I've often thought this is a very poor piece of design/information display, and wondered why they hide the information like that - there isn't much that would confuse people.
The important bits, that I guess most passengers would want to see, include the flight number, duration, and terminal information. These could easily fit with the times on the left - as could the aircraft type - in more attractively visual design.
The selling class could be included in small type with each price. As presumably every flight is "non-smoking", having it specified as such in a pop up is surely just superfluous?!
Without thinking, I often accidentally click the class (i.e. Business/Economy) when I mean to click the flight number in order to see the booking class!