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Particular cases
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! <math>q</math> (field size) !! <math>p</math> (underlying prime, field characteristic) !! Case for <mahmath>q</math> !! Group <math>PGL(2,q)</math> !! Order of the group (<math>= q^3 - q</math>) !! Degrees of irreducible representations (ascending order) !! Number of irreducible representations (<math>= q + 1</math> if <math>q</math> even, <math>q + 2</math> if <math>q</math> odd) !! Linear representation theory page
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| 2 || 2 || even || [[symmetric group:S3]] ||6 || 1,1,2 || 3 || [[linear representation theory of symmetric group:S3]]
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