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.
[[73, 71, -32, -159, 1, -193], [-66, -47, -184, 78, 62], [-164, -162, -37, -199, -167, 63, -163]]