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.
[[15, -115, 32, 79, -47, -177], [-128, -138, 55, -116, -199], [-133, 21, -32, -6], [-136, 74, -97, -60, -138, -124, -31]]