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Extensions 1→N→G→Q→1 with N=Dic3×C12 and Q=C2

Direct product G=N×Q with N=Dic3×C12 and Q=C2
dρLabelID
Dic3×C2×C1296Dic3xC2xC12288,693

Semidirect products G=N:Q with N=Dic3×C12 and Q=C2
extensionφ:Q→Out NdρLabelID
(Dic3×C12)⋊1C2 = Dic3.D12φ: C2/C1 → C2 ⊆ Out Dic3×C1248(Dic3xC12):1C2288,500
(Dic3×C12)⋊2C2 = Dic3⋊4D12φ: C2/C1 → C2 ⊆ Out Dic3×C1248(Dic3xC12):2C2288,528
(Dic3×C12)⋊3C2 = C4×C3⋊D12φ: C2/C1 → C2 ⊆ Out Dic3×C1248(Dic3xC12):3C2288,551
(Dic3×C12)⋊4C2 = D12⋊2Dic3φ: C2/C1 → C2 ⊆ Out Dic3×C12484(Dic3xC12):4C2288,217
(Dic3×C12)⋊5C2 = C12.80D12φ: C2/C1 → C2 ⊆ Out Dic3×C12484(Dic3xC12):5C2288,218
(Dic3×C12)⋊6C2 = C3×D12⋊C4φ: C2/C1 → C2 ⊆ Out Dic3×C12484(Dic3xC12):6C2288,259
(Dic3×C12)⋊7C2 = C3×Q8⋊3Dic3φ: C2/C1 → C2 ⊆ Out Dic3×C12484(Dic3xC12):7C2288,271
(Dic3×C12)⋊8C2 = C12.27D12φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12):8C2288,508
(Dic3×C12)⋊9C2 = C12.28D12φ: C2/C1 → C2 ⊆ Out Dic3×C1248(Dic3xC12):9C2288,512
(Dic3×C12)⋊10C2 = Dic3×D12φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12):10C2288,540
(Dic3×C12)⋊11C2 = Dic3⋊5D12φ: C2/C1 → C2 ⊆ Out Dic3×C1248(Dic3xC12):11C2288,542
(Dic3×C12)⋊12C2 = C12⋊D12φ: C2/C1 → C2 ⊆ Out Dic3×C1248(Dic3xC12):12C2288,559
(Dic3×C12)⋊13C2 = C3×Dic3⋊5D4φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12):13C2288,664
(Dic3×C12)⋊14C2 = C3×D4×Dic3φ: C2/C1 → C2 ⊆ Out Dic3×C1248(Dic3xC12):14C2288,705
(Dic3×C12)⋊15C2 = C3×C23.12D6φ: C2/C1 → C2 ⊆ Out Dic3×C1248(Dic3xC12):15C2288,707
(Dic3×C12)⋊16C2 = C3×C12⋊3D4φ: C2/C1 → C2 ⊆ Out Dic3×C1248(Dic3xC12):16C2288,711
(Dic3×C12)⋊17C2 = C3×C12.23D4φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12):17C2288,718
(Dic3×C12)⋊18C2 = C62.6C23φ: C2/C1 → C2 ⊆ Out Dic3×C1248(Dic3xC12):18C2288,484
(Dic3×C12)⋊19C2 = C62.25C23φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12):19C2288,503
(Dic3×C12)⋊20C2 = C62.29C23φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12):20C2288,507
(Dic3×C12)⋊21C2 = C62.38C23φ: C2/C1 → C2 ⊆ Out Dic3×C1248(Dic3xC12):21C2288,516
(Dic3×C12)⋊22C2 = C62.44C23φ: C2/C1 → C2 ⊆ Out Dic3×C1248(Dic3xC12):22C2288,522
(Dic3×C12)⋊23C2 = C4×S3×Dic3φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12):23C2288,523
(Dic3×C12)⋊24C2 = C62.47C23φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12):24C2288,525
(Dic3×C12)⋊25C2 = C4×C6.D6φ: C2/C1 → C2 ⊆ Out Dic3×C1248(Dic3xC12):25C2288,530
(Dic3×C12)⋊26C2 = C3×C42⋊2S3φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12):26C2288,643
(Dic3×C12)⋊27C2 = C3×C23.16D6φ: C2/C1 → C2 ⊆ Out Dic3×C1248(Dic3xC12):27C2288,648
(Dic3×C12)⋊28C2 = C3×C23.8D6φ: C2/C1 → C2 ⊆ Out Dic3×C1248(Dic3xC12):28C2288,650
(Dic3×C12)⋊29C2 = C3×C4⋊C4⋊7S3φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12):29C2288,663
(Dic3×C12)⋊30C2 = C3×C4⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12):30C2288,669
(Dic3×C12)⋊31C2 = C3×C23.26D6φ: C2/C1 → C2 ⊆ Out Dic3×C1248(Dic3xC12):31C2288,697
(Dic3×C12)⋊32C2 = C3×Dic3⋊4D4φ: C2/C1 → C2 ⊆ Out Dic3×C1248(Dic3xC12):32C2288,652
(Dic3×C12)⋊33C2 = C3×C23.11D6φ: C2/C1 → C2 ⊆ Out Dic3×C1248(Dic3xC12):33C2288,656
(Dic3×C12)⋊34C2 = C12×C3⋊D4φ: C2/C1 → C2 ⊆ Out Dic3×C1248(Dic3xC12):34C2288,699
(Dic3×C12)⋊35C2 = S3×C4×C12φ: trivial image96(Dic3xC12):35C2288,642

Non-split extensions G=N.Q with N=Dic3×C12 and Q=C2
extensionφ:Q→Out NdρLabelID
(Dic3×C12).1C2 = C12.81D12φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12).1C2288,219
(Dic3×C12).2C2 = Dic3⋊5Dic6φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12).2C2288,485
(Dic3×C12).3C2 = C62.37C23φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12).3C2288,515
(Dic3×C12).4C2 = C4×C32⋊2Q8φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12).4C2288,565
(Dic3×C12).5C2 = Dic3×Dic6φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12).5C2288,490
(Dic3×C12).6C2 = Dic3⋊6Dic6φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12).6C2288,492
(Dic3×C12).7C2 = Dic3⋊Dic6φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12).7C2288,514
(Dic3×C12).8C2 = C62.39C23φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12).8C2288,517
(Dic3×C12).9C2 = C12⋊3Dic6φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12).9C2288,566
(Dic3×C12).10C2 = C3×C12⋊Q8φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12).10C2288,659
(Dic3×C12).11C2 = C3×C4.Dic6φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12).11C2288,661
(Dic3×C12).12C2 = C3×Dic3⋊Q8φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12).12C2288,715
(Dic3×C12).13C2 = C3×Q8×Dic3φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12).13C2288,716
(Dic3×C12).14C2 = Dic3×C3⋊C8φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12).14C2288,200
(Dic3×C12).15C2 = C3⋊C8⋊Dic3φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12).15C2288,202
(Dic3×C12).16C2 = C3×C24⋊C4φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12).16C2288,249
(Dic3×C12).17C2 = C3×Dic3⋊C8φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12).17C2288,248
(Dic3×C12).18C2 = C12×Dic6φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12).18C2288,639
(Dic3×C12).19C2 = C3×Dic6⋊C4φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12).19C2288,658
(Dic3×C12).20C2 = C3×Dic3.Q8φ: C2/C1 → C2 ⊆ Out Dic3×C1296(Dic3xC12).20C2288,660
(Dic3×C12).21C2 = Dic3×C24φ: trivial image96(Dic3xC12).21C2288,247

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