Table 2.

$C_{3v}\downarrow C_3/C_s$ subduction

$C_{3v}$	$C_3$	$C_s$
$A_1$	A	$A^{\prime }$
$A_2$	A	$A^{\prime \prime }$
E	$e_1+e_2$	$A^{\prime }+A^{\prime \prime }$

Symmetry species of irreducible representations when lowering symmetry from $C_{3v}$ to $C_3$ and $C_s$