Brotherhood Ranks

Leadership Ranks: High Elder, Elder, Administorum, General,
Warmaster, Sentinel, Head Paladin, Head Knight

High Elder: Commands all Brotherhood Members in all divisons and does any task deemed nessicary to assist the Brotherhood and its goals.

Elder: The Elders form the Brotherhood's ruling council. Individual Elders are occasionally leaders of localized splinter chapters of the Brotherhood under normal circumstances. Elders do whatever is deemed nessicary by the High Elder and have full permission to give orders to all Brotherhood Members.

Administorum: Takes orders from only the High Elder. Does everything deemed nessicary by the High Elder to accomplish a task.

General: Generals control all of the Brotherhood's military. They report to the High Elder and the Elder Council and will only make a move if it's approved by them. They help decide the titles of the most promising recruits from Initiates and Squires all the way up to the Head Paladin and Head Knight.

Warmaster: Assists any Leadership ranks and prepares raiding parties, Defensive measures to protect bases, And any Military-Offensive/Defensive based action.

Sentinel: Assists the High Elder specifically in any Offensive/Defensive measures deemed nessicary. Also watches among the ranks seeking out potential hostile covert operations occuring.

Head Paladin: The Head Paladin is responsible for dealing with the paladins in the same way the Head Knight does, but the Head Paladin chooses which paladins should lead each knight squad and which areas may prove to be suitable HQ's. The Head Paladin holds meetings with the High Elder, Elders, Head Scribe, Generals and Head Knight. Both the Head Knight and Head Paladin report to the High Elder and Generals, no one else.

Head Knight: The Head Knight is responsible for allocating knights to missions ( i.e. to defend bases or to secure areas of interest.) The Head Knight is also responsible for reporting all incidents involving the knights to the Generals, Elders or High Elder (depending on the severity of the situation.)
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Infantry-Adept: Paladin Commander, Knight Commander, Paladin Marshal, Star Paladin, Paladin Sergeant, J.Paladin Sergeant, Senior Paladin, Paladin, Junior Paladin, S.Paladin Initiate, Paladin Initiate, Paladin Trainee
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Infantry-Novice: Knight Commander, Knight Marshal, Knight Captain, Senior Knight Sergeant, Knight Sergeant, Senior Knight, Knight, Junior Knight, Journeyman Knight, Squire, Junior Squire, Senior Initiate, Initiate, Junior Initiate


Ranking Source[fallout.wikia.com]
Brotherhood Of Steel Wikipedia[fallout.wikia.com]