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C6 point group
Abelian, 4(6) irreducible representations
Subgroups: C2, C3

Character table
E C6 C3 C2 (C3)2 (C6)5 linear,
rotations
quadratic
A 1 1 1 1 1 1 z, Rz x2+y2, z2
B 1 -1 1 -1 1 -1
E1 1
1
e
e*
-e*
-e
-1
-1
-e
-e*
e*
e
x+iy; Rx+iRy
x-iy; Rx-iRy
(xz, yz)
E2 1
1
-e*
-e
-e
-e*
1
1
-e*
-e
-e
-e*
(x2-y2, xy)

Product table
 ABE1E2
AABE1E2
BBAE2E1
E1E1E22A+E22B+E1
E2E2E12B+E12A+E2

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