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s10 - Point Group Symmetry Character Tables

S10 Point Group

Abelian, 6(10) irreducible representations
Subgroups of S10 point group: Ci, C5

Character table for S10 point group

EC5(C5)2(C5)3(C5)4i(S10)7(S10)9S10(S10)3linear,
rotations		quadratic
Ag1111111111Rzz2, x2+y2
E1g1
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)
E2g1
1		e2
e2*		e*
e		e
e*		e2*
e2		1
1		 +e2
e2* 		+e*
e+ 		+e
e* 		+e2*
e2 		(x2-y2, xy)
Au11111-1-1-1-1-1z
E1u1
1		e
e*		e2
e2*		e2*
e2		e*
e		-1
-1		 -e
-e*		 -e2
-e2*		 -e2*
-e2 		-e*
e- 		x+iy
x-iy
E2u1
1		e2
e2*		e*
e		e
e*		e2*
e2		 -1
-1 		-e2
-e2*		 -e*
-e		 -e
-e* 		-e2*
-e2
e = exp(2πi/5)


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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