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.
[[-32, 22], [55, -147, 36, 40], [84, -35, -3, 89], [9, 55, -200, -63, -189], [-95, 27, -197, -15, -61], [28, 97, -187, -116, 17], [-78, -22, -29, -30, -87, -41, 3]]