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

Direct product G=N×Q with N=C2×C3⋊C8 and Q=S3
dρLabelID
C2×S3×C3⋊C896C2xS3xC3:C8288,460

Semidirect products G=N:Q with N=C2×C3⋊C8 and Q=S3
extensionφ:Q→Out NdρLabelID
(C2×C3⋊C8)⋊1S3 = C6.16D24φ: S3/C3 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8):1S3288,211
(C2×C3⋊C8)⋊2S3 = C6.17D24φ: S3/C3 → C2 ⊆ Out C2×C3⋊C848(C2xC3:C8):2S3288,212
(C2×C3⋊C8)⋊3S3 = D12.2Dic3φ: S3/C3 → C2 ⊆ Out C2×C3⋊C8484(C2xC3:C8):3S3288,462
(C2×C3⋊C8)⋊4S3 = C3⋊C8.22D6φ: S3/C3 → C2 ⊆ Out C2×C3⋊C8484(C2xC3:C8):4S3288,465
(C2×C3⋊C8)⋊5S3 = C2×C3⋊D24φ: S3/C3 → C2 ⊆ Out C2×C3⋊C848(C2xC3:C8):5S3288,472
(C2×C3⋊C8)⋊6S3 = C2×D12.S3φ: S3/C3 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8):6S3288,476
(C2×C3⋊C8)⋊7S3 = D12.27D6φ: S3/C3 → C2 ⊆ Out C2×C3⋊C8484(C2xC3:C8):7S3288,477
(C2×C3⋊C8)⋊8S3 = C2×C32⋊5SD16φ: S3/C3 → C2 ⊆ Out C2×C3⋊C848(C2xC3:C8):8S3288,480
(C2×C3⋊C8)⋊9S3 = C12.77D12φ: S3/C3 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8):9S3288,204
(C2×C3⋊C8)⋊10S3 = C12.78D12φ: S3/C3 → C2 ⊆ Out C2×C3⋊C848(C2xC3:C8):10S3288,205
(C2×C3⋊C8)⋊11S3 = C2×D6.Dic3φ: S3/C3 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8):11S3288,467
(C2×C3⋊C8)⋊12S3 = C2×C12.31D6φ: S3/C3 → C2 ⊆ Out C2×C3⋊C848(C2xC3:C8):12S3288,468
(C2×C3⋊C8)⋊13S3 = C2×C12.29D6φ: trivial image48(C2xC3:C8):13S3288,464

Non-split extensions G=N.Q with N=C2×C3⋊C8 and Q=S3
extensionφ:Q→Out NdρLabelID
(C2×C3⋊C8).1S3 = C6.Dic12φ: S3/C3 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).1S3288,214
(C2×C3⋊C8).2S3 = C12.73D12φ: S3/C3 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).2S3288,215
(C2×C3⋊C8).3S3 = C12.Dic6φ: S3/C3 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).3S3288,221
(C2×C3⋊C8).4S3 = C6.18D24φ: S3/C3 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).4S3288,223
(C2×C3⋊C8).5S3 = C12.82D12φ: S3/C3 → C2 ⊆ Out C2×C3⋊C8484(C2xC3:C8).5S3288,225
(C2×C3⋊C8).6S3 = C2×C32⋊3Q16φ: S3/C3 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).6S3288,483
(C2×C3⋊C8).7S3 = C3⋊C8⋊Dic3φ: S3/C3 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).7S3288,202
(C2×C3⋊C8).8S3 = C2.Dic32φ: S3/C3 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).8S3288,203
(C2×C3⋊C8).9S3 = C12.81D12φ: S3/C3 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).9S3288,219
(C2×C3⋊C8).10S3 = C12.15Dic6φ: S3/C3 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).10S3288,220
(C2×C3⋊C8).11S3 = Dic3×C3⋊C8φ: trivial image96(C2xC3:C8).11S3288,200
(C2×C3⋊C8).12S3 = C6.(S3×C8)φ: trivial image96(C2xC3:C8).12S3288,201

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