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.
[[-181, -61, 72, -13, -110, 13], [17, 64, -7, -169, 95], [-77, 39, 88, -102], [-159, 65, -142, -55, -62, 70]]