Excellent information from koshkin. Indeed at the higher end, or even not so high these days, light transmission are quite comparable. Light transmission is a product of lens coating and ever since riflescope manufacturers followed the camera lens manufactuters lead on this, overall light transmission has increased dramatically. Just to shock everyone here, but one of the leaders, if not THE leader in over light transmission is riflescopes is Nikon. This is of course, due to its long time experience in camera lenses and the fact Nikon was a pioneer in lens coating and has been at the fore front of that and glass in general, ever since.
I have a Nikon Tactical 2.5-10X44 with illuminated reticle that I have used to excellent effect hunting wild pigs at midnight in south Texas.
As koshkin says, the objective lens diameter dictates the exit pupil size, but I will add that the overall illuminance that comes to your eye is a combination of objective lens size, light transmission and magnification. At night, you want to have the exit pupil at 5 or 6 (or greater) mm in diameter,to match the pupil size of your eye in those conditions; in other words, your pupil is large to accept as much light as possible, give it the exit pupil to match. So a 25X56 scope will have an exit pupil of 2 (still small,) but if you crank if down to 10X, the exit pupil will be 5.5 or some such. Add in great light transmission and you have decent illuminance to see what you want to see. Of course, at night, color and contrast will be diminished, because a scope will not create what it doesn't receive.
Remember, unlike what some gunwriters say, bigger glass is the only way to have more light going through a scope. Do not expect to use full magnification on riflescopes at night and expect to see very well. A 3-24X42 will do quite well until about 6X after which it will rapidly get darker. In order to use 24X, you would need a 100MM objective or bigger.