Mount the HDD as a users group

Hello,
how to mount a disk in a frame with a hot plug as a group of users and not root? What should I change in the system?

What is on the disk? Partitioned or not? File system type(s)?

I guess I made a mistake somewhere or I was helped by the actualization today. At least for the NTFS disk in the Akasa M51 frame, folders are already created under the users group. I couldn’t save linux distra on it from Opera. You can delete this thread. Sorry. Thanks for your interest.