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Extensions 1→N→G→Q→1 with N=C5 and Q=C23.48D4

Direct product G=NxQ with N=C5 and Q=C23.48D4
dρLabelID
C5xC23.48D4160C5xC2^3.48D4320,985

Semidirect products G=N:Q with N=C5 and Q=C23.48D4
extensionφ:Q→Aut NdρLabelID
C5:1(C23.48D4) = C23.35D20φ: C23.48D4/C22:C8 → C2 ⊆ Aut C5160C5:1(C2^3.48D4)320,349
C5:2(C23.48D4) = D10.7Q16φ: C23.48D4/Q8:C4 → C2 ⊆ Aut C5160C5:2(C2^3.48D4)320,436
C5:3(C23.48D4) = D10.8Q16φ: C23.48D4/C2.D8 → C2 ⊆ Aut C5160C5:3(C2^3.48D4)320,511
C5:4(C23.48D4) = C4:C4.230D10φ: C23.48D4/C2xC4:C4 → C2 ⊆ Aut C5160C5:4(C2^3.48D4)320,597
C5:5(C23.48D4) = (C2xC10).Q16φ: C23.48D4/C22:Q8 → C2 ⊆ Aut C5160C5:5(C2^3.48D4)320,671


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