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.
[[-127, -140, 79, -157, -164], [2, -48, -195, -195, 39, 59, -71], [71, -55, -84, -39, -162, -116, -198], [-64, 44, -33, -130, 3, 91], [-197, -129, -112, 53], [6, -21, -21, 96, -113], [-196, 28, 70, -24, 74, 5]]