Why do the Gallifreyans use the Swastika insignia on their clothing?

The Day of The Doctor features a sequence where the Doctor(s) decide whether or not to use the Moment to destroy Gallifrey, thus ending the Time War.

During this decision there are a number of overlay sequences which show the various citizens of Gallifrey taking cover from the war.

Some of the people within this sequence seem to have a Swastika insignia on their clothing:

It may just be a costume quirk, but it seems bizarre that such a loaded piece of iconography would be associated to the Time Lords by accident.

Is there a precedent, or reason for this in any of the Doctor Who timeline?

Possibly in the Gallifrey radio series, perhaps?

I know the symbol comes from a very different culture and has alternative etymology, but to modern audience the Swastika is synonymous with the Nazi Party first and foremost, and the program makers must be aware that this is the case...