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Character table for C5h point group

E C5 (C5)2 (C5)3 (C5)4 σh S5 (S5)7 (S5)3 (S5)9 linear,
rotations
quadratic
A' 1 1 1 1 1 1 1 1 1 1 Rz x2+y2, z2
E'1 1
1
e
e*
e2
e2*
e2*
e2
e*
e
1
1
e
e*
e2
e2*
e2*
e2
e*
e
x+iy
x-iy
E'2 1
1
e2
e2*
e*
e
e
e*
e2*
e2
1
1
e2
e2*
e*
e
e
e*
e2*
e2
(x2-y2, xy)
A'' 1 1 1 1 1 -1 -1 -1 -1 -1 z
E''1 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)
E''2 1
1
e2
e2*
e*
e
e
e*
e2*
e2
-1
-1
-e2
-e2*
-e*
-e
-e
-e*
-e2*
-e2

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