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.
[[-117, -165, -5, -59], [5, 71], [-172, -191, -5, 71], [-55, -65, -134, -3], [28, -157], [-187, 63, -114], [-109, -163]]