Extensions 1→N→G→Q→1 with N=D12 and Q=D7

Direct product G=N×Q with N=D12 and Q=D7
dρLabelID
D7×D12844+D7xD12336,148

Semidirect products G=N:Q with N=D12 and Q=D7
extensionφ:Q→Out NdρLabelID
D121D7 = C7⋊D24φ: D7/C7C2 ⊆ Out D121684+D12:1D7336,31
D122D7 = C21⋊D8φ: D7/C7C2 ⊆ Out D121684D12:2D7336,29
D123D7 = D12⋊D7φ: D7/C7C2 ⊆ Out D121684D12:3D7336,141
D124D7 = C28⋊D6φ: D7/C7C2 ⊆ Out D12844D12:4D7336,150
D125D7 = D125D7φ: trivial image1684-D12:5D7336,145

Non-split extensions G=N.Q with N=D12 and Q=D7
extensionφ:Q→Out NdρLabelID
D12.1D7 = D12.D7φ: D7/C7C2 ⊆ Out D121684-D12.1D7336,36
D12.2D7 = C42.D4φ: D7/C7C2 ⊆ Out D121684D12.2D7336,33

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