Exterior

Exterior (「エクステリア」, Extelia/Exteria/Exterior) is apparently some device that greatly boosts   Shokuhou Misaki 's power from several hundred meters range and absolutely controlling a maximum of 10 people (or from about 100 people as long as they are doing simple commands) to a range of several kilometers, allowing her to put thousands of people under her control.

Agitate Halation Project Arc (New Testament Volume 7)
At some point during this arc, when Shokuhou reveals to Touma the extent of her powers, she makes it clear that she does not have the increased abilities that Exterior allows her to use. She does not explicitly mention Exterior at all. Therefore, in all probability, Exterior has been destroyed sometime before this point, probably during the Daihasesai arc.