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

Direct product G=NxQ with N=C5:D12 and Q=C4
dρLabelID
C4xC5:D12240C4xC5:D12480,521

Semidirect products G=N:Q with N=C5:D12 and Q=C4
extensionφ:Q→Out NdρLabelID
C5:D12:1C4 = F5xD12φ: C4/C1 → C4 ⊆ Out C5:D12608+C5:D12:1C4480,995
C5:D12:2C4 = D60:3C4φ: C4/C1 → C4 ⊆ Out C5:D12608+C5:D12:2C4480,997
C5:D12:3C4 = Dic5:4D12φ: C4/C2 → C2 ⊆ Out C5:D12240C5:D12:3C4480,481
C5:D12:4C4 = Dic15:14D4φ: C4/C2 → C2 ⊆ Out C5:D12240C5:D12:4C4480,482
C5:D12:5C4 = C15:22(C4xD4)φ: C4/C2 → C2 ⊆ Out C5:D12240C5:D12:5C4480,522

Non-split extensions G=N.Q with N=C5:D12 and Q=C4
extensionφ:Q→Out NdρLabelID
C5:D12.1C4 = C5:C8.D6φ: C4/C1 → C4 ⊆ Out C5:D122408C5:D12.1C4480,1003
C5:D12.2C4 = D15:C8:C2φ: C4/C1 → C4 ⊆ Out C5:D122408C5:D12.2C4480,1005
C5:D12.3C4 = C40.34D6φ: C4/C2 → C2 ⊆ Out C5:D122404C5:D12.3C4480,342
C5:D12.4C4 = C40.55D6φ: C4/C2 → C2 ⊆ Out C5:D122404C5:D12.4C4480,343
C5:D12.5C4 = C40.35D6φ: C4/C2 → C2 ⊆ Out C5:D122404C5:D12.5C4480,344
C5:D12.6C4 = C40.54D6φ: trivial image2404C5:D12.6C4480,341

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