Republic Star Destroyer often served as flagship for Jedi Generals during the Clone Wars. One Star Destroyer, "Negotiator", served as a flagship of General Obi-Wan Kenobi.
Ships of this class defended Coruscant during Separatist attack in which Chancellor Palpatine has been captured. Several were destroyed by Malevolence, but Malevolence itself was also destroyed.
Republic Star Destroyer is arrow-shaped vessel, with eight double heavy turbolaser turrets at each side of command tower. Two more heavy turbolaser emplacements are seen towards the bow.
Ship itself functions as both battleship and carrier, with clearly visible hangar openings on sides of the ship, as well as possible hangar deck running down the center of hull.
Republic Star Destroyer is called "Venator-class Star Destroyer" in fanon.