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.
[[78, -23, -113, -137, 21, 71], [-195, 80], [-169, 20, 35, -101, 91, -78], [-174, 31, -169, -18, -159, 99, -7]]