Factions

In Kobayashi-san Chi no Maid Dragon, dragons are split into different factions. There are the Chaos, Harmony and Spectating factions.

Chaos
Seeks to kill and destroy all humans and their civilizations and also destroy the gods. Tohru, Damocles, Fafnir, Ilulu and Kimun belong to this faction.

Harmony/Order
Their objective is stopping the Chaos faction in order for humans to live among dragons and worship the gods. Elma, Telne, Clemene, Lumineis, Tatsuzawa and Jida belong to this faction.

Clemene is specifically part of the Dragon Slayer subgroup which is led by one of the three persona of Jida. This subgroup has the more radical aim of eliminating all opposition groups, essentially being "Harmony in name only".

Spectation
Completely neutral, they do not intervene with the other factions' affairs. Lucoa is the only known dragon who belongs to this faction.

Trivia

 * Kanna is the only known dragon that does not affiliate with any factions.
 * However, in chapter 127, it is revealed that Oli is another dragon that doesn't affiliate with any faction.