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

Character table
E C5 (C5)2 (C5)3 (C5)4 i (S10)7 (S10)9 S10 (S10)3 linear,
rotations		 quadratic
Ag 1 1 1 1 1 1 1 1 1 1 Rz z2, x2+y2
E1g 1
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)
E2g 1
1		 e2
e2*		e*
e		e
e*		e2*
e2		 1
1		 +e2
e2* 		+e*
e+ 		+e
e* 		+e2*
e2 		(x2-y2, xy)
Au 1 1 1 1 1 -1 -1 -1 -1 -1 z
E1u 1
1		 e
e*		e2
e2*		e2*
e2		e*
e		 -1
-1		 -e
-e*		 -e2
-e2*		 -e2*
-e2 		-e*
e- 		x+iy
x-iy
E2u 1
1		 e2
e2*		e*
e		e
e*		e2*
e2		 -1
-1 		-e2
-e2*		 -e*
-e		 -e
-e* 		-e2*
-e2

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