SQL: difference between PARTITION BY and GROUP BY

Question

They’re used in different places. GROUP BY modifies the entire query, like:

select customerId, count(*) as orderCount
from Orders
group by customerId

But PARTITION BY just works on a window function, like ROW_NUMBER():

select row_number() over (partition by customerId order by orderId)
    as OrderNumberForThisCustomer
from Orders

GROUP BY normally reduces the number of rows returned by rolling
them up and calculating averages or sums for each row.
PARTITION BY does not affect the number of rows returned, but it
changes how a window function’s result is calculated.