Table 3.4.2.7

Janovec, V.; Přívratská

doi:10.1107/97809553602060000645

International
Tables for
Crystallography
Volume D
Physical properties of crystals
Edited by A. Authier

pdf | chapter contents | chapter index | related articles

International Tables for Crystallography (2006). Vol. D. ch. 3.4, pp. 463-467

Table 3.4.2.7

V. Janovec^a ^* and J. Přívratská^b

^a Department of Physics, Technical University of Liberec, Hálkova 6, 461 17 Liberec 1, Czech Republic, and ^bDepartment of Mathematics and Didactics of Mathematics, Technical University of Liberec, Hálkova 6, 461 17 Liberec 1, Czech Republic
Correspondence e-mail: janovec@fzu.cz

Table 3.4.2.7 | top | pdf |
Group–subgroup symmetry descents $[G \supset F_1]$

G : point-group symmetry of parent phase; [F_1] : point-group symmetry of single-domain state $[{\bf S}_1]$ ; $[\Gamma_{\eta} ]$ : representation of G; $[N_{G}(F_1)]$ : normalizer of [F_1] in G; $[K_{1j}]$ : twinning groups; n: number of principal single-domain states; [d_F] : number of principal domain states with the same symmetry; [n_e] : number of ferroelectric single-domain states; [n_a] : number of ferroelastic single-domain states.

G		$[\Gamma_{\eta}]$	$[N_{G}(F_1)]$	$[K_{1j}]$	n
$[ {\bar {\bf 1}}]$	1		$[\bar1]$	$[\bar1^{\star}]$	2	2	2	1
$[{\bf 2}_{\bi u}]$ ^†	1	B		$[2_u^\star]$	2	2	2	2
$[{\bi m_u}]$ ^†	1	$[A{^\prime}{^\prime}]$		$[m_u^\star]$	2	2	2	2
$[{\bf 2}_{\bi u}/{\bi m_u} ]$ ^†				$[2_u^\star/m_u]$	2	2	2	1
				$[2_u/m_u^\star]$	2	2	2	1
	$[\bar 1 ]$			$[2_u^\star/m_u^\star]$	2	2	0	2
	1	Reducible		$[m_u^{\star}]$ , $[ 2_u^{\star}]$ , $[\bar 1^{\star}]$	4	4	4	2
$[{\bf 2}_{\bi x}{\bf 2}_{\bi y}{\bf 2}_{\bi z} ]$		$[B_{1g} ]$		$[2_x^\star2_y^\star2_z ]$	2	2	2	2
		$[B_{3g} ]$		$[2_x2_y^\star2_z^\star ]$	2	2	2	2
		$[B_{2g} ]$		$[2_x^\star2_y2_z^\star]$	2	2	2	2
	1	Reducible		$[2_z^{\star}]$ , $[2_x^{\star}]$ , $[2_y^{\star}]$	4	4	4	4
$[{\bi m_xm_y}{\bf 2}_{\bi z} ]$				$[m_xm_y^{\star}2_z^{\star}]$	2	2	2	2
				$[m_x^{\star}m_y2_z^{\star}]$	2	2	2	2
				$[m_x^{\star}m_y^{\star}2_z]$	2	2	1	2
	1	Reducible		$[m_x^{\star}]$ , $[m_y^{\star}]$ , $[2_z^{\star} ]$	4	2	4	4
$[{\bi m_xm_ym_z}]$		$[B_{1u} ]$		$[m_xm_ym_z^\star]$	2	2	2	1
		$[B_{3u} ]$		$[m_x^{\star}m_ym_z]$	2	2	2	1
		$[B_{2u} ]$		$[m_xm_y^{\star}m_z]$	2	2	2	1
		$[A_{1u} ]$		$[m_x^{\star}m_y^{\star}m_z^{\star}]$	2	2	0	1
		$[B_{1g} ]$		$[m_x^{\star}m_y^{\star}m_z ]$	2	2	0	2
		$[B_{3g} ]$		$[m_xm_y^{\star}m_z^{\star}]$	2	2	0	2
		$[B_{2g} ]$		$[m_x^{\star}m_ym_z^{\star}]$	2	2	0	2
		Reducible		$[2_x^{\star}m_y^{\star}m_z]$ , $[m_x^{\star}2_y^{\star}m_z]$ , $[2_z^{\star}/m_z]$	4	4	4	2
		Reducible		$[m_xm_y^{\star}2_z^{\star}]$ , $[m_x2_y^{\star}m_z^{\star}]$ , $[2_x^{\star}/m_x]$	4	4	4	2
		Reducible		$[m_x^{\star}m_y2_z^{\star}]$ , $[2_x^{\star}m_ym_z^{\star}]$ , $[2_y^{\star}/m_y]$	4	4	4	2
		Reducible		$[m_x^{\star}m_y^{\star}2_z]$ , $[2_x^{\star}2_y^{\star}2_z]$ , $[2_z/m_z^{\star}]$	4	4	2	2
		Reducible		$[2_xm_y^{\star}m_z^{\star}]$ , $[2_x2_y^{\star}2_z^{\star}]$ , $[2_x/m_x^{\star}]$	4	4	2	2
		Reducible		$[m_x^{\star}2_ym_z^{\star}]$ , $[2_x^{\star}2_y2_z^{\star}]$ , $[2_y/m_y^{\star}]$	4	4	2	2
	$[\bar 1]$	Reducible		$[2_z^{\star}/m_z^{\star}]$ , $[2_x^{\star}/m_x^{\star} ]$ , $[2_y^{\star}/m_y^{\star}]$	4	4	0	4
	1	Reducible		$[m_z^{\star}]$ , $[m_x^{\star}]$ , $[m_y^{\star}]$ , $[2_z^{\star}]$ , $[2_x^{\star}]$ , $[2_y^{\star} ]$ , $[\bar 1^{\star}]$	8	8	8	4
$[{\bf 4}_{\bi z} ]$		B		$[4_z^{\star} ]$	2	2	1	2
$[{\bf 4}_{\bi z} ]$	1	$[^1E\oplus ^2E]$		$[4_z, 2_z^{\star}]$	4	4	4	4
$[{\bar {\bf 4}}_{\bi z} ]$		B	$[\bar4_z ]$	$[\bar 4_z^{\star}]$	2	2	2	2
$[{\bar {\bf 4}}_{\bi z} ]$	1	$[^1E\oplus ^2E ]$	$[\bar4_z ]$	$[\bar 4_z,]$ $[2_z^{\star}]$	4	2	4	4
$[{\bf 4}_{\bi z}/{\bi m_z} ]$	$[\bar4_z]$			$[4_z^{\star}/m_z^{\star} ]$	2	2	0	1
				$[4_z/m_z^{\star} ]$	2	2	2	1
				$[4_z^{\star}/m_z ]$	2	2	0	2
		$[^1E_u \oplus ^2E_u]$		, $[2_z^{\star}/m_z]$	4	4	4	2
		Reducible		$[\bar 4_z^{\star}]$ , $[4_z^{\star} ]$ , $[2_z/m_z^{\star}]$	4	4	2	2
	$[\bar 1]$	$[^1E_g \oplus ^2E_g ]$		, $[2_z^{\star}/m_z^{\star} ]$	4	4	0	4
	1	Reducible		$[\bar4_z]$ , , $[m_z^{\star} ]$ , $[2_z^{\star}]$ , $[\bar1^{\star}]$	8	8	8	4
$[{\bf 4}_{\bi z}{\bf 2}_{\bi x}{\bf 2}_{\bi xy} ]$			$[4_z2_x2_{xy}]$	$[4_z2_x^{\star}2_{xy}^{\star}]$	2	2	2	1
	$[2_{x\bar{y}}2_{xy}2_z]$		$[4_z2_x2_{xy}]$	$[4_z^{\star}2_x^{\star}2_{xy}]$	2	2	0	2
			$[4_z2_x2_{xy} ]$	$[4_z^{\star}2_x2_{xy}^{\star}]$	2	2	0	2
	$[2_{xy}]$ $[(2_{x\bar{y}})]$	E	$[2_{x\bar{y}}2_{xy}2_z ]$	$[4_z2_x2_{xy}]$ , $[2_{x\bar{y}}^{\star}2_{xy}2_z^{\star} ]$	4	2	2	2
		Reducible	$[4_z2_x2_{xy}]$	$[4_z^{\star}]$ , $[2_x^{\star}2_y^{\star}2_z ]$ , $[2_{x\bar{y}}^{\star}2_{xy}^{\star}2_z]$	4	4	2	2
		E	$[2_{x\bar{y}}2_{xy}2_z]$	$[4_z2_x2_{xy}]$ , $[2_x2_y^{\star}2_z^{\star} ]$	4	2	2	2
	1	E	$[4_z2_x2_{xy}]$	, $[2_z^{\star}]$ , $[2_x^{\star}(2)]$ , $[2_{xy}^{\star}(2)]$	8	8	8	8
$[{\bf 4}_{\bi z}{\bi m}_{\bi x}{\bi m}_{\bi xy} ]$			$[4_zm_xm_{xy}]$	$[4_zm_x^{\star}m_{xy}^{\star} ]$	2	2	1	1
	$[m_{x\bar{y}}m_{xy}2_z]$		$[4_zm_xm_{xy} ]$	$[4_z^{\star}m_x^{\star}m_{xy} ]$	2	2	1	2
			$[4_zm_xm_{xy} ]$	$[4_z^{\star}m_xm_{xy}^{\star} ]$	2	2	1	2
	$[m_{xy}]$ $[(m_{x\bar{y}})]$	E	$[m_{x\bar{y}}m_{xy}2_z]$	$[4_zm_xm_{xy}]$ , $[m_{x\bar{y}}^{\star}m_{xy}2_z^{\star} ]$	4	2	4	4
		E		$[4_zm_xm_{xy}]$ , $[m_xm_y^{\star}2_z^{\star} ]$	4	2	4	4
		Reducible	$[4_zm_xm_{xy} ]$	$[4_z^{\star}]$ , $[m_x^{\star}m_y^{\star}2_z ]$ , $[m_{x\bar{y}}^{\star}m_{xy}^{\star}2_z]$	4	4	2	2
	1	E	$[4_zm_xm_{xy} ]$	, $[m_x^{\star}(2)]$ , $[m_{xy}^{\star}(2)]$ , $[2_z^{\star}]$	8	8	8	8
$[{\bar {\bf 4}}_{\bi z}{\bf 2}_{\bi x}{\bi m_{xy}} ]$	$[\bar4_z]$		$[\bar4_z2_xm_{xy}]$	$[\bar4_z2_x^{\star}m_{xy}^{\star}]$	2	2	0	1
	$[m_{x\bar{y}}m_{xy}2_z]$		$[\bar4_z2_xm_{xy}]$	$[\bar4_z^{\star}2_x^{\star}m_{xy}]$	2	2	2	2
			$[\bar4_z2_xm_{xy}]$	$[\bar4_z^{\star}2_xm_{xy}^{\star}]$	2	2	0	2
	$[m_{xy}]$ $[(m_{x\bar{y}})]$	E	$[m_{x\bar{y}}m_{xy}2_z]$	$[\bar4_z2_xm_{xy}]$ , $[m_{x\bar{y}}^{\star}m_{xy}2_z^{\star} ]$	4	2	4	4
		Reducible	$[\bar4_z2_xm_{xy}]$	$[\bar4_z^{\star}]$ , $[m_{x\bar{y}}^{\star}m_{xy}^{\star}2_z ]$ , $[2_x^{\star}2_y^{\star}2_z]$	4	4	2	2
		E		$[\bar4_z2_xm_{xy}]$ , $[2_x2_y^{\star}2_z^{\star} ]$	4	2	4	4
	1	E	$[\bar4_z2_xm_{xy}]$	$[\bar4_z]$ , $[m_{xy}^{\star}(2)]$ , $[2_z^{\star}]$ , $[2_x^{\star}(2)]$	8	8	8	8
$[\bar4_zm_x2_{xy}]$	$[\bar4_z]$		$[\bar4_zm_x2_{xy}]$	$[\bar4_zm_x^{\star}2_{xy}^{\star}]$	2	2	0	1
			$[\bar4_zm_x2_{xy}]$	$[\bar4_z^{\star}m_x2_{xy}^{\star}]$	2	2	2	2
	$[2_{x\bar{y}}2_{xy}2_z]$		$[\bar4_zm_x2_{xy}]$	$[\bar4_z^{\star}m_x^{\star}2_{xy}]$	2	2	0	2
		E		$[\bar4_zm_x2_{xy}]$ , $[m_xm_y^{\star}2_z^{\star} ]$	4	2	4	4
	$[2_{xy}]$ $[(2_{x\bar{y}})]$	E	$[2_{x\bar{y}}2_{xy}2_z]$	$[\bar4_zm_x2_{xy}]$ , $[2_{x\bar{y}}^{\star}2_{xy}2_z^{\star} ]$	4	2	4	4
		Reducible	$[\bar4_zm_x2_{xy}]$	$[\bar4_z^{\star} ]$ , $[m_x^{\star}m_y^{\star}2_z ]$ , $[2_{x\bar{y}}^{\star}2_{xy}^{\star}2_z]$	4	4	2	2
	1	E	$[\bar4_zm_x2_{xy}]$	$[\bar4_z]$ , $[m_x^{\star}(2)]$ , $[2_{xy}^{\star}(2)]$ , $[2_z^{\star}]$	8	8	8	8
$[{\bf 4}_{\bi z}/{\bi m_zm_xm_{xy}} ]$	$[\bar4_zm_x2_{xy}]$	$[B_{2u}]$	$[4_z/m_zm_xm_{xy} ]$	$[4_z^{\star}/m_z^{\star}m_xm_{xy}^{\star} ]$	2	2	0	1
	$[\bar4_z2_xm_{xy} ]$	$[B_{1u} ]$	$[4_z/m_zm_xm_{xy} ]$	$[4_z^{\star}/m_z^{\star}m_x^{\star}m_{xy} ]$	2	2	0	1
	$[4_zm_xm_{xy} ]$	$[A_{2u} ]$	$[4_z/m_zm_xm_{xy} ]$	$[4_z^{\star}/m_z^{\star}m_xm_{xy}]$	2	2	2	1
	$[4_z2_x2_{xy} ]$	$[A_{1u} ]$	$[4_z/m_zm_xm_{xy} ]$	$[4_z^{\star}/m_z^{\star}m_x^{\star}m_{xy} ]$	2	2	0	1
		$[A_{2g} ]$	$[4_z/m_zm_xm_{xy} ]$	$[4_z^{\star}/m_zm_x^{\star}m_{xy}^{\star} ]$	2	2	0	1
	$[\bar4_z ]$	Reducible	$[4_z/m_zm_xm_{xy} ]$	$[\bar4_z2_x^{\star}m_{xy}^{\star}]$ , $[\bar4_zm_x^{\star}2_{xy}^{\star}]$ , $[4_z^{\star}/m_z^{\star}]$	4	4	0	1
		Reducible	$[4_z/m_zm_xm_{xy} ]$	$[4_zm_x^{\star}m_{xy}^{\star} ]$ , $[4_z2_x^{\star}2_{xy}^{\star}]$ , $[4_z/m_z^{\star}]$	4	4	2	1
	$[m_{x\bar{y}}m_{xy}m_z ]$	$[B_{2g} ]$	$[4_z/m_zm_xm_{xy}]$	$[4_z^{\star}/m_zm_x^{\star}m_{xy}]$	2	2	0	2
		$[B_{1g} ]$		$[4_z^{\star}/m_zm_xm_{xy}^{\star}]$	2	2	0	2
	$[2_{x\bar{y}}m_{xy}m_z]$ $[(m_{x\bar{y}}2_{xy}m_z)]$		$[m_{x\bar{y}}m_{xy}m_z ]$	$[4_z/m_zm_xm_{xy}]$ , $[m_{x\bar{y}}^{\star}m_{xy}m_z ]$	4	2	4	2
				$[4_z/m_zm_xm_{xy}]$ , $[m_x^{\star}m_ym_z ]$	4	2	4	2
	$[m_{x\bar{y}}m_{xy}2_z ]$	Reducible	$[4_z/m_zm_xm_{xy}]$	$[\bar4_z^{\star}2_x^{\star}m_{xy}]$ , $[4_z^{\star}m_x^{\star}m_{xy}]$ , $[m_{x\bar{y}}m_{xy}m_z^{\star} ]$	4	4	2	2
		Reducible	$[4_z/m_zm_xm_{xy}]$	$[\bar4_z^{\star}m_x2_{xy}^{\star}]$ , $[4_z^{\star}m_xm_{xy}^{\star}]$ , $[m_xm_ym_z^{\star} ]$	4	4	2	2
	$[2_{x\bar{y}}2_{xy}2_z ]$	Reducible	$[4_z/m_zm_xm_{xy}]$	$[\bar4_z^{\star}m_x^{\star}2_{xy}]$ , $[4_z^{\star}2_x^{\star}2_{xy}]$ , $[m_{x\bar{y}}^{\star}m_{xy}^{\star}m_z^{\star} ]$	4	4	0	2
		Reducible	$[4_z/m_zm_xm_{xy} ]$	$[\bar4_z^{\star}2_xm_{xy}^{\star}]$ , $[4_z^{\star}2_x2_{xy}^{\star}]$ , $[m_x^{\star}m_y^{\star}m_z^{\star}]$	4	4	0	2
	$[2_{xy}/m_{xy}]$ $[(2_{x\bar{y}}/m_{x\bar{y}})]$		$[m_{x\bar{y}}m_{xy}m_z ]$	$[4_z/m_zm_xm_{xy}]$ , $[m_{x\bar{y}}^{\star}m_{xy}m_z^{\star} ]$	4	2	0	4
		Reducible	$[4_z/m_zm_xm_{xy}]$	$[4_z^{\star}/m_z]$ , $[m_{x\bar{y}}^{\star}m_{xy}^{\star}m_z ]$ , $[m_x^{\star}m_y^{\star}m_z ]$	4	4	0	4
				$[4_z/m_zm_xm_{xy}]$ , $[m_xm_y^{\star}m_z^{\star} ]$	4	2	0	4
	$[m_{xy} (m_{x \bar y})]$	Reducible	$[m_{x\bar{y}}m_{xy}m_z ]$	$[\bar4_z2_xm_{xy}]$ , $[4_zm_xm_{xy} ]$ , $[2_{x\bar{y}}^{\star}m_{xy}m_z^{\star}]$ , $[m_{x\bar{y}}^{\star}m_{xy}2_z^{\star} ]$ , $[2_{xy}^{\star}/m_{xy}]$	8	4	8	4
		Reducible	$[4_z/m_zm_xm_{xy} ]$	, $[2_{x\bar{y}}^{\star}m_{xy}^{\star}m_z(2) ]$ , $[2_x^{\star}m_y^{\star}m_z(2)]$ , $[2_z^{\star}/m_z ]$	8	8	8	4
		Reducible		$[\bar4_zm_x2_{xy}]$ , $[4_zm_xm_{xy} ]$ , $[m_xm_y^{\star}2_z^{\star}]$ , $[m_x2_y^{\star}m_z^{\star}]$ , $[2_x^{\star}/m_x]$	8	4	8	4
	$[2_{xy}]$ $[(2_{x\bar{y}})]$	Reducible	$[m_{x\bar{y}}m_{xy}m_z ]$	$[\bar4_zm_x2_{xy}]$ , $[4_z2_x2_{xy} ]$ , $[m_{x\bar{y}}^{\star}2_{xy}m_z^{\star}]$ , $[2_{x\bar{y}}^{\star}2_{xy}2_z^{\star} ]$ , $[2_{xy}/m_{xy}^{\star}]$	8	4	8	4
		Reducible	$[4_z/m_zm_xm_{xy}]$	$[\bar4_z^{\star}]$ , $[4_z^{\star} ]$ , $[m_x^{\star}m_y^{\star}2_z]$ , $[m_{x\bar{y}}^{\star}m_{xy}^{\star}2_z ]$ , $[2_x^{\star}2_y^{\star}2_z]$ , $[2_{x\bar{y}}^{\star}2_{xy}^{\star}2_z ]$ , $[2_z/m_z^{\star}]$	8	8	2	4
		Reducible		$[\bar4_z2_xm_{xy}]$ , $[4_z2_x2_{xy} ]$ , $[2_xm_y^{\star}m_z^{\star}]$ , $[2_x2_y^{\star}2_z^{\star}]$ , $[2_x/m_x^{\star}]$	8	4	4	4
	$[\bar1]$		$[4_z/m_zm_xm_{xy} ]$	, $[2_{xy}^{\star}/m_{xy}^{\star}(2) ]$ , $[2_z^{\star}/m_z^{\star}]$ , $[2_x^{\star}/m_x^{\star}(2)]$	8	8	0	8
	1	Reducible	$[4_z/m_zm_xm_{xy}]$	$[\bar4_z]$ , , $[m_{xy}^{\star}(2) ]$ , $[m_z^{\star}]$ , $[m_x^{\star}(2)]$ , $[2_{xy}^{\star}(2) ]$ , $[2_z^{\star}]$ , $[2_x^{\star}(2)]$ , $[\bar1^{\star}]$	16	16	16	8
$[{\bf 3}_{\bi z} ]$	1	E			3	3	3	3
$[{\bar {\bf 3}}_{\bi z} ]$			$[\bar3_z ]$	$[\bar 3_z^{\star} ]$	2	2	2	1
	$[\bar 1 ]$		$[\bar3_z ]$	$[\bar 3_z]$	3	3	0	3
	1		$[\bar3_z ]$	$[\bar 3_z]$ , , $[\bar 1^{\star} ]$	6	6	6	3
$[{\bf 3}_{\bi z}{\bf 2}_{\bi x} ]$				$[3_z2_x^{\star}]$	2	2	2	1
	$[(2_{x^{\prime}}]$ , $[2_{x^{{\prime}{\prime}}})]$	E			3	1	3	3
	1	E		$[3_z, 2_x^{\star}(3) ]$	6	6	6	6
				$[3_z2_y^{\star}]$	2	2	2	1
	$[(2_{y^{\prime}}]$ , $[2_{y^{{\prime}{\prime}}})]$	E			3	1	3	3
	1	E		, $[2_y^{\star}(3)]$	6	6	6	6
$[{\bf 3}_{\bi z}{\bi m_x} ]$				$[3_zm_x^{\star}]$	2	2	1	1
	$[(m_{x^\prime}]$ , $[m_{x{^\prime}{^\prime}})]$	E			3	1	3	3
	1	E		, $[m_x^{\star}(3)]$	6	6	6	6
				$[3_zm_y^{\star}]$	2	2	1	1
	$[(m_{y{^\prime}}]$ , $[m_{y{^\prime}{^\prime}})]$	E			3	1	3	3
	1	E		, $[m_y^{\star}(3)]$	6	6	6	6
$[{\bar {\bf 3}}_{\bi z}{\bi m_x} ]$		$[A_{2u} ]$	$[\bar3_zm_x ]$	$[\bar3_z^{\star}m_x ]$	2	2	2	1
		$[A_{1u} ]$	$[\bar3_zm_x ]$	$[\bar3_z^{\star}m_x^{\star}]$	2	2	0	2
	$[\bar 3_z ]$	$[A_{2g} ]$	$[\bar3_zm_x ]$	$[\bar3_zm_x^{\star} ]$	2	2	0	1
		Reducible	$[\bar3_zm_x]$	$[3_zm_x^{\star}]$ , $[3_z2_x^{\star} ]$ , $[\bar 3_z^{\star} ]$	4	4	2	1
	$[(2_{x^\prime}/m_{x^\prime} ]$ , $[2_{x{^\prime}{^\prime}}/m_{x{^\prime}{^\prime}})]$			$[\bar3_zm_x ]$	3	1	0	3
	$[(m_{x{^\prime}}]$ , $[m_{x{^\prime}{^\prime}})]$			$[\bar3_zm_x]$ , , $[2_x^{\star}/m_x(3)]$	6	2	6	3
	$[(2_{x{^\prime}}]$ , $[2_{x{^\prime}{^\prime}})]$			$[\bar3_zm_x]$ , , $[2_x/m_x^{\star}(3) ]$	6	2	6	3
	$[\bar 1]$		$[\bar3_zm_x]$	$[\bar 3_z]$ , $[2_x^{\star}/m_x^{\star}(3) ]$	6	6	0	6
	1		$[\bar3_zm_x]$	$[\bar 3_z]$ , , $[m_x^{\star}(3) ]$ , $[2_x^{\star}(3)]$ , $[\bar 1^{\star} ]$	12	12	12	6
$[\bar3_zm_y]$		$[A_{2u}]$	$[\bar3_zm_y]$	$[\bar3_z^{\star}m_y]$	2	2	2	1
		$[A_{1u}]$	$[\bar3_zm_y]$	$[\bar3_z^{\star}m_y^{\star}]$	2	2	0	1
	$[\bar 3_z]$	$[A_{2g}]$	$[\bar3_zm_y]$	$[\bar3_zm_y^{\star}]$	2	2	0	1
		Reducible	$[\bar3_zm_y]$	$[3_zm_y^{\star}]$ , $[3_z2_y^{\star} ]$ , $[\bar 3_z^{\star}]$	4	4	0	1
	$[(2_{y{^\prime}}/m_{y{^\prime}} ]$ , $[2_{y{^\prime}{^\prime}}/m_{y{^\prime}{^\prime}})]$			$[\bar3_zm_y ]$	3	1	2	1
	$[(m_{y{^\prime}}]$ , $[m_{y{^\prime}{^\prime}})]$			$[\bar3_zm_y]$ , , $[2_y^{\star}/m_y(3)]$	6	2	0	3
	$[(2_{y{^\prime}}]$ , $[2_{y{^\prime}{^\prime}}) ]$			$[\bar3_zm_y]$ , , $[2_y/m_y^{\star}(3) ]$	6	2	6	3
	$[\bar 1]$		$[\bar3_zm_y]$	$[\bar 3_z]$ , $[2_y^{\star}/m_y^{\star}(3) ]$	6	6	0	3
	1		$[\bar3_zm_y]$	$[\bar 3_z]$ , , $[m_y^{\star}(3) ]$ , $[2_y^{\star}(3)]$ , $[\bar 1^{\star}]$	12	12	12	6
$[{\bf 6}_{\bi z} ]$		B		$[6_z^{\star}]$	2	2	1	1
					3	3	1	3
	1			, , $[2_z^{\star} ]$	6	6	6	6
$[{\bar{\bf 6}}_{\bi z} ]$		$[A{^\prime}{^\prime}]$	$[\bar6_z]$	$[\bar 6_z^{\star}]$	2	2	2	1
		$[E{^\prime}]$	$[\bar6_z]$	$[\bar 6_z]$	3	2	3	3
	1	$[E{^\prime}{^\prime}]$	$[\bar6_z]$	$[\bar 6_z ]$ , , $[m_z^{\star} ]$	6	6	6	6
$[{\bf 6}_{\bi z}/{\bi m_z} ]$	$[\bar 6_z]$			$[6_z^{\star}/m_z]$	2	2	0	1
				$[6_z/m_z^{\star}]$	2	2	2	1
	$[\bar 3_z ]$			$[6_z^{\star}/m_z^{\star} ]$	2	2	0	1
		Reducible		$[\bar 6_z^{\star}]$ , $[6_z^{\star} ]$ , $[\bar 3_z^{\star}]$	4	4	2	1
		$[E_{2g} ]$			3	3	0	3
		$[E_{1u} ]$		, $[\bar 6_z]$ , $[2_z^{\star}/m_z ]$	6	6	6	3
		$[E_{2u} ]$		, , $[2_z/m_z^{\star} ]$	6	6	2	3
	$[\bar 1 ]$	$[E_{1g} ]$		, $[\bar 3_z]$ , $[2_z^{\star}/m_z^{\star} ]$	6	6	0	6
	1	Reducible		$[\bar 6_z]$ , , $[\bar 3_z ]$ , , $[m_z^{\star}]$ , $[2_z^{\star}]$ , $[\bar 1^{\star} ]$	12	12	12	6
$[{\bf 6}_{\bi z}{\bf 2}_{\bi x}{\bf 2}_{\bi y}]$				$[6_z2_x^{\star}2_y^{\star}]$	2	2	2	1
				$[6_z^{\star}2_x2_y^{\star}]$	2	2	0	1
				$[6_z^{\star}2_x^{\star}2_y]$	2	2	0	1
		Reducible		$[6_z^{\star}]$ , $[3_z2_x^{\star} ]$ , $[3_z2_y^{\star} ]$	4	4	2	1
	$[(2_{x{^\prime}}2_{y{^\prime}}2_z ]$ , $[2_{x{^\prime}{^\prime}}2_{y{^\prime}{^\prime}}2_z)]$				3	1	0	3
				, $[2_x^{\star}2_y^{\star}2_z(3) ]$	6	6	2	6
	$[(2_{x{^\prime}}]$ , $[2_{x{^\prime}{^\prime}})]$			, , $[2_x2_y^{\star}2_z^{\star}]$	6	2	6	6
	$[(2_{y{^\prime}}]$ , $[2_{y{^\prime}{^\prime}})]$			, , $[2_x^{\star}2_y2_z^{\star} ]$	6	2	6	6
	1			, , $[2_z^{\star} ]$ , $[2_x^{\star}(3)]$ , $[2_y^{\star}(3)]$	12	12	12	12
$[{\bf 6}_{\bi z}{\bi m}_{\bi x}{\bi m}_{\bi y} ]$				$[6_zm_x^{\star}m_y^{\star} ]$	2	2	1	1
				$[6_z^{\star}m_xm_y^{\star}]$	2	2	1	1
				$[6_z^{\star}m_x^{\star}m_y]$	2	2	1	1
		Reducible		$[6_z^{\star}]$ , $[3_zm_x^{\star} ]$ , $[3_zm_y^{\star}]$	4	4	1	1
	$[(m_{x{^\prime}}m_{y{^\prime}}2_z ]$ , $[m_{x{^\prime}{^\prime}}m_{y{^\prime}{^\prime}}2_z)]$				3	1	1	3
	$[(m_{x{^\prime}}]$ , $[m_{x{^\prime}{^\prime}})]$			, , $[m_xm_y^{\star}2_z^{\star}]$	6	2	6	6
	$[(m_{y{^\prime}}]$ , $[m_{y{^\prime}{^\prime}})]$			, , $[m_x^{\star}m_y2_z^{\star}]$	6	2	6	6
				, $[m_x^{\star}m_y^{\star}2_z(3) ]$	6	6	1	6
	1			, , $[2_z^{\star} ]$ , $[m_x^{\star}(3)]$ , $[m_y^{\star}(3)]$	12	12	12	12
$[{\bar {\bf 6}}_{\bi z}{\bi m_x}{\bf 2}_{\bi y} ]$	$[\bar 6_z ]$	$[A_2{^\prime} ]$	$[\bar6_zm_x2_y]$	$[\bar6_zm_x^{\star}2_y^{\star}]$	2	2	0	1
		$[A_2{^\prime}{^\prime}]$	$[\bar6_zm_x2_y]$	$[\bar6_z^{\star}m_x2_y^{\star} ]$	2	2	2	1
		$[A_1{^\prime}]$	$[\bar6_zm_x2_y]$	$[\bar6_z^{\star}m_x^{\star}2_y ]$	2	2	0	1
		Reducible	$[\bar6_zm_x2_y]$	$[\bar 6_z^{\star} ]$ , $[3_zm_x^{\star} ]$ , $[3_z2_y^{\star}]$	4	4	2	1
	$[(m_{x{^\prime}}2_{y{^\prime}}m_z ]$ , $[m_{x{^\prime}{^\prime}}2_{y{^\prime}{^\prime}}m_z)]$	$[E{^\prime}]$		$[\bar6_zm_x2_y]$	3	1	3	3
		$[E{^\prime}]$	$[\bar6_zm_x2_y]$	$[\bar6_z, m_x^{\star}2_y^{\star}m_z(3) ]$	6	6	6	6
	$[(m_{x{^\prime}}]$ , $[m_{x{^\prime}{^\prime}})]$	$[E{^\prime}{^\prime}]$		$[\bar6_zm_x2_y]$ , , $[m_x2_y^{\star}m_z^{\star}]$	6	2	6	6
	$[(2_{y{^\prime}}]$ , $[2_{y{^\prime}{^\prime}})]$	$[E{^\prime}{^\prime}]$		$[\bar6_zm_x2_y]$ , , $[m_x^{\star}2_ym_z^{\star}]$	6	2	3	6
	1	$[E{^\prime}{^\prime}]$	$[\bar6_zm_x2_y]$	$[\bar 6_z]$ , , $[m_z^{\star} ]$ , $[m_x^{\star}(3)]$ , $[2_y^{\star}(3)]$	12	12	12	12
$[\bar 6_z2_xm_y ]$	$[\bar 6_z ]$	$[A_2{^\prime} ]$	$[\bar6_z2_xm_y]$	$[\bar6_z2_x^{\star}m_y^{\star} ]$	2	2	0	1
		$[A_2{^\prime} ]$	$[\bar6_z2_xm_y]$	$[\bar6_z^{\star}2_x^{\star}m_y]$	2	2	2	1
		$[A_1{^\prime}{^\prime}]$	$[\bar6_z2_xm_y ]$	$[\bar6_z^{\star}2_xm_y^{\star} ]$	2	2	0	1
		Reducible	$[\bar6_z2_xm_y ]$	$[\bar 6_z^{\star}]$ , $[3_zm_y^{\star} ]$ , $[3_z2_x^{\star}]$	4	4	2	1
	$[(2_{x{^\prime}}m_{y{^\prime}}m_z ]$ , $[2_{x{^\prime}{^\prime}}m_{y{^\prime}{^\prime}}m_z)]$	$[E{^\prime}]$		$[\bar6_z2_xm_y]$	3	1	3	3
		$[E{^\prime}]$	$[\bar6_z2_xm_y ]$	$[\bar6_z]$ , $[2_x^{\star}m_y^{\star}m_z(3) ]$	6	6	6	6
	$[(m_{y{^\prime}}]$ , $[m_{y{^\prime}{^\prime}})]$	$[E{^\prime}{^\prime}]$		$[\bar 6_z2_xm_y]$ , , $[2_x^{\star}m_ym_z^{\star}]$	6	2	6	6
	$[(2_{x{^\prime}}]$ , $[2_{x{^\prime}{^\prime}})]$	$[E{^\prime}{^\prime}]$		$[\bar 6_z2_xm_y]$ , , $[2_xm_y^{\star}m_z^{\star}]$	6	2	3	6
	1	$[E{^\prime}{^\prime}]$	$[\bar6_z2_xm_y ]$	$[\bar 6_z]$ , , $[m_z^{\star} ]$ , $[m_y^{\star}(3)]$ , $[2_x^{\star}(3)]$	12	12	12	12
$[{\bf 6}_{\bi z}/{\bi m_zm_xm_y} ]$	$[\bar 6_zm_x2_y]$	$[B_{2u}]$		$[6_z^{\star}/m_zm_xm_y^{\star}]$	2	2	0	1
	$[\bar 6_z2_xm_y]$	$[B_{1u} ]$		$[6_z^{\star}/m_zm_x^{\star}m_y]$	2	2	0	1
		$[A_{2u} ]$		$[6_z/m_z^{\star}m_xm_y ]$	2	2	2	1
		$[A_{1u} ]$		$[6_z/m_z^{\star}m_x^{\star}m_y^{\star} ]$	2	2	0	1
		$[A_{2g} ]$		$[6_z/m_zm_x^{\star}m_y^{\star}]$	2	2	0	1
	$[\bar 6_z]$	Reducible		$[\bar 6_zm_x^{\star}2_y^{\star}]$ , $[\bar6_z2_x^{\star}m_y^{\star} ]$ , $[6_z^{\star}/m_z ]$	4	4	0	1
		Reducible		$[6_zm_x^{\star}m_y^{\star}]$ , $[6_z2_x^{\star}2_y^{\star}]$ , $[6_z/m_z^{\star}]$	4	4	2	1
	$[\bar 3_zm_x]$	$[B_{1g} ]$		$[6_z^{\star}/m_z^{\star}m_xm_y^{\star} ]$	2	2	0	1
	$[\bar 3_zm_y]$	$[B_{2g}]$		$[6_z^{\star}/m_z^{\star}m_x^{\star}m_y ]$	2	2	0	1
		Reducible		$[\bar 6_z^{\star}m_x2_y^{\star}]$ , $[6_z^{\star}m_xm_y^{\star}]$ , $[\bar 3_z^{\star}m_x ]$	4	4	2	1
		Reducible		$[\bar 6_z^{\star}2_x^{\star}m_y]$ , $[6_z^{\star}m_x^{\star}m_y]$ , $[\bar 3_z^{\star}m_y]$	4	4	2	1
		Reducible		$[\bar 6_z^{\star}2_xm_y^{\star}]$ , $[6_z^{\star}2_x2_y^{\star}]$ , $[\bar 3_z^{\star}m_x^{\star} ]$	4	4	0	1
		Reducible		$[\bar 6_z^{\star}m_x^{\star}2_y]$ , $[6_z^{\star}2_x^{\star}2_y]$ , $[\bar 3_z^{\star}m_y^{\star}]$	4	4	0	1
	$[\bar 3_z]$	Reducible		$[6_z^{\star}/m_z^{\star}]$ , $[\bar 3_zm_x^{\star} ]$ , $[\bar 3_zm_y^{\star}]$	4	4	0	1
		Reducible		$[\bar 6_z^{\star}]$ , $[6_z^{\star} ]$ , $[3_zm_x^{\star}]$ , $[3_zm_y^{\star}]$ , $[3_z2_x^{\star} ]$ , $[3_z2_y^{\star}]$ , $[\bar 3_z^{\star}]$	8	8	2	1
	$[(m_{x{^\prime}}m_{y{^\prime}}m_z ]$ , $[m_{x{^\prime}{^\prime}}m_{y{^\prime}{^\prime}}m_z)]$	$[E_{2g} ]$			3	1	0	3
	$[(m_{x{^\prime}}m_{y{^\prime}}2_z ]$ , $[m_{x{^\prime}{^\prime}}m_{y{^\prime}{^\prime}}2_z)]$	$[E_{2u}]$		, , $[m_xm_ym_z^{\star}]$	6	2	2	3
	$[(2_{x{^\prime}}m_{y{^\prime}}m_z ]$ , $[2_{x{^\prime}{^\prime}}m_{y{^\prime}{^\prime}}m_z)]$	$[E_{1u} ]$		, $[\bar 6_z2_xm_y ]$ , $[m_x^{\star}m_ym_z]$	6	2	6	3
	$[(m_{x{^\prime}}2_{y{^\prime}}m_z ]$ , $[m_{x{^\prime}{^\prime}}2_{y{^\prime}{^\prime}}m_z)]$	$[E_{1u}]$		, $[\bar 6_zm_x2_y ]$ , $[m_xm_y^{\star}m_z]$	6	2	6	3
	$[(2_{x{^\prime}}2_{y{^\prime}}2_z ]$ , $[2_{x{^\prime}{^\prime}}2_{y{^\prime}{^\prime}}2_z)]$	$[E_{2u}]$		, , $[m_x^{\star}m_y^{\star}m_z^{\star}]$	6	6	0	3
		$[E_{2g}]$		, $[m_x^{\star}m_y^{\star}m_z(3) ]$	6	6	0	6
	$[(2_{x{^\prime}}/m_{x{^\prime}} ]$ , $[2_{x{^\prime}{^\prime}}/m_{x{^\prime}{^\prime}})]$	$[E_{1g}]$		, $[\bar 3_zm_x]$ , $[m_xm_y^{\star}m_z^{\star} ]$	6	2	0	6
	$[(2_{y{^\prime}}/m_{y{^\prime}} ]$ , $[2_{y{^\prime}{^\prime}}/m_{y{^\prime}{^\prime}})]$	$[E_{1g}]$		, $[\bar 3m_y]$ , $[m_x^{\star}m_ym_z^{\star} ]$	6	2	0	6
		$[E_{1u}]$		, $[\bar 6_z]$ , $[2_x^{\star}m_y^{\star}m_z]$ , $[m_x^{\star}2_y^{\star}m_z]$ , $[2_z^{\star}/m_z ]$	12	12	12	6
	$[(m_{x{^\prime}}]$ , $[m_{x{^\prime}{^\prime}})]$	Reducible		$[\bar 6_zm_x2_y]$ , , $[\bar 3_zm_x]$ , , $[m_xm_y^{\star}2_z^{\star}]$ , $[m_x2_y^{\star}m_z^{\star}]$ , $[ 2_x^{\star}/m_x]$	12	4	12	6
	$[(m_{y{^\prime}}]$ , $[m_{y{^\prime}{^\prime}})]$	Reducible		$[\bar 6_z2_xm_y]$ , , $[\bar 3_zm_y]$ , , $[m_x^{\star}m_y2_z^{\star}]$ , $[2_x^{\star}m_ym_z^{\star}]$ , $[2_y^{\star}/m_y]$	12	4	12	6
		$[E_{2u}]$		, , $[m_x^{\star}m_y^{\star}2_z (3) ]$ , $[2_x^{\star}2_y^{\star}2_z(3)]$ , $[2_z/m_z^{\star}]$	12	12	2	6
	$[(2_{x{^\prime}}]$ , $[2_{x{^\prime}{^\prime}})]$	Reducible		$[\bar 6_z2_xm_y]$ , , $[\bar 3_zm_x]$ , , $[2_xm_y^{\star}m_z^{\star}]$ , $[2_x2_y^{\star}2_z^{\star}]$ , $[2_x/m_x^{\star}]$	12	4	6	6
	$[(2_{y{^\prime}}]$ , $[2_{y{^\prime}{^\prime}})]$	Reducible		$[\bar 6_zm_x2_y]$ , , $[\bar 3_zm_y]$ , , $[m_x^{\star}2_ym_z^{\star}]$ , $[2_x^{\star}2_y2_z^{\star}]$ , $[2_y/m_y^{\star}]$	12	4	6	6
	$[\bar 1 ]$	$[E_{1g}]$		, $[\bar 3_z]$ , $[2_z^{\star}/m_z^{\star}]$ , $[2_x^{\star}/m_x^{\star}(3)]$ , $[2_y^{\star}/m_y^{\star}(3) ]$	12	12	0	12
	1	Reducible		$[\bar 6_z]$ , , $[\bar 3_z ]$ , , $[m_z^{\star}]$ , $[m_x^{\star}(3)]$ , $[m_y^{\star}(3) ]$ , $[2_z^{\star}]$ , $[2_x^{\star}(3)]$ , $[2_y^{\star}(3)]$ , $[\bar 1^{\star}]$	24	24	24	12
$[{\bf 23}]$	, ,	T		23	4	1	4	4
		E	23	23	3	3	0	3
	,	T		, $[2_x^{\star}2_y^{\star}2_z ]$	6	2	6	6
	1	T		, $[2_z^{\star}(3)]$	12	12	12	12
$[{\bi m}{\bar {\bf 3}} ]$	23		$[m\bar3]$	$[m^{\star}\bar3^{\star}]$	2	2	0	1
	$[\bar 3_p]$ $[(\bar 3_q]$ , $[\bar3_r]$ , $[\bar 3_s) ]$		$[\bar3_p]$	$[m\bar3]$	4	1	0	4
	, ,		$[\bar3_p]$	$[m\bar3, 23 ]$	8	2	8	4
			$[m\bar3 ]$	$[m\bar3]$	3	3	0	3
	,			$[m\bar3, m_xm_ym_z^{\star}]$	6	2	6	3
			$[m\bar3]$	$[m\bar3]$ , , $[m_x^{\star}m_y^{\star}m_z^{\star} ]$	6	6	0	3
	,			$[m\bar3]$ , $[m_x^{\star}m_y^{\star}m_z ]$	6	2	0	6
	,	Reducible		$[m\bar3]$ , $[2_x^{\star}m_y^{\star}m_z ]$ , $[m_x^{\star}2_y^{\star}m_z]$ , $[2_z^{\star}/m_z]$	12	4	12	6
	,	Reducible		$[m\bar3]$ , , $[m_x^{\star}m_y^{\star}2_z ]$ , $[2_x^{\star}2_y^{\star}2_z]$ , $[2_z/m_z^{\star}]$	12	4	6	6
	$[\bar 1]$		$[m\bar3]$	$[\bar3_p(4)]$ , $[2_z^{\star}/m_z^{\star}(3) ]$	12	12	0	12
	1		$[m\bar3]$	$[\bar3_p(4)]$ , , $[m_z^{\star}(3)]$ , $[2_z^{\star}(3)]$ , $[\bar1^{\star}]$	24	24	24	12
$[{\bf 432}]$	23		432	$[4^{\star}32^{\star}]$	2	2	0	1
	$[3_p2_{x\bar{y}}]$ $[(3_q2_{x\bar{y}} ]$ , $[ 3_r2_{xy}]$ , $[3_s2_{xy})]$		$[3_p2_{x\bar{y}} ]$	432	4	1	0	4
	, ,		$[3_p2_{x\bar{y}} ]$	, $[3_p2_{x\bar{y}}^{\star} ]$	8	2	8	4
	$[4_z2_x2_{xy}]$ $[(4_x2_y2_{yz}]$ , $[4_y2_z2_{xz})]$	E	$[4_z2_x2_{xy}]$	432	3	1	0	3
	,		$[4_z2_x2_{xy}]$	, $[4_z2_x^{\star}2_{xy}^{\star} ]$	6	2	6	3
		E	432	, $[4_z^{\star}2_x2_{xy}^{\star} ]$	6	6	0	6
	$[2_{x\bar{y}}2_{xy}2_z ]$ $[(2_{y\bar{z}}2_{yz}2_x ]$ , $[2_{z\bar{x}}2_{zx}2_y)]$		$[4_z2_x2_{xy}]$	, $[4_z^{\star}2_x^{\star}2_{xy} ]$	6	2	0	6
	,	Reducible	$[4_z2_x2_{xy}]$	23, $[4_y2_z2_{xy}]$ , $[4_z^{\star} ]$ , $[2_{x\bar{y}}^{\star}2_{xy}^{\star}2_z]$ , $[2_x^{\star}2_y^{\star}2_z ]$	12	4	6	12
	$[2_{xy}]$ $[(2_{yz}]$ , $[2_{zx} ]$ , $[2_{x\bar{y}}]$ , $[2_{y\bar{z}}]$ , $[2_{z\bar{x}})]$	,	$[2_{x\bar{y}}2_{xy}2_z ]$	, $[3_r2_{xy}]$ , $[3_s2_{xy} ]$ , $[4_z2_x2_{xy}]$ , $[2_{x\bar{y}}2_{xy}^{\star}2_z^{\star}]$	12	2	12	12
	1	,	432	, , $[2_z^{\star}(3) ]$ , $[2_{xy}^{\star}(6)]$	24	24	24	24
$[{\bar {\bf 4}}{\bf 3}{\bi m}]$	23		$[\bar43m]$	$[\bar4^{\star}3m^{\star} ]$	2	2	0	1
	$[3_pm_{x\bar{y}}]$ $[(3_qm_{x\bar{y}} ]$ , $[3_rm_{xy}]$ , $[3_sm_{xy})]$		$[3_pm_{x\bar{y}} ]$	$[\bar43m ]$	4	1	4	4
	, ,		$[3_pm_{x\bar{y}} ]$	$[\bar43m]$ , , $[3_pm_{x\bar{y}}^{\star} ]$	8	2	4	4
	$[\bar4_z2_xm_{xy}]$ $[(\bar4_x2_ym_{yz} ]$ , $[\bar4_y2_zm_{zx})]$	E	$[\bar4_z2_xm_{x\bar{y}}]$	$[\bar43m]$	3	1	0	3
	$[\bar4_z]$ $[(\bar4_x, \bar4_y)]$		$[\bar4_z2_xm_{x\bar{y}}]$	$[\bar43m]$ , $[\bar4_z2_x^{\star}m_{xy}^{\star} ]$	6	2	0	3
	$[m_{x\bar{y}}m_{xy}2_z]$ $[(m_{y\bar{z}}m_{yz}2_x ]$ , $[m_{z\bar{x}}m_{zx}2_y)]$		$[\bar4_z2_xm_{x\bar{y}}]$	$[\bar43m]$ , $[\bar4_z^{\star}2_x^{\star}m_{xy} ]$	6	2	6	6
		E	$[\bar43m ]$	$[23, \bar4_z^{\star}2_xm_{xy}^{\star} ]$	6	6	0	6
	$[m_{xy}]$ $[(m_{yz}]$ , $[m_{zx} ]$ , $[m_{x\bar{y}}]$ , $[m_{y\bar{z}}]$ , $[m_{z\bar{x}})]$		$[m_{x\bar{y}}m_{xy}2_z]$	$[\bar43m]$ , $[3_rm_{xy}]$ , $[3_sm_{xy}]$ , $[\bar4_z2_xm_{xy}]$ , $[m_{x\bar{y}}^{\star}m_{xy}2_z^{\star} ]$	12	2	12	12
	,	Reducible	$[\bar4_z2_xm_{xy} ]$	23, $[\bar4_z^{\star}]$ , $[4_z^{\star} ]$ , $[m_{x\bar{y}}^{\star}m_{xy}^{\star}2_z]$ , $[2_x^{\star}2_y^{\star}2_z ]$	12	4	6	12
	1	,	$[\bar43m ]$	, $[\bar4_z(3)]$ , $[m_{xy}^{\star}(6)]$ , $[2_z^{\star}(3)]$	24	24	24	24
$[{\bi m}{\bar {\bf 3}}{\bi m} ]$	$[\bar43m]$	$[A_{2u}]$	$[m\bar3m]$	$[m^{\star}\bar3^{\star}m]$	2	2	0	1
	432	$[A_{1u}]$	$[m\bar3m]$	$[m^{\star}\bar3^{\star}m^{\star}]$	2	2	0	1
	$[m\bar3 ]$	$[A_{2g}]$	$[m\bar3m]$	$[m\bar3m^{\star}]$	2	2	0	1
	23	Reducible	$[m\bar3m]$	$[\bar4^{\star}3m^{\star}]$ , $[4^{\star}32^{\star} ]$ , $[m_z^{\star}\bar3_p ]$	4	4	0	1
	$[\bar 3_pm_{x\bar{y}}]$ $[(\bar 3_qm_{x\bar{y}} ]$ , $[\bar3_rm_{xy}]$ , $[\bar 3_sm_{xy})]$	$[T_{2g}]$	$[\bar3_pm_{x\bar{y}}]$	$[m\bar3m]$	4	1	0	4
	$[3_pm_{x\bar{y}}]$ $[(3_qm_{x\bar{y}} ]$ , $[3_rm_{xy}]$ , $[3_sm_{xy})]$	$[T_{1u}]$	$[\bar3_pm_{x\bar{y}} ]$	$[m\bar3m ]$ , $[\bar43m]$ , $[\bar3_p^{\star}m_{x\bar{y}}]$	8	2	8	4
	$[3_p2_{x\bar{y}}]$ $[(3_q2_{x\bar{y}} ]$ , $[3_r2_{xy}]$ , $[3_s2_{xy})]$	$[T_{2u}]$	$[\bar3_pm_{x\bar{y}} ]$	$[m\bar3m]$ , , $[\bar3_p^{\star}m_{x\bar{y}} ]$	8	2	0	4
	$[\bar 3_p]$ $[(\bar 3_q]$ , $[\bar3_r]$ , $[\bar 3_s)]$	$[T_{1g}]$	$[\bar3_pm_{x\bar{y}}]$	$[m\bar3m]$ , $[m\bar3]$ , $[\bar3_pm_{x\bar{y}}^{\star} ]$	8	2	0	4
	, ,	Reducible	$[\bar3_pm_{x\bar{y}}]$	$[\bar43m]$ , , $[m\bar3 ]$ , , $[3_pm_{x\bar{y}}^{\star}]$ , $[3_p2_{x\bar{y}}^{\star} ]$ , $[\bar3_p^{\star}]$	16	4	8	4
	$[4_z/m_zm_xm_{xy}]$ $[(4_x/m_xm_ym_{yz} ]$ , $[4_y/m_ym_zm_{zx})]$		$[4_z/m_zm_xm_{xy}]$	$[m\bar3m]$	3	1	0	3
	$[\bar4_z2_xm_{xy}]$ $[(\bar4_x2_ym_{yz} ]$ , $[\bar4_y2_zm_{zx})]$		$[4_z/m_zm_xm_{xy}]$	$[m\bar3m]$ , $[\bar43m]$ , $[4_z^{\star}/m_z^{\star}m_x^{\star}m_{xy}]$	6	2	0	3
	$[\bar4_zm_x2_{xy}]$ $[(\bar4_xm_y2_{yz} ]$ , $[\bar4_ym_z2_{zx})]$	$[T_{2u} ]$	$[4_z/m_zm_xm_{xy}]$	$[m\bar3m]$ , $[4_z^{\star}/m_z^{\star}m_xm_{xy}^{\star} ]$	6	2	0	3
	$[4_zm_xm_{xy}]$ $[(4_xm_ym_{yz}]$ , $[4_ym_zm_{zx})]$	$[T_{1u} ]$	$[4_z/m_zm_xm_{xy}]$	$[m\bar3m]$ , $[4_z/m_z^{\star}m_xm_{xy} ]$	6	2	6	3
	$[4_z2_x2_{xy}]$ $[(4_x2_y2_{yz}]$ , $[4_y2_z2_{zx})]$		$[4_z/m_zm_xm_{xy} ]$	$[m\bar3m]$ , , $[4_z/m_z^{\star}m_x^{\star}m_{xy}^{\star} ]$	6	2	0	3
	,	$[T_{1g} ]$	$[4_z/m_zm_xm_{xy}]$	$[m\bar3m]$ , $[4_z/m_zm_x^{\star}m_{xy}^{\star} ]$	6	2	0	3
	$[\bar4_z]$ $[(\bar4_x]$ , $[\bar4_y)]$	Reducible	$[4_z/m_zm_xm_{xy}]$	$[m\bar3m]$ , $[\bar43m]$ , $[\bar4_z2_x^{\star}m_{xy}^{\star}]$ , $[\bar4_zm_x^{\star}2_{xy}^{\star} ]$ , $[4_z^{\star}/m_z^{\star}]$	12	4	0	3
	,	Reducible	$[4_z/m_zm_xm_{xy}]$	$[m\bar3m]$ , , $[4_zm_x^{\star}m_{xy}^{\star} ]$ , $[4_z2_x^{\star}2_{xy}^{\star}]$ , $[4_z/m_z^{\star}]$	12	4	6	3
			$[m\bar3m ]$	$[m\bar3]$ , $[4_z^{\star}/m_zm_xm_{xy}^{\star} ]$	6	6	0	6
	$[m_{x\bar{y}}m_{xy}m_z]$ $[(m_{y\bar{z}}m_{yz}m_x ]$ , $[m_{z\bar{x}}m_{zx}m_y)]$	$[T_{2g} ]$	$[4_z/m_zm_xm_{xy}]$	$[m\bar3m ]$ , $[4_z^{\star}/m_zm_xm_{xy}^{\star} ]$	6	2	0	6
	,	Reducible	$[4_z/m_zm_xm_{xy}]$	$[m\bar3]$ , $[4_y/m_ym_zm_{zx}]$ , $[\bar4_z^{\star}m_x2_{xy}^{\star}]$ , $[4_z^{\star}m_xm_{xy}^{\star}]$ , $[ m_xm_ym_z^{\star}]$	12	4	6	6
	$[m_{x\bar{y}}m_{xy}2_z]$ $[(m_{y\bar{z}}m_{yz}2_x ]$ , $[m_{z\bar{x}}m_{zx}2_y)]$	Reducible	$[4_z/m_zm_xm_{xy}]$	$[m\bar3m]$ , $[\bar43m]$ , $[\bar4_z^{\star}2_x^{\star}m_{xy}]$ , $[4_z^{\star}m_x^{\star}m_{xy}]$ , $[m_{x\bar{y}}m_{xy}m_z^{\star}]$	12	4	6	6
	$[m_{x\bar{y}}2_{xy}m_z]$ $[(m_{y\bar{z}}2_{yz}m_x ]$ , $[m_{z\bar{x}}2_{zx}m_y]$ , $[ 2_{x\bar{y}}m_{xy}m_z]$ , $[2_{y\bar{z}}m_{yz}m_x]$ , $[2_{z\bar{x}}m_{zx}m_y)]$	$[T_{1u}]$ , $[T_{2u}]$	$[m_{x\bar{y}}m_{xy}m_z ]$	$[m\bar3m(m_{zx})]$ , $[m\bar3m(2_{zx}) ]$ , $[4_z/m_zm_xm_{xy}]$ , $[ m_{x\bar{y}}m_{xy}^{\star}m_z]$	12	2	12	6
			$[m\bar3m ]$	$[m\bar3]$ , , $[\bar4_z^{\star}2_xm_{xy}^{\star} ]$ , $[4_z^{\star}2_x2^{\star}_{xy}]$ , $[m_x^{\star}m_y^{\star}m_z^{\star} ]$	12	12	0	6
	$[2_{x\bar{y}}2_{xy}2_z]$ $[(2_{y\bar{z}}2_{yz}2_x ]$ , $[2_{z\bar{x}}2_{zx}2_y)]$		$[4_z/m_zm_xm_{xy}]$	$[m\bar3m]$ , , $[\bar4_zm_x^{\star}2_{xy} ]$ , $[4^{\star}_z2^{\star}_x2_{xy}]$ , $[m_{x\bar{y}}^{\star}m_{xy}^{\star}m_z^{\star} ]$	12	4	0	6
		Reducible	$[4_z/m_zm_xm_{x\bar{y}}]$	$[m\bar3]$ , $[ 4_y/m_ym_zm_{zx}]$ , $[4_z^{\star}/m_z]$ , $[m_x^{\star}m_y^{\star}m_z]$ , $[m_{x\bar{y}}^{\star}m_{xy}^{\star}m_z ]$	12	4	0	12
	$[2_{xy}/m_{xy}]$ $[(2_{yz}/m_{yz} ]$ , $[2_{zx}/m_{zx}]$ , $[2_{x\bar{y}}/m_{x\bar{y}}]$ , $[2_{y\bar{z}}/m_{y\bar{z}} ]$ , $[2_{z\bar{x}}/m_{z\bar{x}})]$	$[T_{1g}]$ , $[T_{2g}]$	$[m_{x\bar{y}}m_{xy}m_z]$	$[m\bar3m]$ , $[\bar3_rm_{xy} (2)]$ , $[4_z/m_zm_xm_{xy}]$ , $[m_{x\bar{y}}^{\star}m_{xy}m_z^{\star}]$	12	2	0	12
	,	$[T_{1u}]$ , $[T_{2u} ]$	$[4_z/m_zm_xm_{x\bar{y}} ]$	$[m\bar3]$ , $[\bar4_xm_z2_{yz} ]$ , $[4_ym_zm_{zx}]$ , , $[2_x^{\star}m_y^{\star}m_z (2) ]$ , $[m_{x\bar{y}}^{\star}2_{xy}^{\star}m_z(2)]$ , $[2_z^{\star}/m_z ]$	24	8	24	12
	$[m_{xy}]$ $[(m_{yz} ]$ , $[m_{zx}]$ , $[m_{x\bar{y}}]$ , $[m_{y\bar{z}}]$ , $[m_{z\bar{x}})]$	$[T_{1u}]$	$[m_{x\bar{y}}m_{xy}m_z ]$	$[m\bar3m]$ , $[\bar43m ]$ , $[\bar4_z2_xm_{xy}]$ , $[4_zm_xm_{xy}]$ , $[\bar3_rm_{xy} ]$ , $[\bar3_sm_{xy}]$ , $[3_rm_{xy}]$ , $[3_sm_{xy}]$ , $[m_{x\bar{y}}^{\star}m_{xy}2_z^{\star} ]$ , $[2_{xy}^{\star}/m_{xy}]$	24	4	24	12
	,	Reducible	$[4_z/m_zm_xm_{x\bar{y}} ]$	$[m\bar3]$ , , $[\bar4_y2_zm_{zx}]$ , $[4_y2_z2_{zx}]$ , $[\bar4_z^{\star}]$ , $[4_z^{\star}]$ , $[m_x^{\star}m_y^{\star}2_z]$ , $[m_{x\bar{y}}^{\star}m_{xy}^{\star}2_z ]$ , $[2_x^{\star}2_y^{\star}2_z ]$ , $[2_{x\bar{y}}^{\star}2_{xy}^{\star}2_z ]$ , $[2_z/m_z^{\star}]$	24	8	6	12
	$[2_{xy}]$ $[(2_{yz} ]$ , $[ 2_{zx}]$ , $[2_{x\bar{y}}]$ , $[2_{y\bar{z}}]$ , $[2_{z\bar{x}})]$	$[T_{2u}]$	$[m_{x\bar{y}}m_{xy}m_z ]$	$[m\bar3m]$ , , $[\bar3_rm_{xy}]$ , $[\bar3_sm_{xy}]$ , $[3_r2_{xy}]$ , $[3_s2_{xy}]$ , $[\bar4_zm_x2_{xy}]$ , $[4_z2_x2_{xy}]$ , $[m_{x\bar{y}}^{\star}2_{xy}m_z^{\star} ]$ , $[2_{x\bar{y}}^{\star}2_{xy}2_z^{\star}]$ , $[2_{xy}/m_{xy}^{\star} ]$	24	4	12	12
	$[\bar 1]$	$[T_{1g}]$ , $[T_{2g} ]$	$[m\bar3m ]$	$[\bar3_p(4)]$ , , $[2_z^{\star}/m_z^{\star}(3)]$ , $[2_{xy}^{\star}/m_{xy}^{\star}(6) ]$	24	24	0	24
	1	$[T_{1u}]$ , $[T_{2u} ]$	$[m\bar3m ]$	$[\bar3_p(4)]$ , $[\bar4_z(3)]$ , , $[m_z^{\star}(3)]$ , $[m_{xy}^{\star}(6) ]$ , $[2_z^{\star}(3)]$ , $[2_{xy}^{\star}(6)]$ , $[ \bar1^{\star} ]$	48	48	48	24