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.
[[62, -19, -55], [66, 76, -187, -41], [4, 8, -110, 79, -53], [-113, -29, -7], [-133, -154, 68, 47, 53, -68, 33], [-80, -140, -37, -163, -78, 99]]