  Recently, it was pointed out that soft masses of the supersymmetric gauge
theories with extra dimensions tends to a flavor conserving point, which is a
desirable scenario in gravity mediation models. We point out that in 6D we must
consider the anomaly free condition in addition to the condition on the
asymptotic freedom. From this, we find $E_6$, $E_7$ and $E_8$ are natural
candidates in 6D. There is no SU(N) model, but there exist two SO(10) models
and SO(2n) models(one each for each $n\ge 6$) satisfying these conditions. In 5
dimensions, there is no such condition on anomaly freedom, but the softening
may not be enough.
