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Extensions 1→N→G→Q→1 with N=C3×C4.Dic3 and Q=C2

Direct product G=N×Q with N=C3×C4.Dic3 and Q=C2
dρLabelID
C6×C4.Dic348C6xC4.Dic3288,692

Semidirect products G=N:Q with N=C3×C4.Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4.Dic3)⋊1C2 = D12⋊18D6φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3244+(C3xC4.Dic3):1C2288,473
(C3×C4.Dic3)⋊2C2 = D12.28D6φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484(C3xC4.Dic3):2C2288,478
(C3×C4.Dic3)⋊3C2 = D12.29D6φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484-(C3xC4.Dic3):3C2288,479
(C3×C4.Dic3)⋊4C2 = Dic6.29D6φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484(C3xC4.Dic3):4C2288,481
(C3×C4.Dic3)⋊5C2 = C3×D12⋊6C22φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3244(C3xC4.Dic3):5C2288,703
(C3×C4.Dic3)⋊6C2 = C3×Q8.11D6φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484(C3xC4.Dic3):6C2288,713
(C3×C4.Dic3)⋊7C2 = C3×D4⋊D6φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484(C3xC4.Dic3):7C2288,720
(C3×C4.Dic3)⋊8C2 = C3×Q8.14D6φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484(C3xC4.Dic3):8C2288,722
(C3×C4.Dic3)⋊9C2 = S3×C4.Dic3φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484(C3xC4.Dic3):9C2288,461
(C3×C4.Dic3)⋊10C2 = D12.Dic3φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484(C3xC4.Dic3):10C2288,463
(C3×C4.Dic3)⋊11C2 = C3⋊C8.22D6φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484(C3xC4.Dic3):11C2288,465
(C3×C4.Dic3)⋊12C2 = C3⋊C8⋊20D6φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3244(C3xC4.Dic3):12C2288,466
(C3×C4.Dic3)⋊13C2 = C12.D12φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484(C3xC4.Dic3):13C2288,206
(C3×C4.Dic3)⋊14C2 = C12.70D12φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3244+(C3xC4.Dic3):14C2288,207
(C3×C4.Dic3)⋊15C2 = D12⋊4Dic3φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3244(C3xC4.Dic3):15C2288,216
(C3×C4.Dic3)⋊16C2 = C12.80D12φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484(C3xC4.Dic3):16C2288,218
(C3×C4.Dic3)⋊17C2 = C3×C42⋊4S3φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3242(C3xC4.Dic3):17C2288,239
(C3×C4.Dic3)⋊18C2 = C3×C12.46D4φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484(C3xC4.Dic3):18C2288,257
(C3×C4.Dic3)⋊19C2 = C3×C12.D4φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3244(C3xC4.Dic3):19C2288,267
(C3×C4.Dic3)⋊20C2 = C3×Q8⋊3Dic3φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484(C3xC4.Dic3):20C2288,271
(C3×C4.Dic3)⋊21C2 = C3×S3×M4(2)φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484(C3xC4.Dic3):21C2288,677
(C3×C4.Dic3)⋊22C2 = C3×D4.Dic3φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484(C3xC4.Dic3):22C2288,719
(C3×C4.Dic3)⋊23C2 = C3×C8○D12φ: trivial image482(C3xC4.Dic3):23C2288,672

Non-split extensions G=N.Q with N=C3×C4.Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4.Dic3).1C2 = C12.14D12φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484(C3xC4.Dic3).1C2288,208
(C3×C4.Dic3).2C2 = C12.71D12φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484-(C3xC4.Dic3).2C2288,209
(C3×C4.Dic3).3C2 = C12.82D12φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484(C3xC4.Dic3).3C2288,225
(C3×C4.Dic3).4C2 = C62.5Q8φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484(C3xC4.Dic3).4C2288,226
(C3×C4.Dic3).5C2 = C3×C24.C4φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3482(C3xC4.Dic3).5C2288,253
(C3×C4.Dic3).6C2 = C3×C12.53D4φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484(C3xC4.Dic3).6C2288,256
(C3×C4.Dic3).7C2 = C3×C12.47D4φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484(C3xC4.Dic3).7C2288,258
(C3×C4.Dic3).8C2 = C3×C12.10D4φ: C2/C1 → C2 ⊆ Out C3×C4.Dic3484(C3xC4.Dic3).8C2288,270

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