The concept of the "nine princes of hell" isn't universally recognized across all mythologies or demonologies, but one well-known classification comes from Heinrich Cornelius Agrippa's "Pseudomonarchia Daemonum" and "The Lesser Key of Solomon." Here are the nine kings of hell according to these texts:

1. **Lucifer** - The most powerful demon, often considered the ruler of all demons.

2. **Beelzebub** - Known as the prince of demons and often associated with pride.

3. **Satan** - The embodiment of evil and the adversary of good.

4. **Mammon** - The demon of greed and wealth.

5. **Asmodeus** - The demon of lust and lasciviousness.

6. **Leviathan** - Often associated with envy and the sea.

7. **Baal** - A demon associated with power and strength.

8. **Belphegor** - The demon of sloth and idleness.

9. **Amon** - A demon associated with wrath and anger.

These names and associations can vary depending on different texts and traditions.