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.
[[-164, 13, -95, -31, -99, 34], [-73, -109], [-37, 16, 88, 86, -117]]