that's the CIC of Galactica (BS-75)
via wikipedia
"During her service, Galactica formed a part of Battlestar Group 75 (BSG 75), a colonial force described by series creator Ronald D. Moore as a mixed force of vessels somewhat similar to a U.S. Navy carrier strike group.
Like many of her sister ships that survived the first Cylon War, Galactica underwent refits and upgrades (for example, at the end of her career, she was equipped with the latest Mark VII Viper space superiority fighter). However, the computer systems were never networked nor integrated during these refits.
Due to this lack of network integration at the time of the Cylon attack, Galactica was unaffected by the infiltration program used by the Cylons to disable colonial vessels and defense systems, using the Command Navigation Program (CNP), developed by Dr. Gaius Baltar and subverted by Cylon operative Number Six as a back door into such systems."
