Extensions 1→N→G→Q→1 with N=D12 and Q=C14

Direct product G=N×Q with N=D12 and Q=C14
dρLabelID
C14×D12168C14xD12336,186

Semidirect products G=N:Q with N=D12 and Q=C14
extensionφ:Q→Out NdρLabelID
D121C14 = C7×D24φ: C14/C7C2 ⊆ Out D121682D12:1C14336,77
D122C14 = C7×D4⋊S3φ: C14/C7C2 ⊆ Out D121684D12:2C14336,85
D123C14 = S3×C7×D4φ: C14/C7C2 ⊆ Out D12844D12:3C14336,188
D124C14 = C7×Q83S3φ: C14/C7C2 ⊆ Out D121684D12:4C14336,191
D125C14 = C7×C4○D12φ: trivial image1682D12:5C14336,187

Non-split extensions G=N.Q with N=D12 and Q=C14
extensionφ:Q→Out NdρLabelID
D12.1C14 = C7×C24⋊C2φ: C14/C7C2 ⊆ Out D121682D12.1C14336,76
D12.2C14 = C7×Q82S3φ: C14/C7C2 ⊆ Out D121684D12.2C14336,87

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