Brunhilde ( ブリュンヒルト )
The Brunhilde was laid down in 486 RC (Reich Calendar) as the prototype to a new class of battleship. While she lacks the traditional forward-facing canons of the standard battleships of the time, her curved hull incorporates a magnetic reflection field which can deflect most particle shots directed at the ship.
The Brunhilde was assigned to Reinhard von Müsel as his flagship when he made it to Admiral at age 20. Because his sister was concubine to the Emperor, many thought that his quick ascension in rank was due to favoritism by the Emperor. However, time and again Reinhard would prove his tactical and strategic brilliance while at the helm of the Brunhilde- matched only by "miracle" Yang Wen-Li of the Free Planets Alliance space fleet.
The Brunhilde would last through the entire run of Legends of the Galactic Heroes- making her first chronological appearance under Reinhard's command during the battle of Legmiza. She would eventually come to serve as supreme flagship of the Goldenbaum, then Lohengramm, dynasties and eventually the "Palace" to Reinhard's leadership.
Standard Imperial Battleship ( 標準戦艦 )
This is the standard Imperial Battleship of the Imperial forces on the side of the Empire in LOGH. It is one of the most prolific vessels, and several ships have specific names and served as flagships for lesser characters. Mittermeyer and Reuantal both had flagships like this with their personal mark before being promoted to fleet admirals and getting thier own ships.
Pictured here is a custom warship in my own colors- the "Cygnus". Were I of rank in the Imperial fleets, this is what I'd have for my fleet (or flotilla) flagship.
Also on escort is an Imperial Destroyer and two Imperial gunships. The black color belongs to the "Black Lancers" squadron of the Imperial side.