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D2 point group
Abelian, 4 irreducible representations
Subgroups: C2

Character table
E C2 (z) C2 (y) C2 (x) linear,
rotations
quadratic
A 1 1 1 1 x2, y2, z2
B1 1 1 -1 -1 z, Rz xy
B2 1 -1 1 -1 y, Ry xz
B3 1 -1 -1 1 x, Rx yz

Product table
 AB1B2B3
AAB1B2B3
B1B1AB3B2
B2B2B3AB1
B3B3B2B1A

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