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Cn
Dn
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Irr Reps
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Extensions 1→N→G→Q→1 with N=C5 and Q=Q8:Q8

Direct product G=NxQ with N=C5 and Q=Q8:Q8
dρLabelID
C5xQ8:Q8320C5xQ8:Q8320,976

Semidirect products G=N:Q with N=C5 and Q=Q8:Q8
extensionφ:Q→Aut NdρLabelID
C5:1(Q8:Q8) = Q8:Dic10φ: Q8:Q8/Q8:C4 → C2 ⊆ Aut C5320C5:1(Q8:Q8)320,418
C5:2(Q8:Q8) = Dic10:4Q8φ: Q8:Q8/C4:C8 → C2 ⊆ Aut C5320C5:2(Q8:Q8)320,478
C5:3(Q8:Q8) = Dic10:Q8φ: Q8:Q8/C4.Q8 → C2 ⊆ Aut C5320C5:3(Q8:Q8)320,481
C5:4(Q8:Q8) = C20.48SD16φ: Q8:Q8/C4xQ8 → C2 ⊆ Aut C5320C5:4(Q8:Q8)320,647
C5:5(Q8:Q8) = Dic10:6Q8φ: Q8:Q8/C4:Q8 → C2 ⊆ Aut C5320C5:5(Q8:Q8)320,721


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