Extensions 1→N→G→Q→1 with N=D12 and Q=S3

Direct product G=N×Q with N=D12 and Q=S3
dρLabelID
S3×D12244+S3xD12144,144

Semidirect products G=N:Q with N=D12 and Q=S3
extensionφ:Q→Out NdρLabelID
D121S3 = C3⋊D24φ: S3/C3C2 ⊆ Out D12244+D12:1S3144,57
D122S3 = C322D8φ: S3/C3C2 ⊆ Out D12484D12:2S3144,56
D123S3 = D12⋊S3φ: S3/C3C2 ⊆ Out D12244D12:3S3144,139
D124S3 = D6⋊D6φ: S3/C3C2 ⊆ Out D12244D12:4S3144,145
D125S3 = D125S3φ: trivial image484-D12:5S3144,138

Non-split extensions G=N.Q with N=D12 and Q=S3
extensionφ:Q→Out NdρLabelID
D12.1S3 = D12.S3φ: S3/C3C2 ⊆ Out D12484-D12.1S3144,59
D12.2S3 = Dic6⋊S3φ: S3/C3C2 ⊆ Out D12484D12.2S3144,58

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