I use Debian rather than RedHat Linux distributions. My best guess is that you can install the .rpm file from here:
  https://github.com/davidbannon/libqt5pas/releases
Given your hardware, I would suggest trying out MRIcroGL instead of MRIcon:
  https://github.com/rordenlab/MRIcroGL/re...
MRIcroGL uses OpenGL 2.1, which was released in 2006. As long as your computer supports OPenGL 2.1, I strongly suggest using MRIcroGL instead of MRIcron. MRIcroGL will leverage the dedicated hardware and 2048 cores of your graphics card.

I provide MRIcroGL for both GTK2 and QT5. Again, QT5 will require the libqt5pas library.