I added some social icons to my header but they appear now right above my logo on the left side of the page. I would like to add them on the right side of the page, if possible under the header contacts (phone, email) I already added before. There is a possibility to change the header contacts position in the theme options (right or left), but I can’t see an option to change the position of the social icons.

Thank you for your help.

You can’t change the position, other than left/right unless you override your header.php template in your Child theme and simply place them within the same section as the logo. Otherwise they are always in the subheader section above the logo.