Extensions 1→N→G→Q→1 with N=Dic6 and Q=C8

Direct product G=NxQ with N=Dic6 and Q=C8
dρLabelID
C8xDic6192C8xDic6192,237

Semidirect products G=N:Q with N=Dic6 and Q=C8
extensionφ:Q→Out NdρLabelID
Dic6:1C8 = C4.8Dic12φ: C8/C4C2 ⊆ Out Dic6192Dic6:1C8192,15
Dic6:2C8 = Dic6:2C8φ: C8/C4C2 ⊆ Out Dic6192Dic6:2C8192,43
Dic6:3C8 = Dic6:C8φ: C8/C4C2 ⊆ Out Dic6192Dic6:3C8192,389

Non-split extensions G=N.Q with N=Dic6 and Q=C8
extensionφ:Q→Out NdρLabelID
Dic6.1C8 = D12.C8φ: C8/C4C2 ⊆ Out Dic6962Dic6.1C8192,67
Dic6.2C8 = Dic6.C8φ: C8/C4C2 ⊆ Out Dic6964Dic6.2C8192,74
Dic6.3C8 = C16.12D6φ: C8/C4C2 ⊆ Out Dic6964Dic6.3C8192,466
Dic6.4C8 = D12.4C8φ: trivial image962Dic6.4C8192,460

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