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Extensions 1→N→G→Q→1 with N=C3×D6⋊C4 and Q=C2

Direct product G=N×Q with N=C3×D6⋊C4 and Q=C2
dρLabelID
C6×D6⋊C496C6xD6:C4288,698

Semidirect products G=N:Q with N=C3×D6⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×D6⋊C4)⋊1C2 = D6⋊5D12φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):1C2288,571
(C3×D6⋊C4)⋊2C2 = Dic3.D12φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):2C2288,500
(C3×D6⋊C4)⋊3C2 = C62.23C23φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):3C2288,501
(C3×D6⋊C4)⋊4C2 = D6.9D12φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4):4C2288,539
(C3×D6⋊C4)⋊5C2 = C62.75C23φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4):5C2288,553
(C3×D6⋊C4)⋊6C2 = D6⋊D12φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):6C2288,554
(C3×D6⋊C4)⋊7C2 = Dic3⋊3D12φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):7C2288,558
(C3×D6⋊C4)⋊8C2 = C62.82C23φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):8C2288,560
(C3×D6⋊C4)⋊9C2 = C62.83C23φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4):9C2288,561
(C3×D6⋊C4)⋊10C2 = C62.85C23φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4):10C2288,563
(C3×D6⋊C4)⋊11C2 = C62.24C23φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):11C2288,502
(C3×D6⋊C4)⋊12C2 = C62.55C23φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4):12C2288,533
(C3×D6⋊C4)⋊13C2 = C62.77C23φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):13C2288,555
(C3×D6⋊C4)⋊14C2 = D6.D12φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):14C2288,538
(C3×D6⋊C4)⋊15C2 = D6⋊4D12φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):15C2288,570
(C3×D6⋊C4)⋊16C2 = C3×D6⋊D4φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):16C2288,653
(C3×D6⋊C4)⋊17C2 = C3×C23.9D6φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):17C2288,654
(C3×D6⋊C4)⋊18C2 = C3×C23.21D6φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):18C2288,657
(C3×D6⋊C4)⋊19C2 = C3×C12⋊D4φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4):19C2288,666
(C3×D6⋊C4)⋊20C2 = C62.49C23φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4):20C2288,527
(C3×D6⋊C4)⋊21C2 = Dic3⋊4D12φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):21C2288,528
(C3×D6⋊C4)⋊22C2 = C62.51C23φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):22C2288,529
(C3×D6⋊C4)⋊23C2 = C62.72C23φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4):23C2288,550
(C3×D6⋊C4)⋊24C2 = S3×D6⋊C4φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):24C2288,568
(C3×D6⋊C4)⋊25C2 = C62.91C23φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):25C2288,569
(C3×D6⋊C4)⋊26C2 = C3×S3×C22⋊C4φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):26C2288,651
(C3×D6⋊C4)⋊27C2 = C3×Dic3⋊4D4φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):27C2288,652
(C3×D6⋊C4)⋊28C2 = C3×Dic3⋊5D4φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4):28C2288,664
(C3×D6⋊C4)⋊29C2 = C3×Dic3⋊D4φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):29C2288,655
(C3×D6⋊C4)⋊30C2 = C3×C23.11D6φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):30C2288,656
(C3×D6⋊C4)⋊31C2 = C3×D6.D4φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4):31C2288,665
(C3×D6⋊C4)⋊32C2 = C3×C42⋊7S3φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4):32C2288,646
(C3×D6⋊C4)⋊33C2 = C3×C23.28D6φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):33C2288,700
(C3×D6⋊C4)⋊34C2 = C3×C12⋊7D4φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):34C2288,701
(C3×D6⋊C4)⋊35C2 = C3×C23⋊2D6φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):35C2288,708
(C3×D6⋊C4)⋊36C2 = C3×C23.14D6φ: C2/C1 → C2 ⊆ Out C3×D6⋊C448(C3xD6:C4):36C2288,710
(C3×D6⋊C4)⋊37C2 = C3×C12.23D4φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4):37C2288,718
(C3×D6⋊C4)⋊38C2 = C12×D12φ: trivial image96(C3xD6:C4):38C2288,644
(C3×D6⋊C4)⋊39C2 = C12×C3⋊D4φ: trivial image48(C3xD6:C4):39C2288,699

Non-split extensions G=N.Q with N=C3×D6⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×D6⋊C4).1C2 = D6⋊2Dic6φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4).1C2288,541
(C3×D6⋊C4).2C2 = D6⋊3Dic6φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4).2C2288,544
(C3×D6⋊C4).3C2 = C62.29C23φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4).3C2288,507
(C3×D6⋊C4).4C2 = C62.31C23φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4).4C2288,509
(C3×D6⋊C4).5C2 = C62.32C23φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4).5C2288,510
(C3×D6⋊C4).6C2 = C62.28C23φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4).6C2288,506
(C3×D6⋊C4).7C2 = D6⋊1Dic6φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4).7C2288,535
(C3×D6⋊C4).8C2 = D6⋊4Dic6φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4).8C2288,547
(C3×D6⋊C4).9C2 = C3×C4.D12φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4).9C2288,668
(C3×D6⋊C4).10C2 = C62.47C23φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4).10C2288,525
(C3×D6⋊C4).11C2 = C62.48C23φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4).11C2288,526
(C3×D6⋊C4).12C2 = C3×C4⋊C4⋊7S3φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4).12C2288,663
(C3×D6⋊C4).13C2 = C3×C4⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4).13C2288,669
(C3×D6⋊C4).14C2 = C3×C42⋊3S3φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4).14C2288,647
(C3×D6⋊C4).15C2 = C3×D6⋊Q8φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4).15C2288,667
(C3×D6⋊C4).16C2 = C3×D6⋊3Q8φ: C2/C1 → C2 ⊆ Out C3×D6⋊C496(C3xD6:C4).16C2288,717
(C3×D6⋊C4).17C2 = C3×C42⋊2S3φ: trivial image96(C3xD6:C4).17C2288,643

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