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.
[[-127, -196, -139, 63, 44, -186, 42], [-45, 35, -73, -69], [81, -97], [-4, -14, -183, -19, 38, 83, -89], [-88, -45], [-116, -87]]