Summary
The F-302 is the operational designation for the X-302, a completely human-built, space-worthy intercept fighter jet which has the capability of interstellar travel via a hyperspace window. The first time the F-302 is mentioned is in the episode, 7.01 "Fallen Part 1".

Technical Details
The F-302 intercept fighter has four different sets of engines: air breathing jets, modified aerospikes for high altitude, a rocket booster, and a hyperspace window generator. But, because the F-302 uses naquadria to power the hyperdrive window generator, the F-302 has a more compact hyperdrive engine and thus became the first human-built space craft thought to be capable of interstellar travel. Because of the instability of the naquadria, however, the hyperspace window can only be generated for a very brief moment, thus greatly limiting the F-302's interstellar travel capabilities. (6.01 "Redemption Part 1", concerning the F-302's experimental predecessor, the X-302; 7.01 "Fallen Part 1").The X-302 reached the hypersonic speed of Mach 6 inside Earth's atmosphere at an altitude of 30 kilometers. The interceptor uses the modified aerospike engines in high altitudes. These capabilities were most likely inherited by the F-302. (6.01 "Redemption Part 1", 6.02 "Redemption Part 2")The F-302 has hundreds of safety mechanisms to compensate for anything that could go wrong. It also has an autopilot which cuts in to ensure safety. As with other Earth aircraft, the F-302 also has ejection seats. (6.01 "Redemption Part 1", 6.02 "Redemption Part 2")Colson Aviation was contracted by the government to develop the multiple engine control system (MEC) for the aircraft, but was not given all the information concerning the fighter's hybrid design. Along with inertial dampeners, the F-302 has the maneuverability of an F/A-22 Raptor and the ride of a Boeing 747.

Controls
AG-1: Rocket engine

Unfortunately I couldn’t make a hyperdrive yet but it may come soon to the design.