In this study, we investigate the Bryant-Schneider group of right Cheban loops. The study started with establishing some results on the algebraic properties of right Cheban loop. Consequently, it is established that every right pseudo-automorphism of a right Cheban loop is an element of the Bryant-Schneider group. It is shown that the middle inner mapping $T_a$ is an automorphism of a right Cheban loop if and only if $a\in N_µ$ of the right Cheban loop. $R_a$ and $L_a$ are subsequently shown to be elements of the Bryant-Schneider group. The Crypto-automorphism group of right Cheban loop is investigated. A two-middle pseudo-automorphism group, the crypto-automorphism group and the Bryant-Scheider group of a loop are found to coincide.