Continuity mistake: When Helga brings in Klink's dinner and sits it down, Klink takes off his monocle. In the close up, it's on and his hands are folded, then he points to a chess piece, contemplating a move. In the wide shot, he's holding his monocle, and puts it on.
Continuity mistake: The breast eagle on Schultz's uniform is sewn on backwards after the first season, and his belt buckle also changes from a Luftwaffe buckle to a different one.
Watch the Trains Go By - S4-E19
Continuity mistake: As Schultz is by the car, Hogan is behind the fire brigade equipment. When Klink calls Schultz, Hogan gets up from behind the equipment. A second later, in a closeup, he comes up from behind the equipment again.
Visible crew/equipment: Every time the boys use a flashlight to signal the planes, you can see the camera crew and equipment.
Factual error: While the show always made it winter time by having snow on everything (salt piles strewn about) and icicles on all the windows, this episode has an actual date of occurrence, June 6, 1944. They help to solve the snow on the set by taping the whole episode inside. However, the windows still all have the ice formations on them. It's late spring.
The Top Secret Top Coat - S2-E29
Factual error: In Klink's quarters, there's an (obviously fake) banana in the fruit bowl. Bananas were luxury items in Europe in the 1940s, and certainly so in war-torn Germany. The majority of Germans didn't have access to exotic fruit until the 1960s, and fake fruit of this type wasn't available then either.
German Bridge Is Falling Down - S1-E7
Character mistake: When counting the prisoners right at the beginning of the episode, Schultz counts to 15. However, including Hogan there are 19 men in formation.
German Bridge Is Falling Down - S1-E7
Continuity mistake: When we see the men lighting cigarettes, there are 25 people forming the arrow. When we are treated to an aerial view of it, there are 37 dots of light visible.
German Bridge Is Falling Down - S1-E7
Plot hole: We see Hogan's men empty out the gunpowder from a lot of cartridges inside the armoury. What did they do with their empties? It's not like a mound of empty cartridge cases on the ground wouldn't draw some suspicion is it? Yes, I am aware some options come to mind, e.g. putting the bullets back in and stuffing them back into the belts, but none of that is actually shown or talked about - LeBeau even chucks one cartridge over his shoulder, implying they are not very concerned about hiding their tracks.
Happy Birthday, Adolf - S1-E17
Character mistake: The artillery officer asks "Does headquarters expect a squad of infantry to replace experienced artillery men?" Hogan only offered "his detachment", and he's wearing a Luftwaffe uniform (and so is LeBeau). Why does the artillery officer get the idea that the "detachment" would be infantry, that is to say, ground forces (Heer) troops? To avoid confusion: Yes, the Luftwaffe did have infantry units, but those would be viewed by other branches as Luftwaffe guards primarily, not as infantry.
Continuity mistake: All through the episode, we are in a snowy, wintry camp surrounded by hills and trees. The target Gen. Burkhalter points out however is a little shed on a flat-as-a-board prairie with not a flake of snow OR a single hill visible anywhere, and the brown grass of late summer. (Yes I noticed there are some mountains off in the distance. So not relevant for this mistake).
To Russia Without Love - S6-E18
Revealing mistake: As the motorcycle and the side car split apart and drive around independently, you can see that the side car has been given two extra wheels, and some other stuff underneath as well that's not present on regular Wehrmacht BMW sidecars - probably a remote control of sorts. Also, the motorcycle Schultz rides has training wheels mounted in the shot where the side car comes off.
Factual error: Frankel suggests manipulating the missile's gyroscope, and Hogan suggests an electromagnet as means to do it, which is later implemented. Gyroscopes however are not affected by any magnetic force, which is what makes a gyroscopic compass superior to a magnetic one in many situations. To enhance that effect, gyroscopes are deliberately built out of materials with as little magnetic susceptibility as possible. A large electromagnet next to the missile could potentially cause all kinds of havoc with all kinds of parts of the missile guidance and control, but the gyroscope itself would not be among them.
Other mistake: When the Heroes are outside talking, the camera focuses on Col. Hogan. Over his right shoulder you can see a hill with a baseball field's home plate fencing on top.
Factual error: The motorcycle courier coming in wears sunglasses that are definitely newer than 1942. Sunglasses with domed, wrap-around lenses were not invented in the 1940s.
Kommandant of the Year - S1-E3
Factual error: A sharp brass cone has been put over the spike on Klink's Pickelhaube, so Hogan can pin the page torn from the Geneva Convention onto it. The real spike of a Pickelhaube has concave slopes, and it isn't pointy enough to pin a piece of paper onto it.
How to Catch a Papa Bear - S4-E3
Factual error: In the tunnel Hogan loads a magazine into a US issue .45 pistol and points it at Myra, but he never chambered a round and didn't cock the hammer on the pistol. The .45 pistol in WW2 was single action. For a single action pistol to fire, a round needs to be chambered and the hammer has to be cocked manually before the trigger is pulled and the pistol to fire. (00:22:00)
Colonel Klink's Secret Weapon - S2-E28
Continuity mistake: During the inspector general's visit, Le Beau and Newark fall out with switched hats (i.e. Newark is wearing Le Beau's red hat and vice versa). In the next shot when in formation, they are wearing their own hats. (00:21:00 - 00:22:00)
Audio problem: Hogan knocks out his pipe against the Prussian helmet on Klink's desk. It makes a tinny, metallic sound. The Prussian Pickelhaube was made from compressed leather, not metal.
Factual error: Hogan calls the radio detection truck "radar" when he orders the SS guard to switch it off. From other episodes, we know that Hogan knows what radar is, and back then, the difference between radio homing equipment and radar was even clearer to people than it is today, because radio homing was an established technology, while radar was brand new, and most people were not even aware it existed.
Answer: It's a solitary cell. Steve McQueen, star of 'The Great Escape' is known as the 'Cooler King'.