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

Direct product G=N×Q with N=C3×C3⋊C8 and Q=S3
dρLabelID
C3×S3×C3⋊C8484C3xS3xC3:C8432,414

Semidirect products G=N:Q with N=C3×C3⋊C8 and Q=S3
extensionφ:Q→Out NdρLabelID
(C3×C3⋊C8)⋊1S3 = C33⋊8D8φ: S3/C3 → C2 ⊆ Out C3×C3⋊C872(C3xC3:C8):1S3432,438
(C3×C3⋊C8)⋊2S3 = C33⋊16SD16φ: S3/C3 → C2 ⊆ Out C3×C3⋊C8144(C3xC3:C8):2S3432,443
(C3×C3⋊C8)⋊3S3 = C33⋊17SD16φ: S3/C3 → C2 ⊆ Out C3×C3⋊C872(C3xC3:C8):3S3432,444
(C3×C3⋊C8)⋊4S3 = C3×C3⋊D24φ: S3/C3 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8):4S3432,419
(C3×C3⋊C8)⋊5S3 = C3⋊S3×C3⋊C8φ: S3/C3 → C2 ⊆ Out C3×C3⋊C8144(C3xC3:C8):5S3432,431
(C3×C3⋊C8)⋊6S3 = C12.69S32φ: S3/C3 → C2 ⊆ Out C3×C3⋊C872(C3xC3:C8):6S3432,432
(C3×C3⋊C8)⋊7S3 = C33⋊8M4(2)φ: S3/C3 → C2 ⊆ Out C3×C3⋊C8144(C3xC3:C8):7S3432,434
(C3×C3⋊C8)⋊8S3 = C33⋊9M4(2)φ: S3/C3 → C2 ⊆ Out C3×C3⋊C872(C3xC3:C8):8S3432,435
(C3×C3⋊C8)⋊9S3 = C3×D12.S3φ: S3/C3 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8):9S3432,421
(C3×C3⋊C8)⋊10S3 = C3×C32⋊5SD16φ: S3/C3 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8):10S3432,422
(C3×C3⋊C8)⋊11S3 = C3×D6.Dic3φ: S3/C3 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8):11S3432,416
(C3×C3⋊C8)⋊12S3 = C3×C12.31D6φ: S3/C3 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8):12S3432,417
(C3×C3⋊C8)⋊13S3 = C3×C12.29D6φ: trivial image484(C3xC3:C8):13S3432,415

Non-split extensions G=N.Q with N=C3×C3⋊C8 and Q=S3
extensionφ:Q→Out NdρLabelID
(C3×C3⋊C8).1S3 = C3⋊D72φ: S3/C3 → C2 ⊆ Out C3×C3⋊C8724+(C3xC3:C8).1S3432,64
(C3×C3⋊C8).2S3 = C3⋊Dic36φ: S3/C3 → C2 ⊆ Out C3×C3⋊C81444-(C3xC3:C8).2S3432,65
(C3×C3⋊C8).3S3 = C33⋊8Q16φ: S3/C3 → C2 ⊆ Out C3×C3⋊C8144(C3xC3:C8).3S3432,447
(C3×C3⋊C8).4S3 = D36.S3φ: S3/C3 → C2 ⊆ Out C3×C3⋊C81444-(C3xC3:C8).4S3432,62
(C3×C3⋊C8).5S3 = C6.D36φ: S3/C3 → C2 ⊆ Out C3×C3⋊C8724+(C3xC3:C8).5S3432,63
(C3×C3⋊C8).6S3 = C3×C32⋊3Q16φ: S3/C3 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8).6S3432,424
(C3×C3⋊C8).7S3 = D9×C3⋊C8φ: S3/C3 → C2 ⊆ Out C3×C3⋊C81444(C3xC3:C8).7S3432,58
(C3×C3⋊C8).8S3 = C36.38D6φ: S3/C3 → C2 ⊆ Out C3×C3⋊C8724(C3xC3:C8).8S3432,59
(C3×C3⋊C8).9S3 = C36.39D6φ: S3/C3 → C2 ⊆ Out C3×C3⋊C81444(C3xC3:C8).9S3432,60
(C3×C3⋊C8).10S3 = C36.40D6φ: S3/C3 → C2 ⊆ Out C3×C3⋊C8724(C3xC3:C8).10S3432,61

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