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Extensions 1→N→G→Q→1 with N=C3×Dic12 and Q=C2

Direct product G=N×Q with N=C3×Dic12 and Q=C2
dρLabelID
C6×Dic1296C6xDic12288,676

Semidirect products G=N:Q with N=C3×Dic12 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×Dic12)⋊1C2 = D12.4D6φ: C2/C1 → C2 ⊆ Out C3×Dic12484(C3xDic12):1C2288,459
(C3×Dic12)⋊2C2 = Dic12⋊S3φ: C2/C1 → C2 ⊆ Out C3×Dic12484(C3xDic12):2C2288,449
(C3×Dic12)⋊3C2 = C3×C8.D6φ: C2/C1 → C2 ⊆ Out C3×Dic12484(C3xDic12):3C2288,680
(C3×Dic12)⋊4C2 = C3×C48⋊C2φ: C2/C1 → C2 ⊆ Out C3×Dic12962(C3xDic12):4C2288,234
(C3×Dic12)⋊5C2 = D24.S3φ: C2/C1 → C2 ⊆ Out C3×Dic12964(C3xDic12):5C2288,195
(C3×Dic12)⋊6C2 = C24.49D6φ: C2/C1 → C2 ⊆ Out C3×Dic12484+(C3xDic12):6C2288,197
(C3×Dic12)⋊7C2 = C3×D8.S3φ: C2/C1 → C2 ⊆ Out C3×Dic12484(C3xDic12):7C2288,261
(C3×Dic12)⋊8C2 = S3×Dic12φ: C2/C1 → C2 ⊆ Out C3×Dic12964-(C3xDic12):8C2288,447
(C3×Dic12)⋊9C2 = C24.23D6φ: C2/C1 → C2 ⊆ Out C3×Dic12484(C3xDic12):9C2288,450
(C3×Dic12)⋊10C2 = D6.3D12φ: C2/C1 → C2 ⊆ Out C3×Dic12484+(C3xDic12):10C2288,456
(C3×Dic12)⋊11C2 = D24⋊5S3φ: C2/C1 → C2 ⊆ Out C3×Dic12484(C3xDic12):11C2288,458
(C3×Dic12)⋊12C2 = C3×D8⋊3S3φ: C2/C1 → C2 ⊆ Out C3×Dic12484(C3xDic12):12C2288,683
(C3×Dic12)⋊13C2 = C3×S3×Q16φ: C2/C1 → C2 ⊆ Out C3×Dic12964(C3xDic12):13C2288,688
(C3×Dic12)⋊14C2 = C3×D4.D6φ: C2/C1 → C2 ⊆ Out C3×Dic12484(C3xDic12):14C2288,686
(C3×Dic12)⋊15C2 = C3×C4○D24φ: trivial image482(C3xDic12):15C2288,675

Non-split extensions G=N.Q with N=C3×Dic12 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×Dic12).1C2 = C3×Dic24φ: C2/C1 → C2 ⊆ Out C3×Dic12962(C3xDic12).1C2288,235
(C3×Dic12).2C2 = C32⋊2Q32φ: C2/C1 → C2 ⊆ Out C3×Dic12964(C3xDic12).2C2288,198
(C3×Dic12).3C2 = C32⋊3Q32φ: C2/C1 → C2 ⊆ Out C3×Dic12964-(C3xDic12).3C2288,199
(C3×Dic12).4C2 = C3×C3⋊Q32φ: C2/C1 → C2 ⊆ Out C3×Dic12964(C3xDic12).4C2288,263

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