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Summary
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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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| [[quasirandom degree]] (minimum degree of nontrivial ireducible representation) || 1
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| [[maximum degree of irreducible representation]] || <math>q + 1</math>
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