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.
[[-147, -150], [-34, -79, 36, 49, 96, 71], [-138, -73, 17, -70, 72, -111]]