The two main classes of Aztec society were

1) Nobles or nobility: This class was made up of the ruling elite and consisted of the emperor, the royal family, the highest-ranking priests, and the highest-ranking military leaders. They held significant political power, owned large estates, and controlled the economy.

2) Commoners or the lower class: This class was comprised of the majority of the population and included farmers, traders, artisans, and laborers. They had fewer rights and privileges compared to the nobles, but still had a specific place in society. They usually worked on nobles' estates or in their workshops, and their main role was to provide food and goods for the upper class.