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c5h - Point Group Symmetry Character Tables

C5h Point Group

Abelian, 6(10) irreducible representations
Subgroups of C5h point group: Cs, C5

Character table for C5h point group

EC5(C5)2(C5)3(C5)4σhS5(S5)7(S5)3(S5)9linear,
rotations		quadratic
A'1111111111Rzx2+y2, z2
E'11
1		e
e*		e2
e2*		e2*
e2		e*
e		1
1		e
e*		e2
e2*		e2*
e2		e*
e		x+iy
x-iy
E'21
1		e2
e2*		e*
e		e
e*		e2*
e2		1
1		e2
e2*		e*
e		e
e*		e2*
e2		(x2-y2, xy)
A''11111-1-1-1-1-1z
E''11
1		e
e*		e2
e2*		e2*
e2		e*
e		-1
-1		-e
-e*		-e2
-e2*		-e2*
-e2		-e*
-e		Rx+iRy
Rx-iRy		(xz, yz)
E''21
1		e2
e2*		e*
e		e
e*		e2*
e2		-1
-1		-e2
-e2*		-e*
-e		-e
-e*		-e2*
-e2
e = exp(2πi/5)

Product table for C5h point group

 A'E1'E2'A''E1''E2''
A'A'E1'E2'A''E1''E2''
E1'E1'2A'+E2'E1'+E2'E1''2A''+E2''E1''+E2''
E2'E2'E1'+E2'2A'+E1'E2''E1''+E2''2A''+E1''
A''A''E1''E2''A'E1'E2'
E1''E1''2A''+E2''E1''+E2''E1'2A'+E2'E1'+E2'
E2''E2''E1''+E2''2A''+E1''E2'E1'+E2'2A'+E1'

C1 Cs Ci
C2 C3 C4 C5 C6
C2v C3v C4v C5v C6v
C2h C3h C4h C5h C6h
D2 D3 D4 D5 D6
D2h D3h D4h D5h D6h
D2d D3d D4d D5d D6d
S4 S6 S8 S10
Td Oh Ih
C∞v D∞h

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