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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=C4xC4:C4

Direct product G=NxQ with N=C5 and Q=C4xC4:C4
dρLabelID
C4:C4xC20320C4:C4xC20320,879

Semidirect products G=N:Q with N=C5 and Q=C4xC4:C4
extensionφ:Q→Aut NdρLabelID
C5:1(C4xC4:C4) = C4xC4:F5φ: C4xC4:C4/C42 → C4 ⊆ Aut C580C5:1(C4xC4:C4)320,1025
C5:2(C4xC4:C4) = C4:C4xF5φ: C4xC4:C4/C4:C4 → C4 ⊆ Aut C580C5:2(C4xC4:C4)320,1048
C5:3(C4xC4:C4) = Dic5:2C42φ: C4xC4:C4/C2.C42 → C2 ⊆ Aut C5320C5:3(C4xC4:C4)320,276
C5:4(C4xC4:C4) = C4xC10.D4φ: C4xC4:C4/C2xC42 → C2 ⊆ Aut C5320C5:4(C4xC4:C4)320,558
C5:5(C4xC4:C4) = C4xC4:Dic5φ: C4xC4:C4/C2xC42 → C2 ⊆ Aut C5320C5:5(C4xC4:C4)320,561
C5:6(C4xC4:C4) = C4:C4xDic5φ: C4xC4:C4/C2xC4:C4 → C2 ⊆ Aut C5320C5:6(C4xC4:C4)320,602


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