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C2h point group
Abelian, 4 irreducible representations
Subgroups: Cs, Ci, C2

Character table
E C2 (z) i σh
linear,
rotations
quadratic
Ag 1 1 1 1 Rz x2, y2, z2, xy
Bg 1 -1 1 -1 Rx, Ry xz, yz
Au 1 1 -1 -1 z
Bu 1 -1 -1 1 x, y

Product table
 AgBgAuBu
AgAgBgAuBu
BgBgAgBuAu
AuAuBuAgBg
BuBuAuBgAg

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