When the power has been activated, you'll need to play a round of 'Samantha Says' on the four computers in the outside area near the beginning. You will also get the Cryogenic Slumber Party Achievement after saving Samantha (about Half way through the easter egg)
I would only go for this achievement if you have 4 people, however, you can do this with just 2 or 3 people as well. This is thanks to Erspence over at Īlso Thanks to mcsportzhawk on YouTube, show him some love.