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

Direct product G=N×Q with N=C3×C12⋊S3 and Q=C2
dρLabelID
C6×C12⋊S3144C6xC12:S3432,712

Semidirect products G=N:Q with N=C3×C12⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C12⋊S3)⋊1C2 = C3×C3⋊D24φ: C2/C1 → C2 ⊆ Out C3×C12⋊S3484(C3xC12:S3):1C2432,419
(C3×C12⋊S3)⋊2C2 = C33⋊6D8φ: C2/C1 → C2 ⊆ Out C3×C12⋊S3144(C3xC12:S3):2C2432,436
(C3×C12⋊S3)⋊3C2 = C33⋊8D8φ: C2/C1 → C2 ⊆ Out C3×C12⋊S372(C3xC12:S3):3C2432,438
(C3×C12⋊S3)⋊4C2 = C33⋊9D8φ: C2/C1 → C2 ⊆ Out C3×C12⋊S3484(C3xC12:S3):4C2432,457
(C3×C12⋊S3)⋊5C2 = C3×C32⋊7D8φ: C2/C1 → C2 ⊆ Out C3×C12⋊S372(C3xC12:S3):5C2432,491
(C3×C12⋊S3)⋊6C2 = C3×D6.6D6φ: C2/C1 → C2 ⊆ Out C3×C12⋊S3484(C3xC12:S3):6C2432,647
(C3×C12⋊S3)⋊7C2 = C3×S3×D12φ: C2/C1 → C2 ⊆ Out C3×C12⋊S3484(C3xC12:S3):7C2432,649
(C3×C12⋊S3)⋊8C2 = C12.39S32φ: C2/C1 → C2 ⊆ Out C3×C12⋊S372(C3xC12:S3):8C2432,664
(C3×C12⋊S3)⋊9C2 = C12.57S32φ: C2/C1 → C2 ⊆ Out C3×C12⋊S3144(C3xC12:S3):9C2432,668
(C3×C12⋊S3)⋊10C2 = S3×C12⋊S3φ: C2/C1 → C2 ⊆ Out C3×C12⋊S372(C3xC12:S3):10C2432,671
(C3×C12⋊S3)⋊11C2 = C12⋊S32φ: C2/C1 → C2 ⊆ Out C3×C12⋊S372(C3xC12:S3):11C2432,673
(C3×C12⋊S3)⋊12C2 = C12⋊S3⋊12S3φ: C2/C1 → C2 ⊆ Out C3×C12⋊S3484(C3xC12:S3):12C2432,688
(C3×C12⋊S3)⋊13C2 = C12⋊3S32φ: C2/C1 → C2 ⊆ Out C3×C12⋊S3484(C3xC12:S3):13C2432,691
(C3×C12⋊S3)⋊14C2 = C3×D4×C3⋊S3φ: C2/C1 → C2 ⊆ Out C3×C12⋊S372(C3xC12:S3):14C2432,714
(C3×C12⋊S3)⋊15C2 = C3×C12.26D6φ: C2/C1 → C2 ⊆ Out C3×C12⋊S3144(C3xC12:S3):15C2432,717
(C3×C12⋊S3)⋊16C2 = C3×C32⋊5D8φ: C2/C1 → C2 ⊆ Out C3×C12⋊S3144(C3xC12:S3):16C2432,483
(C3×C12⋊S3)⋊17C2 = C3×C12.59D6φ: trivial image72(C3xC12:S3):17C2432,713

Non-split extensions G=N.Q with N=C3×C12⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C12⋊S3).1C2 = C3×C32⋊5SD16φ: C2/C1 → C2 ⊆ Out C3×C12⋊S3484(C3xC12:S3).1C2432,422
(C3×C12⋊S3).2C2 = C33⋊13SD16φ: C2/C1 → C2 ⊆ Out C3×C12⋊S3144(C3xC12:S3).2C2432,440
(C3×C12⋊S3).3C2 = C33⋊16SD16φ: C2/C1 → C2 ⊆ Out C3×C12⋊S3144(C3xC12:S3).3C2432,443
(C3×C12⋊S3).4C2 = C33⋊18SD16φ: C2/C1 → C2 ⊆ Out C3×C12⋊S3484(C3xC12:S3).4C2432,458
(C3×C12⋊S3).5C2 = C3×C32⋊11SD16φ: C2/C1 → C2 ⊆ Out C3×C12⋊S3144(C3xC12:S3).5C2432,493
(C3×C12⋊S3).6C2 = C3×C24⋊2S3φ: C2/C1 → C2 ⊆ Out C3×C12⋊S3144(C3xC12:S3).6C2432,482

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