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Extensions 1→N→G→Q→1 with N=C6×C3⋊Dic3 and Q=C2

Direct product G=N×Q with N=C6×C3⋊Dic3 and Q=C2
dρLabelID
C2×C6×C3⋊Dic3144C2xC6xC3:Dic3432,718

Semidirect products G=N:Q with N=C6×C3⋊Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×C3⋊Dic3)⋊1C2 = C3×D6⋊Dic3φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic348(C6xC3:Dic3):1C2432,426
(C6×C3⋊Dic3)⋊2C2 = C62.77D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic3144(C6xC3:Dic3):2C2432,449
(C6×C3⋊Dic3)⋊3C2 = C62.79D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic372(C6xC3:Dic3):3C2432,451
(C6×C3⋊Dic3)⋊4C2 = C62.84D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic348(C6xC3:Dic3):4C2432,461
(C6×C3⋊Dic3)⋊5C2 = C3×C6.11D12φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic3144(C6xC3:Dic3):5C2432,490
(C6×C3⋊Dic3)⋊6C2 = C3×C62⋊5C4φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic372(C6xC3:Dic3):6C2432,495
(C6×C3⋊Dic3)⋊7C2 = S3×C6×Dic3φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic348(C6xC3:Dic3):7C2432,651
(C6×C3⋊Dic3)⋊8C2 = C2×C33⋊7D4φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic372(C6xC3:Dic3):8C2432,681
(C6×C3⋊Dic3)⋊9C2 = C2×C33⋊9D4φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic348(C6xC3:Dic3):9C2432,694
(C6×C3⋊Dic3)⋊10C2 = C62.90D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic372(C6xC3:Dic3):10C2432,675
(C6×C3⋊Dic3)⋊11C2 = C62.96D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic3244(C6xC3:Dic3):11C2432,693
(C6×C3⋊Dic3)⋊12C2 = C2×S3×C3⋊Dic3φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic3144(C6xC3:Dic3):12C2432,674
(C6×C3⋊Dic3)⋊13C2 = C2×C33⋊8(C2×C4)φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic372(C6xC3:Dic3):13C2432,679
(C6×C3⋊Dic3)⋊14C2 = C2×C33⋊9(C2×C4)φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic348(C6xC3:Dic3):14C2432,692
(C6×C3⋊Dic3)⋊15C2 = C3×D6.4D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic3244(C6xC3:Dic3):15C2432,653
(C6×C3⋊Dic3)⋊16C2 = C6×D6⋊S3φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic348(C6xC3:Dic3):16C2432,655
(C6×C3⋊Dic3)⋊17C2 = C3×C12.D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic372(C6xC3:Dic3):17C2432,715
(C6×C3⋊Dic3)⋊18C2 = C6×C32⋊7D4φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic372(C6xC3:Dic3):18C2432,719
(C6×C3⋊Dic3)⋊19C2 = C3⋊S3×C2×C12φ: trivial image144(C6xC3:Dic3):19C2432,711

Non-split extensions G=N.Q with N=C6×C3⋊Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×C3⋊Dic3).1C2 = C3×Dic32φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic348(C6xC3:Dic3).1C2432,425
(C6×C3⋊Dic3).2C2 = C3×Dic3⋊Dic3φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic348(C6xC3:Dic3).2C2432,428
(C6×C3⋊Dic3).3C2 = C62.80D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic3144(C6xC3:Dic3).3C2432,452
(C6×C3⋊Dic3).4C2 = C62.81D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic3144(C6xC3:Dic3).4C2432,453
(C6×C3⋊Dic3).5C2 = C3×C12⋊Dic3φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic3144(C6xC3:Dic3).5C2432,489
(C6×C3⋊Dic3).6C2 = C6×C32⋊2C8φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic348(C6xC3:Dic3).6C2432,632
(C6×C3⋊Dic3).7C2 = C62.82D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic3144(C6xC3:Dic3).7C2432,454
(C6×C3⋊Dic3).8C2 = C62.85D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic348(C6xC3:Dic3).8C2432,462
(C6×C3⋊Dic3).9C2 = C2×C33⋊4Q8φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic3144(C6xC3:Dic3).9C2432,683
(C6×C3⋊Dic3).10C2 = C2×C33⋊5Q8φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic348(C6xC3:Dic3).10C2432,695
(C6×C3⋊Dic3).11C2 = C33⋊12M4(2)φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic3244(C6xC3:Dic3).11C2432,640
(C6×C3⋊Dic3).12C2 = Dic3×C3⋊Dic3φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic3144(C6xC3:Dic3).12C2432,448
(C6×C3⋊Dic3).13C2 = C33⋊6C42φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic348(C6xC3:Dic3).13C2432,460
(C6×C3⋊Dic3).14C2 = C2×C33⋊4C8φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic348(C6xC3:Dic3).14C2432,639
(C6×C3⋊Dic3).15C2 = C3×C62.C22φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic348(C6xC3:Dic3).15C2432,429
(C6×C3⋊Dic3).16C2 = C3×C6.Dic6φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic3144(C6xC3:Dic3).16C2432,488
(C6×C3⋊Dic3).17C2 = C3×C62.C4φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic3244(C6xC3:Dic3).17C2432,633
(C6×C3⋊Dic3).18C2 = C6×C32⋊2Q8φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic348(C6xC3:Dic3).18C2432,657
(C6×C3⋊Dic3).19C2 = C6×C32⋊4Q8φ: C2/C1 → C2 ⊆ Out C6×C3⋊Dic3144(C6xC3:Dic3).19C2432,710
(C6×C3⋊Dic3).20C2 = C12×C3⋊Dic3φ: trivial image144(C6xC3:Dic3).20C2432,487

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