The Doctor and Jo find part of the transported laboratory wall, with firmly closed doors, however they were wide open when they vanished.
When The Doctor and Jo find Bessie after they have been transported to the planet, the wheels of the car look like it had been driven there and not transported.
When UNIT Headquarters vanishes, it should have left behind its foundation, but curiously a well tended garden appears in its place.
As The Doctor, Benton, and the Brigadier exit the TARDIS they leave its doors wide open, unfortunately revealing the very un-transdimensional black painted rear of the studio prop.
Apparently Omega and his antimatter world enjoys the fantastically alien technology of a 70s style CRT TV screen set into the wall.
The lights used for the TARDIS set are reflected in the monitor showing William Hartnell and two, masking his eyes, fade out as he begins to speak.
The Doctor identifies a piece of equipment as "The Brigadier's Computer", but in fact the tall cabinet is merely a circa 1960's magnetic tape drive unit. It would connect to the computer, but it is not the computer. The Doctor should know this.