I will be in Milan on June 11 and need to fly out of Geneva on June 14. After much research I've decided to spend the little time I have in Bernese Oberland, making Murren my base. I will take the earliest train into Interlaken on June 11. I realize I need to take a train from Interlaken to Lauterbrunnen and then take a cable car up to Murren. My flight from Geneva is at 3pm, is it possible for me to get from Murren to Geneva in time to catch that flight on the 14th? How early in the morning do the cable cars and train from Lauterbrunnen to Interlaken start operation? I don't mind starting the journey very early in the morning, I just don't want to lose a day in Murren by going to Geneva a day early.
Thank you in advance.