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Particular cases
{| class="sortable" border="1"
! Group !! <math>p</math> !! <math>q</math> !! Order of the group !! Degrees of irreducible representations (ascending order) !! Number of irreducible representations !! Linear representation theory page
|-
| [[symmetric group:S3]] || 2 || 2 || 6 || 1,1,2 || 3 || [[linear representation theory of symmetric group:S3]]
|-
| [[symmetric group:S4]] || 3 || 3 || 24 || 1,1,2,3,3 || 5 || [[linear representation theory of symmetric group:S4]]
|-
| [[alternating group:A5]] || 2 || 4 || 60 || 1,3,3,4,5 || 5 || [[linear representation theory of alternating group:A5]]
|-
| [[symmetric group:S5]] || 5 || 5 || 120 || 1,4,4,5,5,6,6 || 7 || [[linear representation theory of symmetric group:S5]]
|-
| [[projective general linear group:PGL(2,7)]] || 7 || 7 || 336 || {{fillin}} || 9 || [[linear representation theory of projective general linear group:PGL(2,7)]]
|-
| [[special linear group:SL(2,8)]] || 2 || 8 || 504 || {{fillin}} || 9 || [[linear representation theory of special linear group:SL(2,8)]]
|-
| [[projective general linear group:PGL(2,9)]] || 3 || {{fillin}} || 9 || 720 || 11 || [[linear representation theory of projective general linear group:PGL(2,9)]]
|}
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