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.
[[9, -155, -135, 27, -63, 83], [21, 16, -121], [-23, -85], [-191, -96], [-6, -62, -96, 62, 49, 83], [49, -141]]