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.
[[-195, 0], [42, 19, -7], [-155, -76, -83], [-144, 19, 88], [-139, -174, -137, 59]]