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.
[[87, -129, 69, -74, -73], [26, 85, -197, -96], [-198, -124, -54], [33, -198, 27, 97, -163, 78], [-35, -44, 93, 50, 56, 37]]