Factual error: The German agent pretending to be an American pilot is wearing a one piece flying suit from the 1960's when he is questioned by Hogan and the British escapee in the barracks. It even has the US Air Force logo on the sleeve, which didn't come into use until 1947, after the war.
Factual error: In several episodes, the fence around the cooler is visible, and hanging on it, a sign saying "Eingang verboten" meaning "no entry." The correct German term would be "Zutritt verboten." In German, "Eingang" is the opening where you enter a building, not the act of entering one.
Factual error: When the SS guard is calling Sergeant Shultz after seeing the burning fuse, he addresses Shultz as "Sergeant", rather than the proper German word for Shultz's rank, "Feldwebel."
Factual error: While the barracks were reasonable replicas of the real POW barracks, there was one main difference. The original buildings were elevated to ensure any escape attempts could be stopped. In this series, the barracks are flush on the ground, which makes the tunnel access possible and easy.
Factual error: Baker and Kinchloe, the radio experts of the troupe, often use Morse code to communicate by radio. When they do, they hammer the Morse key in different intervals, but always just barely tap it. Morse code is made up of "short" and "long" beeps. To produce a "long" in Morse code, you have to hold the key down three times as long as you would for a "short". A tap would be a "short" - the beeps they are sending are spaced long and short, but that's not how Morse code works.
Factual error: Burkhalter refers to Jesse Owens winning the gold medals in the Berlin Olympics, and that Hitler left the stadium every time Owens was to be presented a medal. Truth was, Hitler left the stadium when another black man won the day before, and didn't snub Owens at all. In fact, Hitler wasn't in attendance the days Owens won.
Factual error: The guard outside Klink's office and the two Gestapo soldiers guarding the gold truck have MP38/40 and a Thompson submachine gun, but carry rifle ammunition pouches instead of the long ammo pouches that carried the 30-round magazines used by the MP38/40.
Factual error: In the rec hall where Klink is weightlifting, there is an advertisement poster for the Grindelwald region on the wall, which is in Switzerland. The German propaganda poured a lot of money into promoting the Reich's own recreational regions through the "Kraft durch Freude" program. With the war going badly, they especially wouldn't want a "Look how beautiful Switzerland is" poster in plain view of their troops every day.
Factual error: When the crew in the plane gets ready to drop the bombs on the refinery, Hogan (in the pilot seat) tells Carter (who is looking through the bomb sight) exactly when to push the button. In fact, the pilot of a WW2 bomber had no way of even knowing when exactly to release the bombs - it was the job of the bombardier, looking through his targeting optics, to know that. Carter at the bomb sight should be telling Hogan how exactly to steer to get the bombs onto the target.
Factual error: The "Blue Baron" tells the dancer that the Kaiser gave him a certain medal. In fact, the medal he points to (and the girl fondles) is a WW2 repeat badge to the Iron Cross first class, instituted in 1939 to denote presentations of the Iron Cross first class to personnel who had already received it in WW1. He may have received the original Iron Cross from the Kaiser, but by the time he had a chance to receive that repeat badge, the Kaiser was long through handing out medals. (00:15:10)
Factual error: In many episodes, SS members of all ranks appear - the most notorious recurring character being Major Hochstetter. Curiously enough, Hochstetter couldn't have been a Major in the SS, simply because that rank didn't exist there. The SS used the SA rank system, not the Wehrmacht one. Hochstetter for example would have to be a Sturmbannführer. Colonel Feldkamp would have to be a Standartenführer. To avoid confusion: Hochstetter sometimes claims he is Gestapo, even when he's wearing an SS uniform (different mistake). However, he couldn't be a major there either - he'd have to be a Kriminalrat or Kriminaldirektor, because the Gestapo, which was in principle a civilian police organisation and wasn't half as closely integrated with the SS or the military as the series would have us believe, didn't use military ranks at all.
Factual error: The American women the SS brings into camp claim to be entertainers having performed for troops. The series is allegedly set in 1942. Before June 6th, 1944 there were no allied troop concentrations in central Europe, certainly not in Germany, and very certainly none of a size and security rating the USO (or probably rather its predecessor organization, since the USO was founded in 1941 and would not have been fully operational yet) would send a troupe of female entertainers to.
Factual error: In the ammunition dump, a sign saying "Warnung Hoche Sprenggefahr" can be seen. That is not correct German. First, and foremost, it must be "hohe" and not "hoche", the latter form does not exist. Secondly, the word "Sprenggefahr", while not formally wrong, was never used in German. Depending on what the meaning of the sign is supposed to be, it must either be "Explosionsgefahr", if the overall danger of an explosion is meant, or if the property of the ammunition of being explosive is meant, it should be "Hochexplosiv." If the general presence of explosive material is being warned of, "Explosivstoffe" or "Hochexplosives Material" would be possible.