In this task, you are given a list. This list contains many lists of integers. The list is several items written within a []. Your task is to find the maximum number among the members of each inner list. The output should be a list comprised of the maximums with the same order as the internal lists.
[[-21, 32, -31], [44, -174, -197, 38, 17, -68, -154], [-9, 66, -2, 71, -67, -13, -46]]