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. 2017 Feb 2;9:8. doi: 10.1186/s13321-017-0193-3

Table 1.

$C_{3 v}$ permutations

$\hat{E}$	$(\hat{E}) ({\hat{C}}_{3}) ({\hat{C}}_{3}^{2}) (\hat{σ}) ({\hat{σ}}^{'}) ({\hat{σ}}^{''})$
${\hat{C}}_{3}$	$(\hat{E} {\hat{C}}_{3} {\hat{C}}_{3}^{2}) (\hat{σ} {\hat{σ}}^{'} {\hat{σ}}^{''})$
${\hat{C}}_{3}^{2}$	$(\hat{E} {\hat{C}}_{3}^{2} {\hat{C}}_{3}) (\hat{σ} {\hat{σ}}^{''} {\hat{σ}}^{'})$
$\hat{σ}$	$(\hat{E} \hat{σ}) ({\hat{C}}_{3} {\hat{σ}}^{''}) ({\hat{C}}_{3}^{2} {\hat{σ}}^{'})$
${\hat{σ}}^{'}$	$(\hat{E} {\hat{σ}}^{^{'}}) ({\hat{C}}_{3} \hat{σ}) ({\hat{C}}_{3}^{2} {\hat{σ}}^{''})$
${\hat{σ}}^{''}$	$(\hat{E} {\hat{σ}}^{''}) ({\hat{C}}_{3} {\hat{σ}}^{'}) ({\hat{C}}_{3}^{2} \hat{σ})$

Permutation cycles of $C_{3 v}$