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Extensions 1→N→G→Q→1 with N=C5 and Q=C8xD4

Direct product G=NxQ with N=C5 and Q=C8xD4
dρLabelID
D4xC40160D4xC40320,935

Semidirect products G=N:Q with N=C5 and Q=C8xD4
extensionφ:Q→Aut NdρLabelID
C5:1(C8xD4) = C5:C8:8D4φ: C8xD4/C22:C4 → C4 ⊆ Aut C5160C5:1(C8xD4)320,1030
C5:2(C8xD4) = D20:2C8φ: C8xD4/C4:C4 → C4 ⊆ Aut C5160C5:2(C8xD4)320,1040
C5:3(C8xD4) = D4xC5:C8φ: C8xD4/C2xD4 → C4 ⊆ Aut C5160C5:3(C8xD4)320,1110
C5:4(C8xD4) = C8xD20φ: C8xD4/C4xC8 → C2 ⊆ Aut C5160C5:4(C8xD4)320,313
C5:5(C8xD4) = C5:5(C8xD4)φ: C8xD4/C22:C8 → C2 ⊆ Aut C5160C5:5(C8xD4)320,352
C5:6(C8xD4) = D20:5C8φ: C8xD4/C4:C8 → C2 ⊆ Aut C5160C5:6(C8xD4)320,461
C5:7(C8xD4) = D4xC5:2C8φ: C8xD4/C4xD4 → C2 ⊆ Aut C5160C5:7(C8xD4)320,637
C5:8(C8xD4) = C8xC5:D4φ: C8xD4/C22xC8 → C2 ⊆ Aut C5160C5:8(C8xD4)320,736


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