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.
[[53, -34, -71, -43, -141, -174, -73], [5, -80, -181, -140, -63, -86, 34], [-86, -1, 91, 15, -191], [-171, 1, -62, 9, -161, 40, 35]]