Extensions 1→N→G→Q→1 with N=D12 and Q=C20

Direct product G=NxQ with N=D12 and Q=C20
dρLabelID
C20xD12240C20xD12480,752

Semidirect products G=N:Q with N=D12 and Q=C20
extensionφ:Q→Out NdρLabelID
D12:1C20 = C5xC42:4S3φ: C20/C10C2 ⊆ Out D121202D12:1C20480,124
D12:2C20 = C5xC2.D24φ: C20/C10C2 ⊆ Out D12240D12:2C20480,140
D12:3C20 = C5xC6.D8φ: C20/C10C2 ⊆ Out D12240D12:3C20480,128
D12:4C20 = C5xD12:C4φ: C20/C10C2 ⊆ Out D121204D12:4C20480,144
D12:5C20 = C5xDic3:5D4φ: C20/C10C2 ⊆ Out D12240D12:5C20480,772

Non-split extensions G=N.Q with N=D12 and Q=C20
extensionφ:Q→Out NdρLabelID
D12.C20 = C5xD12.C4φ: C20/C10C2 ⊆ Out D122404D12.C20480,786
D12.2C20 = C5xC8oD12φ: trivial image2402D12.2C20480,780

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