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, -101, 88, 59, 10, 21, -177], [-13, 58, 39, -149], [-196, -190, -168, -130, -147, -20, -83]]