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Extensions 1→N→G→Q→1 with N=C12×C3⋊S3 and Q=C2

Direct product G=N×Q with N=C12×C3⋊S3 and Q=C2
dρLabelID
C3⋊S3×C2×C12144C3:S3xC2xC12432,711

Semidirect products G=N:Q with N=C12×C3⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C12×C3⋊S3)⋊1C2 = C12.73S32φ: C2/C1 → C2 ⊆ Out C12×C3⋊S372(C12xC3:S3):1C2432,667
(C12×C3⋊S3)⋊2C2 = C12.95S32φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3):2C2432,689
(C12×C3⋊S3)⋊3C2 = C3×D12⋊S3φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3):3C2432,644
(C12×C3⋊S3)⋊4C2 = C3×D6⋊D6φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3):4C2432,650
(C12×C3⋊S3)⋊5C2 = (C3×D12)⋊S3φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3144(C12xC3:S3):5C2432,661
(C12×C3⋊S3)⋊6C2 = C12.40S32φ: C2/C1 → C2 ⊆ Out C12×C3⋊S372(C12xC3:S3):6C2432,665
(C12×C3⋊S3)⋊7C2 = C3⋊S3×D12φ: C2/C1 → C2 ⊆ Out C12×C3⋊S372(C12xC3:S3):7C2432,672
(C12×C3⋊S3)⋊8C2 = C12⋊S3⋊12S3φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3):8C2432,688
(C12×C3⋊S3)⋊9C2 = C12⋊3S32φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3):9C2432,691
(C12×C3⋊S3)⋊10C2 = C3×D4×C3⋊S3φ: C2/C1 → C2 ⊆ Out C12×C3⋊S372(C12xC3:S3):10C2432,714
(C12×C3⋊S3)⋊11C2 = C3×C12.D6φ: C2/C1 → C2 ⊆ Out C12×C3⋊S372(C12xC3:S3):11C2432,715
(C12×C3⋊S3)⋊12C2 = C3×C12.26D6φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3144(C12xC3:S3):12C2432,717
(C12×C3⋊S3)⋊13C2 = S32×C12φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3):13C2432,648
(C12×C3⋊S3)⋊14C2 = C4×S3×C3⋊S3φ: C2/C1 → C2 ⊆ Out C12×C3⋊S372(C12xC3:S3):14C2432,670
(C12×C3⋊S3)⋊15C2 = C4×C32⋊4D6φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3):15C2432,690
(C12×C3⋊S3)⋊16C2 = C3×D6.D6φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3):16C2432,646
(C12×C3⋊S3)⋊17C2 = C3×C12.59D6φ: C2/C1 → C2 ⊆ Out C12×C3⋊S372(C12xC3:S3):17C2432,713

Non-split extensions G=N.Q with N=C12×C3⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C12×C3⋊S3).1C2 = C33⋊8M4(2)φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3144(C12xC3:S3).1C2432,434
(C12×C3⋊S3).2C2 = C33⋊10M4(2)φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3).2C2432,456
(C12×C3⋊S3).3C2 = C33⋊4M4(2)φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3).3C2432,636
(C12×C3⋊S3).4C2 = C33⋊9(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3).4C2432,638
(C12×C3⋊S3).5C2 = C3×Dic3.D6φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3).5C2432,645
(C12×C3⋊S3).6C2 = C3⋊S3×Dic6φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3144(C12xC3:S3).6C2432,663
(C12×C3⋊S3).7C2 = C3⋊S3⋊4Dic6φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3).7C2432,687
(C12×C3⋊S3).8C2 = C3×Q8×C3⋊S3φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3144(C12xC3:S3).8C2432,716
(C12×C3⋊S3).9C2 = C3×C12.29D6φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3).9C2432,415
(C12×C3⋊S3).10C2 = C3⋊S3×C3⋊C8φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3144(C12xC3:S3).10C2432,431
(C12×C3⋊S3).11C2 = C12.93S32φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3).11C2432,455
(C12×C3⋊S3).12C2 = C3×C3⋊S3⋊3C8φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3).12C2432,628
(C12×C3⋊S3).13C2 = C12×C32⋊C4φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3).13C2432,630
(C12×C3⋊S3).14C2 = C33⋊7(C2×C8)φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3).14C2432,635
(C12×C3⋊S3).15C2 = C4×C33⋊C4φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3).15C2432,637
(C12×C3⋊S3).16C2 = C3×C12.31D6φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3).16C2432,417
(C12×C3⋊S3).17C2 = C3×C24⋊S3φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3144(C12xC3:S3).17C2432,481
(C12×C3⋊S3).18C2 = C3×C32⋊M4(2)φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3).18C2432,629
(C12×C3⋊S3).19C2 = C3×C4⋊(C32⋊C4)φ: C2/C1 → C2 ⊆ Out C12×C3⋊S3484(C12xC3:S3).19C2432,631
(C12×C3⋊S3).20C2 = C3⋊S3×C24φ: trivial image144(C12xC3:S3).20C2432,480

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