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.
[[-93, 62, -178, -23, -15], [-35, 41, -67, 34], [-71, -81, 85, -172, -53, -39], [-158, -15, -156, -71, 47]]