You know off a few of the halls already but I suppose some more information wouldn't be amiss. You know off 9 halls within the sect and each one is composed of at least one elder and several dozen inner disciples. In general all of the halls are independent of each other.
The halls you know of are:
The alchemy hall: responsible to brewing the many elixirs and pills consumed by the disciples of the sect for advancement, also create combat drugs when needed.
The refining/artificing hall: same as the above but for refining and crafting various "enchanted" items
The resource acquisition hall: the job of those guys is to go around harvesting the various resources within the sect territory, they also tend to herb gardens and even go mining. Basically this hall Is the one which gets the raw material the above two require.
The judgment hall: this is the internal police/judgment system of the sect all roll up in one hall. They are charged with enforcing the rules and meting out punishment for those who break them.
The exploration hall: the purpose of this hall is to go around and survey the sect territory and surroundings in search of noteworthy things, they also go delving in ancient ruins form time to time in search of treasure/lost knowledge.
The contracts and oaths hall: part foreign relation and part domestic arbitrator. This hall is in charge of both negotiating benefitable contracts and agreements for the sect and in making sure the sect keeps to its oaths and agreements. They are also charge with making sure land spirits/local gods are pacified and content and not running around causing devastation within the sect lands.
The treasure hall: one part treasury, one part bureaucracy and one part mission hall. The treasure hall is the one that is both in charge of creating the mission's as well as paying for their completion.
The library hall: this hall Is responsible with the safeguarding of knowledge and making it available to the sect and its disciples (for a reasonable fee).
The war hall: the main/standing fighting force of the sect, in truth if the sect goes to war everyone is participating but when the sect isn't at war footing those guys are the one who man the defenses and skirmish with the various enemies at the sect borders.