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Extensions 1→N→G→Q→1 with N=C5 and Q=C4:C8

Direct product G=NxQ with N=C5 and Q=C4:C8
dρLabelID
C5xC4:C8160C5xC4:C8160,55

Semidirect products G=N:Q with N=C5 and Q=C4:C8
extensionφ:Q→Aut NdρLabelID
C5:1(C4:C8) = C20:C8φ: C4:C8/C2xC4 → C4 ⊆ Aut C5160C5:1(C4:C8)160,76
C5:2(C4:C8) = Dic5:C8φ: C4:C8/C2xC4 → C4 ⊆ Aut C5160C5:2(C4:C8)160,79
C5:3(C4:C8) = C20:3C8φ: C4:C8/C42 → C2 ⊆ Aut C5160C5:3(C4:C8)160,11
C5:4(C4:C8) = C20.8Q8φ: C4:C8/C2xC8 → C2 ⊆ Aut C5160C5:4(C4:C8)160,21


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