The development of delay-constrained applications which require high data rates, ultra-low latency, and high reliability pushed future communication technologies towards using short codes. This necessitates studying the performance of large-scale networks under short codes. Works in the literature that study large-scale uplink (UL) networks rely on the classical Shannon coding theory which assumes long codes and vanishing frame error probability, which is imprecise for short codes. Thus, this paper studies the performance of a large-scale UL network in the finite blocklength regime (FBR), under two power control schemes to mitigate the effect of interference: truncated channel inversion power control and channel inversion power control with maximum power transmission. The average coding rate, outage probability, and reliability of this network are derived in the FBR. Numerical results study the effect of network parameters and also show that the classical coding theory overestimates the average coding rate and imprecisely characterizes the outage probability and the reliability in the FBR.