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C5 point group
Abelian, 3(5) irreducible representations

Character table
E C5 (C5)2 (C5)3 (C5)4 linear,
rotations
quadratic
A 1 1 1 1 1 z, Rz x2+y2, z2
E1 1
1
e
e*
e2
e2*
e2*
e2
e*
e
x+iy, Rx+iRy
x-iy, Rx-iRy
(yz, xz)
E2 1
1
e2
e2*
e*
e
e
e*
e2*
e2
(x2-y2, xy)

Product table
 AE1E2
AAE1E2
E1E12A+E2E1+E2
E2E2E1+E22A+E1

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