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.
[[-90, -120, -137], [-26, -49, -172, -164, -81], [-36, -98, 11], [-39, -30, -83, 96, 46, -114]]