The Bank of International Settlements’ (BIS) international banking statistics, in Sweden called RUTS/IRIS, illustrates the Swedish banking sector’s international interconnections. The statistics are compiled and published at both a consolidated and unconsolidated level, and are used for analyses of financial stability and of the internationalization of the banking sector. 

The statistics are now called international banking statistics (IRIS) and as of the 1st quarter of 2023 it will be collected directly by the Riksbank, see International banking statistics | Sveriges Riksbank

See the published statistics

Statistics published before 2023 can be found at Statistics Sweden:
Financial Market Statistics (scb.se)

As of the 1st quarter of 2023 the statistics can be found at the Riksbank:
International banking statistics | Sveriges Riksbank.

Bank of International Settlements (BIS) also publishes the Swedish statistics together with statistics from other reporting countries. Publication takes place no longer than 17 weeks after the end of the reference period: 
BIS International Banking Statistics.