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.
[[-105, -162, 54, 4, 30, 87, 75], [15, 100, -120, -168, -84, -36], [-27, -129, 88], [-96, 79], [-6, -113, -6, 85, -52, 15, -43]]