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.
[[88, 67, 40], [-84, -133, -51, -132, 32, 52], [-126, 12, -190, 40, -91, -37], [-199, -132, -196, -11], [-81, -115, 73], [-129, -24, -184, 45, -49, -13, 78]]