'Preserve Timestamp Column during Pandas Groupby

I have a sizeable pandas df that I would like to aggregate by a Timestamp. The timestamps are on a granular scale(one second). Post aggregation, I would like the df to retain the first instance of that timestamp, but aggragated the following data by one minute periods.

Original:
Timestamp          Column
22-02-23 9:30:00   1
22-02-23 9:30:01   4
...
22-02-23 9:33:04   4
22-02-23 9:33:05   7
Grouped:
Timestamp          Column
22-02-23 9:30:00   5
...
22-02-23 9:33:04   11

Is there a pandas function for this? Or does this aggregation need to be done manually?



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