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! Item !! Value
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| [[degrees of irreducible representations]] over a [[splitting field]] || Case <math>q</math> odd: 1 (2 times), <math>q - 1</math> (<math>(q - 1)/2</math> times), <math>q</math> (2 times), <math>q + 1</math> (<math>(q - 3)/2</math> times), <br> Case <math>q</math> even: 1 (1 time), <math>q - 1</math> (<math>q/2</math> times), <math>q</math> (1 time), <math>q + 1</math> (<math>(q - 2)/2</math> times)
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| number of irreducible representations || Case <math>q</math> odd: <math>q + 2</math>, case <math>q</math> even: <math>q + 1</math><br>See [[number of irreducible representations equals number of conjugacy classes]], [[element structure of projective general linear group of degree two over a finite field#Conjugacy class structure]]
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