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.
[[63, -97, -69, 67, 34, -44, -120], [-115, -7, -121, -53], [-177, 61, -137, -123, -71, 22], [-78, -13, -42, -87, -115]]