Take max value from a vlookup

[mmccleve]

I am attempting to match the latest time stamp from column G that corresponds to my vlookup of column I.

The time stamps are people logging in and out of their phones throughout a single day. Currently, the vlookup will only find the first "true" instance and ignore the other matching names, so it will never return the maximum value for the respective rows.

I.e. In the attachment, the first person is Graham, Shannell. She has three distinct time stamps. Her end (or max) time stamp is in cell G5 and is 3:04 PM. I would like that value to return in K3 because it is the max value and it matches with the name in I3.

Brass Tax of the matter:
When column I matches rows in column A, return the max value for the match in column K.

Column K is the formula I do not have completed, and I've highlighted it for ease.

This is my first post. I've been referred by a friend, and current member of the site, and I've heard good things.

Suggestions are welcome!

Thank you for reading!!