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.
[[-23, -105, -89, -154, 64, -57, -200], [64, 5, 1, -133, 75, -72, -84], [-193, -124, -48, 21, 13, -14], [-13, 72, -146, -138], [-12, 15, 10, 15]]