Factual error: When the EMP goes off - apart from the obvious like the ridiculous shockwave...it causes the big gates to fall down. This is a unsecure security principal called "Failing open." I highly doubt that a secure military station would "fail open." Instead if would fail closed - ie if something went wrong then the defense systems would default to being closed and impenetrable.
Factual error: The Akula class submarine is an attack class submarine, not an SSBN (Missile Carrier).
Plot hole: The nuclear codes are stolen and the Russian guy holding them was let go by Dom. He would contact his government to let them know and the codes changed. Cypher would also know this so her plan is flawed.
Continuity mistake: As Dom escapes the grappling hooks, the cars get wrecked. He crawls out from his car and the silver briefcase is within arm's reach, right next to double yellow lines. Only problem is, in the earlier shot from above, he crashed nowhere near lines like that, and there was no briefcase there either.
Continuity mistake: When the red Toyota starts up and rams the taxi in the New York scene the front off-side light cover pops off. In the next shot when it pulls away the light is repaired and the damage on the front is less, like brand new.
Continuity mistake: Prison scene - Jason Statham jumps over the first rail and lands with his right hand on ground. He would have rolled over his right shoulder, but when it cuts to him he rolls on his left shoulder. Next rail he jumps over and right when his feet hit the ground his bracelet is on his left wrist, but it's previously been on his right.
Plot hole: Anything conducting electricity within the blast radius of the EMP, and not in a Faraday cage, would have been permanently fried. Since the whole base was within the radius (needed to take out the gate) including Dom's car and the Submarine, Cypher's plan was flawed from the beginning.
Continuity mistake: At the end of the movie in the ice chase scene, Hobbs' get away truck has tank tracks for wheels, not tires. When he rams the Russians coming from the right, you can see his getaway truck has a tire on the front left. The next time you see the truck it is back to having only tracks again.