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.
[[-38, -13, -197, -169, 19, -135], [-45, -148, -164], [-169, -116, 79, 37, -134, 7, 46]]