I know of three types;
1. The type that occur on the pubic area, either on the hair or skin. They're called pubic lice or crabs (not the edible one, though).
2. Head lice - these once are commonly seen on the skin on top of the head (scalp).
3. Body lice - They appear on the body (armpits especially), after hiding in comfortable locations on your beds, clothing or furniture.