You can see the real sun is just off to the left.
Sun Dogs are sunlight refracted through ice crystals acting as miniature prisms.
Not a great photo (smartphone only) but hope you get a hint of the spectral colors, and also see the start of a big ring around the sun, which is hardly ever seen completely.
The photo does at least show why these are often called 'false suns'.
I'm planning to get a real camera.