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While every division of Seireitei has their own warriors, the Combat Corps are an entire class devoted to physical strength. Their focus is entirely battle, and their daily lives and training reflect that. Strength and loyalty are the most important aspects that members of the Combat Corps consider when judging their peers. While many Shinigami join the Combat Corps with a hope of becoming stronger and seeing real action, few stick around once they realize how intense the training is.
There's not much in the way of written history for the Combat Corps. A minimum amount of physical records are kept, and instead the daring tales of the past of the Combat Corps are told by word of mouth, the stories becoming grander with each generation.
Despite their demeanor as a bunch of hard-headed bloodthirsty berserkers, which isn't completely undeserved, the members of the Combat Corps are well trained in combat tactics, especially the seated officers. Their casualty rate is kept much lower than it could have been based simply on the fact that the higher ranking officers know when to order a retreat and where to focus their forces in a large fight.
The first thing a newcomer grunt learns is humility. Exercises are particularly long, grueling, and painful, and the unseated troops routinely haze the new guy. All so that a newcomer can let go of any arrogance they might have so they can follow orders and not get themselves recklessly killed. That being said, troops who last long enough will eventually find the Combat Corps to be a fiercely loyal and welcoming band of brothers (and sisters), who would equally sacrifice their lives and simultaneously refuse to leave a man behind.
Kido, gadgets, Zanpakuto with special abilities, and other such aspects not related to pure physical strength are silently frowned upon. It's an unwritten rule that members of the Combat Corps are judged based on purely their physical strength and skill. In live combat, kido, etc. are plenty appreciated as they help keep the troops alive. When it comes to training, sparring, or duels between members of the Combat Corps, kido and other such things are labeled as "cheap tricks" and using them against other members of the Combat Corps is frowned upon by all.
"The Pack" is a very recent nickname for the Division based on how the very beast-like Kiba seems to be the current defacto leader for the group.
Division Structure
The structure of the division is much looser than other divisions. First, the Captain of the Combat Corps has always been a Kenpachi, a title bestowed to the physical strongest, and a title that has always been passed down through a deathmatch between the previous Kenpachi and whomever wishes to take that title, or, if the Kenpachi dies of other causes, he names a worthy disciple. However, recently the most recent Kenpachi, Kenpachi Osuma, died defending Rukongai from a surprise attack by Arrancar. By the time he was found, he was already dead, in his arms a scared child from Zaraki whom he died protecting. Without a named heir, no one in the division is sure what happens to the title of Kenpachi, or how a new captain would be named. Even if a new captain was appointed by the Captain-Commander, to the Combat Corps, the new captain would be captain in name-only, a substitute until a rightful Kenpachi assumed command.
For now, Vice-Captain Kiba takes charge of leading the group, leading tougher training sessions than ever before. Kiba's daily training sessions are often taking on the entire division with "cheap tricks" of course barred. The troops are lucky to end the "training session" with only minor injuries. Routinely at least a dozen unseated officers are hospitalized. So far, only the seated officers give Kiba any real trouble, but he hasn't lost one of these matches yet.
Behind the Captain and Vice-Captain in rank are an indeterminate number of seated officers. The actual numbers of the seats change frequently as seated officers constantly challenge each other to duels with rank on the line. They proudly display what number seat they are, but the number changes so often that everyone outside of the Combat Corps refers to them by other names and titles that stay constant. Each seated officer has about a dozen or so unseated shinigami as their personal squadron to undergo unique training and specialize in whatever the seated officer desires. There can be any number of seated officers, but the test to become one is an excruciating endurance test and obstacle course where even a Zanpakuto is forbidden to use, even unreleased, and at the absolute fastest the obstacle course takes at least a week without rest to overcome. Kiba currently holds the fastest time for this trial, but that's likely because it's his usual element.
Major Locations
The Barracks - The majority of the Combat Corps live in group quarters in the barracks. There are two wings, one for men and one for women (though the women's wing isn't nearly as populated). There are group baths and a joint cafeteria. Private cabins exist for the seated officers nearby.
The Training Grounds - The Training Grounds can actually describe the majority of the Combat Corps grounds. There's everything from large barren lots to gyms to sports fields, though most of it is a little run-down, due to the Combat Corps' lack of appreciation for aesthetics. There are several different obstacles courses, ranging from difficult to near impossible.
Hellpath - The hellpath is the granddaddy of all obstacle courses. Using a Zanpakuto, Kido, or other special abilities it's difficult but doable, but in order to truly complete it as intended one has to leave behind their Zanpakuto and forego the use of Kido, Shunpo, or any items to complete it. The details are largely left secret, but what is known is that every Captain, Vice-Captain, and seated officer since the founding of the Combat Corps has added a new obstacle.
Kenpachi no Tousha - Formerly the private quarters of Kenpachi Osuma, this building is the only part of the Combat Corps kept immaculate out of respect. Theoretically, Kiba could use these quarters for himself since he's acting captain, but since he prefers the outdoors anyway, the building is left untouched as a memorial. Perhaps one day if a Kenpachi is named will it be occupied again. Inside is a large natural boulder jutting up out of the ground, vaguely sword-shaped, with the names of all the Kenpachi over history engraved on it.
Hierarchy
Kenpachi: Kenpachi Osuma (Deceased)
Vice-Captain: Kiba
Third Seat: Hiju Naijeru
Squad:
Other Seated Officers:
Unseated:
Relationships with other Divisions
Commander Division - Despite the fraternal nature of the Combat Corps, nearly all still recognize their loyalties as shinigami. The Combat Corps recognizes the authoritative position of the Commander Division and usually follows orders without too much trouble, as long as they don't terribly conflict with Combat Corps ideals. Kiba himself doesn't show much loyalty to the Commander Division as he does to the previous Kenpachi's ideals, but more or less follows direct orders because in his mind that's what the previous Kenpachi would've wanted. When it comes to bureaucracy, red tape, and politics, the Combat Corps stays out.
Internal Security - Members of the Combat Corps can get a little rowdy, and sometimes internal affairs steps in, but Combat Corps generally takes care of their own and vouches for one another. Punishments are preferred to be handled within the Combat Corps, which causes some friction between the two divisions.
Logistics & Medicine - Considering these are the people patching up the Combat Corps on nearly a daily basis (sometimes literally in Kiba's case), the Combat Corps respects this division and sets aside its usual grudges against Kido and the like. If anything, they might complain about not getting back on active duty fast enough, and sometimes this division complains that wounds aren't getting treated when the Combat Corps members insist that it's just a flesh wound.
Reconnassaince - The higher ranking officers in particular share a close relationship with the Recon division, as the Combat Corps uses their information to form battle tactics and strategies. Their continued good relations rely on the Recon division's competency and success of their function.
Shinigami Science Institute - If the Combat Corps could vote one division off the island, metaphorically speaking, it'd be these guys. Science? Sorcery? On the one hand, some of this stuff might be useful down the line. On the other hand, the Combat Corps sees them as delving where they ought not to be. The Shinigami Science Institute brings the superstition out of members of the division, and they're hardly trusted.