We discuss anomalies associated with outer automorphisms in gauge theories based on classical groups, namely charge conjugations for $SU(N)$ and parities $SO(2r)$. emphasize the inequivalence (yet related by a flavor transformation) between two versions of conjugation $SU(2k)$, $SO(2r)$, $E_6$ symmetries. The subgroups that commute are identified. Some can lead to paradox, which is resolved obs...