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.
[[-187, -137, -154], [-36, -31, -1, -81, 8], [71, -85, -87], [16, -91, 30], [-176, -77, 12, -100, -135]]