If you're not picky about having the seconds appearing inI'm a little confused by the grouped capturetime output3rd example there, you can accomplishis this with the below. If you needsupposed to be 1325? Based off the seconds you can add them back ontorequirements of capturing the endsum of the grouping substringsnapshotvalues, the below query should get what you're after.
select dateadd(minute,1,convert(varchar(20),capturetime)), SUMsum(snapshotvalue)
from snapshotdata sd
group by dateadd(minute,1,convert(varchar(20),capturetime))
Alternatively you can play around with the datetime conversion to varchar options that are documented here: