Back in the Middle Ages there were beheadings and amputations for what today would be considered minor crimes. People would be whipped so badly that little skin remained on their backs. Others would be locked into stocks and left to die.
Torture and imprisonment was sued to exact confessions. People were beaten burned alive, covered with boiling water, or worse, tar, and fingers cut off. Branding was also used to identify criminals.
Outlaw bands roamed about, robbing villagers and city-dwellers alike. The harsher the crimes they committed, the worse the punishment. What’s more important is that the punishments were public affairs, much like going on a picnic or seeing a play.
Your task is to establish the role that crime and punishment takes in your world. You can borrow from earlier times or create your own system, but whichever you choose, it needs to make sense in terms of the society you have built. Medieval torture might not fit in a contemporary society, but maybe it does!
Write a story in which a crime is committed and punishment is doled out. Readers will want to be there from the beginning, to walk with the criminal throughout it all. Or if you write from the perspective of the officials who hunt down, catch and then punish, make sure that the details are intriguing enough to entice readers.
Have fun with this one.