A part of the character table of a point group (of order 4) is given below.

  E X1 X2 X3
Γ1 1 1 1 1
Γ2 1 -1 1 -1
Γ3 1 -1 -1 1
Γ4 ? ? ? ?


The four characters of Γ4 are, respectively

1
1, 1, –1, –1
2
2, 0, 0, 1
3
1, i, i, 1 
4
1, –i, i, –1
5
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