The 4 Great Houses of Ishgard and their responsibilties

[Dalvy]

Durendaire has the most influence, I thought? From all the quests involving them, I got that they seemed proud to have the most funds, wider sphere of influence and better soldiers. They also had control over Stone Vigil, lost it twice and still remained financially and militarily secure versus Haillenarte. They're also in control of both Astrology buildings, with the one in C. Coerthas formerly being under Haillenarte jurisdiction. Also, though Falcon's Nest is a Durendaire/Dzaemal project, Western Coerthas is basically Durendaire territory, cause I haven't seen any dzaemal npcs.

I assume Dusk Vigil was theirs too, but given the name...

Dzaemal, though... Not much is known about them.