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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⋊Dic396C6xC4:Dic3288,696

Semidirect products G=N:Q with N=C3×C4⋊Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4⋊Dic3)⋊1C2 = D12⋊3Dic3φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3):1C2288,210
(C3×C4⋊Dic3)⋊2C2 = C6.17D24φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic348(C3xC4:Dic3):2C2288,212
(C3×C4⋊Dic3)⋊3C2 = C3×D4⋊Dic3φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic348(C3xC4:Dic3):3C2288,266
(C3×C4⋊Dic3)⋊4C2 = C62.11C23φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3):4C2288,489
(C3×C4⋊Dic3)⋊5C2 = C62.18C23φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic348(C3xC4:Dic3):5C2288,496
(C3×C4⋊Dic3)⋊6C2 = C62.19C23φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic348(C3xC4:Dic3):6C2288,497
(C3×C4⋊Dic3)⋊7C2 = C62.24C23φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic348(C3xC4:Dic3):7C2288,502
(C3×C4⋊Dic3)⋊8C2 = D6⋊7Dic6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3):8C2288,505
(C3×C4⋊Dic3)⋊9C2 = C62.28C23φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3):9C2288,506
(C3×C4⋊Dic3)⋊10C2 = C12.30D12φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic348(C3xC4:Dic3):10C2288,519
(C3×C4⋊Dic3)⋊11C2 = S3×C4⋊Dic3φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3):11C2288,537
(C3×C4⋊Dic3)⋊12C2 = D6.D12φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic348(C3xC4:Dic3):12C2288,538
(C3×C4⋊Dic3)⋊13C2 = Dic3⋊5D12φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic348(C3xC4:Dic3):13C2288,542
(C3×C4⋊Dic3)⋊14C2 = C62.65C23φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic348(C3xC4:Dic3):14C2288,543
(C3×C4⋊Dic3)⋊15C2 = D12⋊Dic3φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3):15C2288,546
(C3×C4⋊Dic3)⋊16C2 = D6⋊4Dic6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3):16C2288,547
(C3×C4⋊Dic3)⋊17C2 = C62.70C23φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic348(C3xC4:Dic3):17C2288,548
(C3×C4⋊Dic3)⋊18C2 = C12⋊7D12φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic348(C3xC4:Dic3):18C2288,557
(C3×C4⋊Dic3)⋊19C2 = C12⋊2D12φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic348(C3xC4:Dic3):19C2288,564
(C3×C4⋊Dic3)⋊20C2 = C3×S3×C4⋊C4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3):20C2288,662
(C3×C4⋊Dic3)⋊21C2 = C3×C4⋊C4⋊7S3φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3):21C2288,663
(C3×C4⋊Dic3)⋊22C2 = C3×D4×Dic3φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic348(C3xC4:Dic3):22C2288,705
(C3×C4⋊Dic3)⋊23C2 = C3×D6⋊3D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic348(C3xC4:Dic3):23C2288,709
(C3×C4⋊Dic3)⋊24C2 = C3×D6⋊3Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3):24C2288,717
(C3×C4⋊Dic3)⋊25C2 = C3×C2.D24φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3):25C2288,255
(C3×C4⋊Dic3)⋊26C2 = C3×Dic3.D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic348(C3xC4:Dic3):26C2288,649
(C3×C4⋊Dic3)⋊27C2 = C3×C23.8D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic348(C3xC4:Dic3):27C2288,650
(C3×C4⋊Dic3)⋊28C2 = C3×C23.9D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic348(C3xC4:Dic3):28C2288,654
(C3×C4⋊Dic3)⋊29C2 = C3×C23.21D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic348(C3xC4:Dic3):29C2288,657
(C3×C4⋊Dic3)⋊30C2 = C3×C4.D12φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3):30C2288,668
(C3×C4⋊Dic3)⋊31C2 = C3×C4⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3):31C2288,669
(C3×C4⋊Dic3)⋊32C2 = C3×C12.48D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic348(C3xC4:Dic3):32C2288,695
(C3×C4⋊Dic3)⋊33C2 = C3×C12⋊7D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic348(C3xC4:Dic3):33C2288,701
(C3×C4⋊Dic3)⋊34C2 = C12×D12φ: trivial image96(C3xC4:Dic3):34C2288,644
(C3×C4⋊Dic3)⋊35C2 = C3×C23.26D6φ: trivial image48(C3xC4:Dic3):35C2288,697

Non-split extensions G=N.Q with N=C3×C4⋊Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4⋊Dic3).1C2 = Dic6⋊Dic3φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).1C2288,213
(C3×C4⋊Dic3).2C2 = C12.73D12φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).2C2288,215
(C3×C4⋊Dic3).3C2 = C12.Dic6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).3C2288,221
(C3×C4⋊Dic3).4C2 = C12.6Dic6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).4C2288,222
(C3×C4⋊Dic3).5C2 = C6.18D24φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).5C2288,223
(C3×C4⋊Dic3).6C2 = C12.8Dic6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).6C2288,224
(C3×C4⋊Dic3).7C2 = C3×C6.Q16φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).7C2288,241
(C3×C4⋊Dic3).8C2 = C3×C12.Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).8C2288,242
(C3×C4⋊Dic3).9C2 = C3×Q8⋊2Dic3φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).9C2288,269
(C3×C4⋊Dic3).10C2 = C62.13C23φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).10C2288,491
(C3×C4⋊Dic3).11C2 = Dic3⋊6Dic6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).11C2288,492
(C3×C4⋊Dic3).12C2 = C62.16C23φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).12C2288,494
(C3×C4⋊Dic3).13C2 = C62.17C23φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).13C2288,495
(C3×C4⋊Dic3).14C2 = C62.39C23φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).14C2288,517
(C3×C4⋊Dic3).15C2 = C62.42C23φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).15C2288,520
(C3×C4⋊Dic3).16C2 = C12⋊3Dic6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).16C2288,566
(C3×C4⋊Dic3).17C2 = C12⋊Dic6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).17C2288,567
(C3×C4⋊Dic3).18C2 = C3×C12⋊Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).18C2288,659
(C3×C4⋊Dic3).19C2 = C3×Q8×Dic3φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).19C2288,716
(C3×C4⋊Dic3).20C2 = C3×C2.Dic12φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).20C2288,250
(C3×C4⋊Dic3).21C2 = C3×C8⋊Dic3φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).21C2288,251
(C3×C4⋊Dic3).22C2 = C3×C24⋊1C4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).22C2288,252
(C3×C4⋊Dic3).23C2 = C3×C12⋊2Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).23C2288,640
(C3×C4⋊Dic3).24C2 = C3×C12.6Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).24C2288,641
(C3×C4⋊Dic3).25C2 = C3×Dic3.Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).25C2288,660
(C3×C4⋊Dic3).26C2 = C3×C4.Dic6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic396(C3xC4:Dic3).26C2288,661
(C3×C4⋊Dic3).27C2 = C12×Dic6φ: trivial image96(C3xC4:Dic3).27C2288,639

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