Use names aggregation with GroupBy.agg with first and last or min and max:
df = (df.groupby(['A-Party','IMEI'], as_index=False)
.agg(**{'First Date':('Date & Time', 'first'),
'Last Date': ('Date & Time', 'last')}))
df.insert(1,'Total IMEI', df.groupby('A-Party')['A-Party'].transform('size'))
print (df)
A-Party Total IMEI IMEI First Date Last Date
0 3022275 2 A 2021-05-01 7:20:05 2022-08-01 6:20:05
1 3022275 2 B 2021-03-02 9:20:05 2022-05-01 10:20:05
If need spaces (not recommended, because possible mixing numeric with strings ''):
df.loc[df.duplicated(['A-Party','Total IMEI']), ['A-Party','Total IMEI']] = ''
print (df)
A-Party Total IMEI IMEI First Date Last Date
0 3022275 2 A 2021-05-01 7:20:05 2022-08-01 6:20:05
1 B 2021-03-02 9:20:05 2022-05-01 10:20:05
If need MultiIndex:
df = (df.groupby(['A-Party','IMEI'], as_index=False)
.agg(**{'First Date':('Date & Time', 'first'),
'Last Date': ('Date & Time', 'last')}))
df.insert(1,'Total IMEI', df.groupby('A-Party')['A-Party'].transform('size'))
df = df.set_index(['A-Party','Total IMEI','IMEI'])
print (df)
First Date Last Date
A-Party Total IMEI IMEI
3022275 2 A 2021-05-01 7:20:05 2022-08-01 6:20:05
B 2021-03-02 9:20:05 2022-05-01 10:20:05
EDIT: Add GroupBy.size to named aggregations:
df = (df.groupby(['A-Party','IMEI'], as_index=False)
.agg(**{'Total IMEI':('IMEI', 'size'),
'First Date':('Date & Time', 'first'),
'Last Date': ('Date & Time', 'last')}))
print (df)
A-Party IMEI Total IMEI First Date Last Date
0 3022275 A 3 2021-05-01 7:20:05 2022-08-01 6:20:05
1 3022275 B 3 2021-03-02 9:20:05 2022-05-01 10:20:05
df = df.set_index(['A-Party','Total IMEI','IMEI'])
print (df)
First Date Last Date
A-Party Total IMEI IMEI
3022275 3 A 2021-05-01 7:20:05 2022-08-01 6:20:05
B 2021-03-02 9:20:05 2022-05-01 10:20:05
EDIT1:
df = (df.assign(dates = df['Date & Time'].dt.date)
.groupby(['A-Party','IMEI'], as_index=False)
.agg(**{'Total IMEI':('IMEI', 'size'),
'No unique days': ('dates', 'nunique'),
'First Date':('Date & Time', 'first'),
'Last Date': ('Date & Time', 'last')}))
print (df)