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Extensions 1→N→G→Q→1 with N=C8×C3⋊S3 and Q=C2

Direct product G=N×Q with N=C8×C3⋊S3 and Q=C2
dρLabelID
C2×C8×C3⋊S3144C2xC8xC3:S3288,756

Semidirect products G=N:Q with N=C8×C3⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C8×C3⋊S3)⋊1C2 = C24⋊4D6φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3484(C8xC3:S3):1C2288,445
(C8×C3⋊S3)⋊2C2 = D24⋊5S3φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3484(C8xC3:S3):2C2288,458
(C8×C3⋊S3)⋊3C2 = D8×C3⋊S3φ: C2/C1 → C2 ⊆ Out C8×C3⋊S372(C8xC3:S3):3C2288,767
(C8×C3⋊S3)⋊4C2 = C24.26D6φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3144(C8xC3:S3):4C2288,769
(C8×C3⋊S3)⋊5C2 = C24.28D6φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3144(C8xC3:S3):5C2288,776
(C8×C3⋊S3)⋊6C2 = C24⋊9D6φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3484(C8xC3:S3):6C2288,444
(C8×C3⋊S3)⋊7C2 = D12.2D6φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3484(C8xC3:S3):7C2288,457
(C8×C3⋊S3)⋊8C2 = SD16×C3⋊S3φ: C2/C1 → C2 ⊆ Out C8×C3⋊S372(C8xC3:S3):8C2288,770
(C8×C3⋊S3)⋊9C2 = C24.40D6φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3144(C8xC3:S3):9C2288,773
(C8×C3⋊S3)⋊10C2 = S32×C8φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3484(C8xC3:S3):10C2288,437
(C8×C3⋊S3)⋊11C2 = C24.63D6φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3484(C8xC3:S3):11C2288,451
(C8×C3⋊S3)⋊12C2 = C24.95D6φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3144(C8xC3:S3):12C2288,758
(C8×C3⋊S3)⋊13C2 = C24⋊D6φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3484(C8xC3:S3):13C2288,439
(C8×C3⋊S3)⋊14C2 = C24.D6φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3484(C8xC3:S3):14C2288,453
(C8×C3⋊S3)⋊15C2 = M4(2)×C3⋊S3φ: C2/C1 → C2 ⊆ Out C8×C3⋊S372(C8xC3:S3):15C2288,763
(C8×C3⋊S3)⋊16C2 = C24.47D6φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3144(C8xC3:S3):16C2288,764

Non-split extensions G=N.Q with N=C8×C3⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C8×C3⋊S3).1C2 = C24.23D6φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3484(C8xC3:S3).1C2288,450
(C8×C3⋊S3).2C2 = Q16×C3⋊S3φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3144(C8xC3:S3).2C2288,774
(C8×C3⋊S3).3C2 = C24.60D6φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3484(C8xC3:S3).3C2288,190
(C8×C3⋊S3).4C2 = C24.62D6φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3484(C8xC3:S3).4C2288,192
(C8×C3⋊S3).5C2 = C48⋊S3φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3144(C8xC3:S3).5C2288,273
(C8×C3⋊S3).6C2 = C3⋊S3⋊3C16φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3484(C8xC3:S3).6C2288,412
(C8×C3⋊S3).7C2 = C32⋊3M5(2)φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3484(C8xC3:S3).7C2288,413
(C8×C3⋊S3).8C2 = C8×C32⋊C4φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3484(C8xC3:S3).8C2288,414
(C8×C3⋊S3).9C2 = (C3×C24)⋊C4φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3484(C8xC3:S3).9C2288,415
(C8×C3⋊S3).10C2 = C8⋊(C32⋊C4)φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3484(C8xC3:S3).10C2288,416
(C8×C3⋊S3).11C2 = C3⋊S3.4D8φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3484(C8xC3:S3).11C2288,417
(C8×C3⋊S3).12C2 = (C3×C24).C4φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3484(C8xC3:S3).12C2288,418
(C8×C3⋊S3).13C2 = C8.(C32⋊C4)φ: C2/C1 → C2 ⊆ Out C8×C3⋊S3484(C8xC3:S3).13C2288,419
(C8×C3⋊S3).14C2 = C16×C3⋊S3φ: trivial image144(C8xC3:S3).14C2288,272

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