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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=C2xC8:C4

Direct product G=NxQ with N=C5 and Q=C2xC8:C4
dρLabelID
C10xC8:C4320C10xC8:C4320,904

Semidirect products G=N:Q with N=C5 and Q=C2xC8:C4
extensionφ:Q→Aut NdρLabelID
C5:1(C2xC8:C4) = C42.5F5φ: C2xC8:C4/C42 → C4 ⊆ Aut C5160C5:1(C2xC8:C4)320,1014
C5:2(C2xC8:C4) = C2xC8:F5φ: C2xC8:C4/C2xC8 → C4 ⊆ Aut C580C5:2(C2xC8:C4)320,1055
C5:3(C2xC8:C4) = C2xC10.C42φ: C2xC8:C4/C22xC4 → C4 ⊆ Aut C5320C5:3(C2xC8:C4)320,1087
C5:4(C2xC8:C4) = D5xC8:C4φ: C2xC8:C4/C8:C4 → C2 ⊆ Aut C5160C5:4(C2xC8:C4)320,331
C5:5(C2xC8:C4) = C2xC42.D5φ: C2xC8:C4/C2xC42 → C2 ⊆ Aut C5320C5:5(C2xC8:C4)320,548
C5:6(C2xC8:C4) = C2xC40:8C4φ: C2xC8:C4/C22xC8 → C2 ⊆ Aut C5320C5:6(C2xC8:C4)320,727


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