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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=C2xC4:C8

Direct product G=NxQ with N=C5 and Q=C2xC4:C8
dρLabelID
C10xC4:C8320C10xC4:C8320,923

Semidirect products G=N:Q with N=C5 and Q=C2xC4:C8
extensionφ:Q→Aut NdρLabelID
C5:1(C2xC4:C8) = C42.11F5φ: C2xC4:C8/C42 → C4 ⊆ Aut C5160C5:1(C2xC4:C8)320,1017
C5:2(C2xC4:C8) = C2xC20:C8φ: C2xC4:C8/C22xC4 → C4 ⊆ Aut C5320C5:2(C2xC4:C8)320,1085
C5:3(C2xC4:C8) = C2xDic5:C8φ: C2xC4:C8/C22xC4 → C4 ⊆ Aut C5320C5:3(C2xC4:C8)320,1090
C5:4(C2xC4:C8) = D5xC4:C8φ: C2xC4:C8/C4:C8 → C2 ⊆ Aut C5160C5:4(C2xC4:C8)320,459
C5:5(C2xC4:C8) = C2xC20:3C8φ: C2xC4:C8/C2xC42 → C2 ⊆ Aut C5320C5:5(C2xC4:C8)320,550
C5:6(C2xC4:C8) = C2xC20.8Q8φ: C2xC4:C8/C22xC8 → C2 ⊆ Aut C5320C5:6(C2xC4:C8)320,726


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