Grognak had not looked at the map at all. The Super Mutant had spent the entire time posing in his amazing Grognak armour and re-reading his Grognak comic. As for his flashlight he had jabbed the butt end of it on a spike on his shoulder armour piece which mostly broke it, it flickered on and off every once in a while but for the most part it wasn't going to be doing much helping for the super mutant.

While the others were trying to prepare for the inevitable danger that would likely come ahead, Grognak was already prepared for any danger as he practiced swinging his axe, David, in the air in front of him. When they came to the branching paths Grognak just followed Kenneth to left as he assumed that the impromptu blacksmith knew where he was going.