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.
[[-179, 59, 8], [-137, -159, -164, -15, -43, 36, 40], [-104, 89, 45, 22, -44]]