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.
[[60, 1], [-77, -9, -91, -22, 10, -87, -134], [-21, -8, -200, 13, 23, 88], [-19, -137, -15, 35]]