Extensions 1→N→G→Q→1 with N=D12 and Q=D5

Direct product G=N×Q with N=D12 and Q=D5
dρLabelID
D5×D12604+D5xD12240,136

Semidirect products G=N:Q with N=D12 and Q=D5
extensionφ:Q→Out NdρLabelID
D121D5 = C5⋊D24φ: D5/C5C2 ⊆ Out D121204+D12:1D5240,15
D122D5 = C15⋊D8φ: D5/C5C2 ⊆ Out D121204D12:2D5240,13
D123D5 = D12⋊D5φ: D5/C5C2 ⊆ Out D121204D12:3D5240,129
D124D5 = C20⋊D6φ: D5/C5C2 ⊆ Out D12604D12:4D5240,138
D125D5 = D125D5φ: trivial image1204-D12:5D5240,133

Non-split extensions G=N.Q with N=D12 and Q=D5
extensionφ:Q→Out NdρLabelID
D12.1D5 = D12.D5φ: D5/C5C2 ⊆ Out D121204-D12.1D5240,20
D12.2D5 = C20.D6φ: D5/C5C2 ⊆ Out D121204D12.2D5240,17

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