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.
[[-47, -90, -88, -93, -36], [13, -137, -126, 63], [33, 8, -57, 79, 37]]