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Extensions 1→N→G→Q→1 with N=C5 and Q=D4:C8

Direct product G=NxQ with N=C5 and Q=D4:C8
dρLabelID
C5xD4:C8160C5xD4:C8320,130

Semidirect products G=N:Q with N=C5 and Q=D4:C8
extensionφ:Q→Aut NdρLabelID
C5:1(D4:C8) = D20:C8φ: D4:C8/C4:C4 → C4 ⊆ Aut C5160C5:1(D4:C8)320,209
C5:2(D4:C8) = Dic5.23D8φ: D4:C8/C2xD4 → C4 ⊆ Aut C5160C5:2(D4:C8)320,262
C5:3(D4:C8) = D20:3C8φ: D4:C8/C4xC8 → C2 ⊆ Aut C5160C5:3(D4:C8)320,17
C5:4(D4:C8) = D20:4C8φ: D4:C8/C4:C8 → C2 ⊆ Aut C5160C5:4(D4:C8)320,41
C5:5(D4:C8) = C20.57D8φ: D4:C8/C4xD4 → C2 ⊆ Aut C5160C5:5(D4:C8)320,92


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