  We present and investigate a new class of quantum channels, what we call
`universal collective rotation channels', that includes the well-known class of
collective rotation channels as a special case. The fixed point set and noise
commutant coincide for a channel in this class. Computing the precise structure
of this C*-algebra is a core problem in a particular noiseless subsystem method
of quantum error correction. We prove that there is an abundance of noiseless
subsystems for every channel in this class and that Young tableaux
combinatorics can be used to explicitly compute these subsystems.
