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.
[[71, 23], [-131, 91, -146, -31], [-131, -3, -17, 21, -8, -127, 33], [-134, -27, 78, -118, 96, -72, 44]]