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Extensions 1→N→G→Q→1 with N=C3×C3⋊C8 and Q=C6

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

Semidirect products G=N:Q with N=C3×C3⋊C8 and Q=C6
extensionφ:Q→Out NdρLabelID
(C3×C3⋊C8)⋊1C6 = C3×C3⋊D24φ: C6/C3 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8):1C6432,419
(C3×C3⋊C8)⋊2C6 = C3×D12.S3φ: C6/C3 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8):2C6432,421
(C3×C3⋊C8)⋊3C6 = C3×C32⋊5SD16φ: C6/C3 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8):3C6432,422
(C3×C3⋊C8)⋊4C6 = C32×D4⋊S3φ: C6/C3 → C2 ⊆ Out C3×C3⋊C872(C3xC3:C8):4C6432,475
(C3×C3⋊C8)⋊5C6 = C3×S3×C3⋊C8φ: C6/C3 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8):5C6432,414
(C3×C3⋊C8)⋊6C6 = C3×C12.29D6φ: C6/C3 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8):6C6432,415
(C3×C3⋊C8)⋊7C6 = C3×D6.Dic3φ: C6/C3 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8):7C6432,416
(C3×C3⋊C8)⋊8C6 = C3×C12.31D6φ: C6/C3 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8):8C6432,417
(C3×C3⋊C8)⋊9C6 = C32×D4.S3φ: C6/C3 → C2 ⊆ Out C3×C3⋊C872(C3xC3:C8):9C6432,476
(C3×C3⋊C8)⋊10C6 = C32×Q8⋊2S3φ: C6/C3 → C2 ⊆ Out C3×C3⋊C8144(C3xC3:C8):10C6432,477
(C3×C3⋊C8)⋊11C6 = C32×C8⋊S3φ: C6/C3 → C2 ⊆ Out C3×C3⋊C8144(C3xC3:C8):11C6432,465
(C3×C3⋊C8)⋊12C6 = C32×C4.Dic3φ: C6/C3 → C2 ⊆ Out C3×C3⋊C872(C3xC3:C8):12C6432,470
(C3×C3⋊C8)⋊13C6 = S3×C3×C24φ: trivial image144(C3xC3:C8):13C6432,464

Non-split extensions G=N.Q with N=C3×C3⋊C8 and Q=C6
extensionφ:Q→Out NdρLabelID
(C3×C3⋊C8).1C6 = C3×C32⋊3Q16φ: C6/C3 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8).1C6432,424
(C3×C3⋊C8).2C6 = C9×D4⋊S3φ: C6/C3 → C2 ⊆ Out C3×C3⋊C8724(C3xC3:C8).2C6432,150
(C3×C3⋊C8).3C6 = C9×C3⋊Q16φ: C6/C3 → C2 ⊆ Out C3×C3⋊C81444(C3xC3:C8).3C6432,159
(C3×C3⋊C8).4C6 = C32×C3⋊Q16φ: C6/C3 → C2 ⊆ Out C3×C3⋊C8144(C3xC3:C8).4C6432,478
(C3×C3⋊C8).5C6 = C9×D4.S3φ: C6/C3 → C2 ⊆ Out C3×C3⋊C8724(C3xC3:C8).5C6432,151
(C3×C3⋊C8).6C6 = C9×Q8⋊2S3φ: C6/C3 → C2 ⊆ Out C3×C3⋊C81444(C3xC3:C8).6C6432,158
(C3×C3⋊C8).7C6 = C9×C8⋊S3φ: C6/C3 → C2 ⊆ Out C3×C3⋊C81442(C3xC3:C8).7C6432,110
(C3×C3⋊C8).8C6 = C9×C4.Dic3φ: C6/C3 → C2 ⊆ Out C3×C3⋊C8722(C3xC3:C8).8C6432,127
(C3×C3⋊C8).9C6 = S3×C72φ: trivial image1442(C3xC3:C8).9C6432,109
(C3×C3⋊C8).10C6 = C18×C3⋊C8φ: trivial image144(C3xC3:C8).10C6432,126

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