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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=Q16:C4

Direct product G=NxQ with N=C5 and Q=Q16:C4
dρLabelID
C5xQ16:C4320C5xQ16:C4320,942

Semidirect products G=N:Q with N=C5 and Q=Q16:C4
extensionφ:Q→Aut NdρLabelID
C5:(Q16:C4) = Dic20:C4φ: Q16:C4/Q16 → C4 ⊆ Aut C5808-C5:(Q16:C4)320,1077
C5:2(Q16:C4) = Dic20:9C4φ: Q16:C4/C8:C4 → C2 ⊆ Aut C5320C5:2(Q16:C4)320,343
C5:3(Q16:C4) = C5:Q16:5C4φ: Q16:C4/Q8:C4 → C2 ⊆ Aut C5320C5:3(Q16:C4)320,416
C5:4(Q16:C4) = Dic20:15C4φ: Q16:C4/C4.Q8 → C2 ⊆ Aut C5320C5:4(Q16:C4)320,480
C5:5(Q16:C4) = C42.59D10φ: Q16:C4/C4xQ8 → C2 ⊆ Aut C5320C5:5(Q16:C4)320,657
C5:6(Q16:C4) = Q16:Dic5φ: Q16:C4/C2xQ16 → C2 ⊆ Aut C5320C5:6(Q16:C4)320,811


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