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Extensions 1→N→G→Q→1 with N=C3×C3⋊Dic3 and Q=C4

Direct product G=N×Q with N=C3×C3⋊Dic3 and Q=C4
dρLabelID
C12×C3⋊Dic3144C12xC3:Dic3432,487

Semidirect products G=N:Q with N=C3×C3⋊Dic3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C3×C3⋊Dic3)⋊1C4 = C3×Dic32φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic348(C3xC3:Dic3):1C4432,425
(C3×C3⋊Dic3)⋊2C4 = C12×C32⋊C4φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic3484(C3xC3:Dic3):2C4432,630
(C3×C3⋊Dic3)⋊3C4 = C62.82D6φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic3144(C3xC3:Dic3):3C4432,454
(C3×C3⋊Dic3)⋊4C4 = C62.85D6φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic348(C3xC3:Dic3):4C4432,462
(C3×C3⋊Dic3)⋊5C4 = C33⋊9(C4⋊C4)φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic3484(C3xC3:Dic3):5C4432,638
(C3×C3⋊Dic3)⋊6C4 = Dic3×C3⋊Dic3φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic3144(C3xC3:Dic3):6C4432,448
(C3×C3⋊Dic3)⋊7C4 = C33⋊6C42φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic348(C3xC3:Dic3):7C4432,460
(C3×C3⋊Dic3)⋊8C4 = C4×C33⋊C4φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic3484(C3xC3:Dic3):8C4432,637
(C3×C3⋊Dic3)⋊9C4 = C3×C62.C22φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic348(C3xC3:Dic3):9C4432,429
(C3×C3⋊Dic3)⋊10C4 = C3×C6.Dic6φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic3144(C3xC3:Dic3):10C4432,488
(C3×C3⋊Dic3)⋊11C4 = C3×C4⋊(C32⋊C4)φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic3484(C3xC3:Dic3):11C4432,631

Non-split extensions G=N.Q with N=C3×C3⋊Dic3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C3×C3⋊Dic3).1C4 = C3×C2.F9φ: C4/C1 → C4 ⊆ Out C3×C3⋊Dic3488(C3xC3:Dic3).1C4432,565
(C3×C3⋊Dic3).2C4 = C6.F9φ: C4/C1 → C4 ⊆ Out C3×C3⋊Dic3488(C3xC3:Dic3).2C4432,566
(C3×C3⋊Dic3).3C4 = C3×C12.29D6φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic3484(C3xC3:Dic3).3C4432,415
(C3×C3⋊Dic3).4C4 = C6×C32⋊2C8φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic348(C3xC3:Dic3).4C4432,632
(C3×C3⋊Dic3).5C4 = C33⋊8M4(2)φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic3144(C3xC3:Dic3).5C4432,434
(C3×C3⋊Dic3).6C4 = C33⋊10M4(2)φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic3484(C3xC3:Dic3).6C4432,456
(C3×C3⋊Dic3).7C4 = C33⋊12M4(2)φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic3244(C3xC3:Dic3).7C4432,640
(C3×C3⋊Dic3).8C4 = C3⋊S3×C3⋊C8φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic3144(C3xC3:Dic3).8C4432,431
(C3×C3⋊Dic3).9C4 = C12.93S32φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic3484(C3xC3:Dic3).9C4432,455
(C3×C3⋊Dic3).10C4 = C2×C33⋊4C8φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic348(C3xC3:Dic3).10C4432,639
(C3×C3⋊Dic3).11C4 = C3×C12.31D6φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic3484(C3xC3:Dic3).11C4432,417
(C3×C3⋊Dic3).12C4 = C3×C24⋊S3φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic3144(C3xC3:Dic3).12C4432,481
(C3×C3⋊Dic3).13C4 = C3×C62.C4φ: C4/C2 → C2 ⊆ Out C3×C3⋊Dic3244(C3xC3:Dic3).13C4432,633
(C3×C3⋊Dic3).14C4 = C3⋊S3×C24φ: trivial image144(C3xC3:Dic3).14C4432,480

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