Extensions 1→N→G→Q→1 with N=C5 and Q=C4.D12

Direct product G=NxQ with N=C5 and Q=C4.D12
dρLabelID
C5xC4.D12240C5xC4.D12480,776

Semidirect products G=N:Q with N=C5 and Q=C4.D12
extensionφ:Q→Aut NdρLabelID
C5:1(C4.D12) = D30:2Q8φ: C4.D12/C4:Dic3C2 ⊆ Aut C5240C5:1(C4.D12)480,495
C5:2(C4.D12) = D6:2Dic10φ: C4.D12/D6:C4C2 ⊆ Aut C5240C5:2(C4.D12)480,493
C5:3(C4.D12) = D30:6Q8φ: C4.D12/C3xC4:C4C2 ⊆ Aut C5240C5:3(C4.D12)480,862
C5:4(C4.D12) = D30:9Q8φ: C4.D12/C2xDic6C2 ⊆ Aut C5240C5:4(C4.D12)480,459
C5:5(C4.D12) = C60.45D4φ: C4.D12/S3xC2xC4C2 ⊆ Aut C5240C5:5(C4.D12)480,441


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