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.
[[64, -179, -73, -85, -188, -193, 99], [-110, 11, -65], [-15, 24, 12], [59, -12, -186, -163, -108]]