Extensions 1→N→G→Q→1 with N=Dic6 and Q=Dic3

Direct product G=N×Q with N=Dic6 and Q=Dic3
dρLabelID
Dic3×Dic696Dic3xDic6288,490

Semidirect products G=N:Q with N=Dic6 and Q=Dic3
extensionφ:Q→Out NdρLabelID
Dic61Dic3 = C6.Dic12φ: Dic3/C6C2 ⊆ Out Dic696Dic6:1Dic3288,214
Dic62Dic3 = D122Dic3φ: Dic3/C6C2 ⊆ Out Dic6484Dic6:2Dic3288,217
Dic63Dic3 = Dic6⋊Dic3φ: Dic3/C6C2 ⊆ Out Dic696Dic6:3Dic3288,213
Dic64Dic3 = D124Dic3φ: Dic3/C6C2 ⊆ Out Dic6244Dic6:4Dic3288,216
Dic65Dic3 = C62.13C23φ: Dic3/C6C2 ⊆ Out Dic696Dic6:5Dic3288,491

Non-split extensions G=N.Q with N=Dic6 and Q=Dic3
extensionφ:Q→Out NdρLabelID
Dic6.Dic3 = D12.Dic3φ: Dic3/C6C2 ⊆ Out Dic6484Dic6.Dic3288,463
Dic6.2Dic3 = D12.2Dic3φ: trivial image484Dic6.2Dic3288,462

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