  Enhancement of global symmetry and supersymmetry in the infrared is one of
the most intriguing phenomena in quantum field theory. We investigate such
phenomena in a large class of three dimensional superconformal field theories,
known as the S-fold SCFTs. Supersymmetric indices are computed for a number of
theories containing small rank gauge groups. It is found that indices of
several models exhibit enhancement of supersymmetry at the superconformal fixed
point in the infrared. Dualities between S-fold theories that have different
quiver descriptions are also analysed. We explore a new class of theories with
a discrete global symmetry, whose gauge symmetry in the quiver has a different
global structure from those that have been studied earlier.
