|The following is based on Fallout Shelter or Fallout Shelter Online and some details might contradict canon.|
Requirements for the quest require all dwellers to be equipped with a flamer, in which they must burn a mole rat nest. The ground floor has a mole rat broodmother with four mole rats in the second room and a group of three mole rats in the third. On the first floor above ground level, left of the doubled-up elevators, are three groups of three mole rats. The top floor has a group of four mole rats in the left room and another three in the right room.
On the floor below ground level, there is a group of three mole rats in the left room. On the second floor below ground level, there is another group of three mole rats in the leftmost room, a mole rat broodmother accompanied by four mole rats in the middle room, and another group of three mole rats in the right room. The bottom floor is accessible from two elevators on the right side of the building. There is a group of three mole rats in the right room. Two rooms to the left is a room with a broodmother and five additional mole rats. Defeat them and the broodmother's corpse will yield a random legendary junk. The room also contains a rare outfit and two Nuka-Cola Quantums. The room to the left has one last trio of mole rats.