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.
[[-57, -21, 14, 51], [-114, -132, -190, -37, -14, -199], [29, -15, -37, -134, -178, 96]]