  We analyze the behavior of several renormalization group functions at
infrared fixed points for $SU(N)$ gauge theories with fermions in the
fundamental and two-indexed representations. This includes the beta function of
the gauge coupling, the anomalous dimension of the gauge parameter and the
anomalous dimension of the mass. The scheme in which the analysis is performed
is the minimal momentum subtraction scheme through third loop order. Due to the
fact that scheme dependence is inevitable once the perturbation theory is
truncated we compare to previous identical studies done in the minimal
subtraction scheme and the modified regularization invariant scheme. We find
only mild to moderate scheme dependence.
