Extensions 1→N→G→Q→1 with N=D12 and Q=C8

Direct product G=NxQ with N=D12 and Q=C8
dρLabelID
C8xD1296C8xD12192,245

Semidirect products G=N:Q with N=D12 and Q=C8
extensionφ:Q→Out NdρLabelID
D12:1C8 = C4.17D24φ: C8/C4C2 ⊆ Out D1296D12:1C8192,18
D12:2C8 = D12:2C8φ: C8/C4C2 ⊆ Out D1296D12:2C8192,42
D12:3C8 = D12:C8φ: C8/C4C2 ⊆ Out D1296D12:3C8192,393

Non-split extensions G=N.Q with N=D12 and Q=C8
extensionφ:Q→Out NdρLabelID
D12.1C8 = D12.C8φ: C8/C4C2 ⊆ Out D12962D12.1C8192,67
D12.2C8 = Dic6.C8φ: C8/C4C2 ⊆ Out D12964D12.2C8192,74
D12.3C8 = C16.12D6φ: C8/C4C2 ⊆ Out D12964D12.3C8192,466
D12.4C8 = D12.4C8φ: trivial image962D12.4C8192,460

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