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Extensions 1→N→G→Q→1 with N=C32×C3⋊C8 and Q=C2

Direct product G=N×Q with N=C32×C3⋊C8 and Q=C2
dρLabelID
C3×C6×C3⋊C8144C3xC6xC3:C8432,469

Semidirect products G=N:Q with N=C32×C3⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C32×C3⋊C8)⋊1C2 = C33⋊8D8φ: C2/C1 → C2 ⊆ Out C32×C3⋊C872(C3^2xC3:C8):1C2432,438
(C32×C3⋊C8)⋊2C2 = C3×C3⋊D24φ: C2/C1 → C2 ⊆ Out C32×C3⋊C8484(C3^2xC3:C8):2C2432,419
(C32×C3⋊C8)⋊3C2 = C33⋊16SD16φ: C2/C1 → C2 ⊆ Out C32×C3⋊C8144(C3^2xC3:C8):3C2432,443
(C32×C3⋊C8)⋊4C2 = C33⋊17SD16φ: C2/C1 → C2 ⊆ Out C32×C3⋊C872(C3^2xC3:C8):4C2432,444
(C32×C3⋊C8)⋊5C2 = C3×D12.S3φ: C2/C1 → C2 ⊆ Out C32×C3⋊C8484(C3^2xC3:C8):5C2432,421
(C32×C3⋊C8)⋊6C2 = C3×C32⋊5SD16φ: C2/C1 → C2 ⊆ Out C32×C3⋊C8484(C3^2xC3:C8):6C2432,422
(C32×C3⋊C8)⋊7C2 = C32×D4⋊S3φ: C2/C1 → C2 ⊆ Out C32×C3⋊C872(C3^2xC3:C8):7C2432,475
(C32×C3⋊C8)⋊8C2 = C3×S3×C3⋊C8φ: C2/C1 → C2 ⊆ Out C32×C3⋊C8484(C3^2xC3:C8):8C2432,414
(C32×C3⋊C8)⋊9C2 = C3×C12.29D6φ: C2/C1 → C2 ⊆ Out C32×C3⋊C8484(C3^2xC3:C8):9C2432,415
(C32×C3⋊C8)⋊10C2 = C3⋊S3×C3⋊C8φ: C2/C1 → C2 ⊆ Out C32×C3⋊C8144(C3^2xC3:C8):10C2432,431
(C32×C3⋊C8)⋊11C2 = C12.69S32φ: C2/C1 → C2 ⊆ Out C32×C3⋊C872(C3^2xC3:C8):11C2432,432
(C32×C3⋊C8)⋊12C2 = C33⋊8M4(2)φ: C2/C1 → C2 ⊆ Out C32×C3⋊C8144(C3^2xC3:C8):12C2432,434
(C32×C3⋊C8)⋊13C2 = C33⋊9M4(2)φ: C2/C1 → C2 ⊆ Out C32×C3⋊C872(C3^2xC3:C8):13C2432,435
(C32×C3⋊C8)⋊14C2 = C3×D6.Dic3φ: C2/C1 → C2 ⊆ Out C32×C3⋊C8484(C3^2xC3:C8):14C2432,416
(C32×C3⋊C8)⋊15C2 = C3×C12.31D6φ: C2/C1 → C2 ⊆ Out C32×C3⋊C8484(C3^2xC3:C8):15C2432,417
(C32×C3⋊C8)⋊16C2 = C32×D4.S3φ: C2/C1 → C2 ⊆ Out C32×C3⋊C872(C3^2xC3:C8):16C2432,476
(C32×C3⋊C8)⋊17C2 = C32×Q8⋊2S3φ: C2/C1 → C2 ⊆ Out C32×C3⋊C8144(C3^2xC3:C8):17C2432,477
(C32×C3⋊C8)⋊18C2 = C32×C8⋊S3φ: C2/C1 → C2 ⊆ Out C32×C3⋊C8144(C3^2xC3:C8):18C2432,465
(C32×C3⋊C8)⋊19C2 = C32×C4.Dic3φ: C2/C1 → C2 ⊆ Out C32×C3⋊C872(C3^2xC3:C8):19C2432,470
(C32×C3⋊C8)⋊20C2 = S3×C3×C24φ: trivial image144(C3^2xC3:C8):20C2432,464

Non-split extensions G=N.Q with N=C32×C3⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C32×C3⋊C8).1C2 = C33⋊8Q16φ: C2/C1 → C2 ⊆ Out C32×C3⋊C8144(C3^2xC3:C8).1C2432,447
(C32×C3⋊C8).2C2 = C3×C32⋊3Q16φ: C2/C1 → C2 ⊆ Out C32×C3⋊C8484(C3^2xC3:C8).2C2432,424
(C32×C3⋊C8).3C2 = C32×C3⋊Q16φ: C2/C1 → C2 ⊆ Out C32×C3⋊C8144(C3^2xC3:C8).3C2432,478

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