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.
[[-177, -137, -166], [36, -145, -162, 85], [-158, -105, -173, -120], [-125, -108, 94, -54, -179, -157]]