What are the three main divisions of the ninth circle of Hell?

The ninth circle of Hell in Dante's Inferno is specifically divided into three regions that reflect the severity of the sins committed by the souls trapped there. These divisions are Caina, Antenora, and Ptolomea.

Caina is named after Cain, the biblical figure who killed his brother Abel, and it holds those who betrayed their kin. Antenora follows and is named after Antenor of Troy, who is known for his betrayal and contains those who have betrayed their country or political party. Lastly, Ptolomea is named after Ptolemaeus, who is associated with the betrayal of guests and hosts, marking the betrayal of hospitality. Each region reflects the nature of the betrayal and is characterized by different punishments corresponding to the gravity of the betrayal committed.

This division notably emphasizes the theme of betrayal, which is a central concept in Dante’s portrayal of Hell. It underscores Dante's moral structure, where the deeper one descends into Hell, the more severe and treacherous the sins become. The selections that include Limbo, Lust, Gluttony, Pride, Greed, Wrath, Heretics, Violence, and Fraud do not correspond to the specific punishments and divisions found in the ninth circle