From The Matrix wiki
Nebuchadnezzar
The Nebuchadnezzar is a hovercraft used by the human resistance in the war against the machines, serving as the primary base of operations for Morpheus and his crew.
Design and Purpose
The Nebuchadnezzar is a Logos-class hovercraft that utilises advanced electromagnetic levitation technology to navigate the maintenance tunnels of the real world. It serves as a mobile command centre for the resistance, allowing its crew to jack into the Matrix to locate potential candidates for liberation and conduct tactical missions against the machine surveillance network.
History
Commanded by Morpheus, the ship was instrumental in the search for the One. It provided a sanctuary for Neo following his extraction from the simulated reality. The vessel remained a vital asset to the human cause until it was destroyed by a sentinel attack while the crew was attempting to contact the Oracle. Its loss marked a significant turning point in the conflict, forcing the surviving crew members to rely on other ships such as the Logos and the Hammer.