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.
[[9, -147], [-79, -4, 13, -71, -85, -58], [-169, -59, -195, -130, -88]]