PA
Header for Sn and Cn
Ss Header for Additional Symmetry
OPA C2 collinear with Cn
Sh
C2
numCns C3 collinear with Cn
Sv
C3
i
Sn collinear with Cn
Sd


All mirrors NOT counted as horizontal are called "dihedral" in the octahedron.
S4

C2pCn

S2n collinear with Cn
So
S6