In an establishment view, using stock footage, viewers catch a brief glimpse of the sail aboard USS Louisiana (SSBN-743), an FBM (Trident) boat of the Ohio class.
The fictional submarine involved here is USS San Antonio (SSN-784). There is no such ship in the US Navy. The real SSN-784 is USS North Dakota, a fast-attack boat of the Virginia class, and the real USS San Antonio is an amphibious transport ship and the lead ship in her class.