  We calculate the superconformal indices of a class of six-dimensional ${\cal
N}=(1,0)$ superconformal field theories realized on M5-branes at
$\mathbb{C}^2/\mathbb{Z}_k$ singularity by using the method developed in
previous works of the authors and collaborators. We use the AdS/CFT
correspondence, and finite $N$ corrections are included as the contribution of
M2-branes wrapped on two-cycles in $S^4/\mathbb{Z}_k$. We confirm that the
indices are consistent with the expected flavor symmetries.
