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.
[[-7, -38, -173, 89], [90, -49, -69, -83, -99], [-100, -35, -104, -122, -66, 7, 99], [-135, -55, -40, -37, 69, -119, -62], [71, 70, 53, 58, 11]]