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Extensions 1→N→G→Q→1 with N=C2×C3⋊Dic3 and Q=C6

Direct product G=N×Q with N=C2×C3⋊Dic3 and Q=C6
dρLabelID
C2×C6×C3⋊Dic3144C2xC6xC3:Dic3432,718

Semidirect products G=N:Q with N=C2×C3⋊Dic3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×C3⋊Dic3)⋊1C6 = C62.21D6φ: C6/C1 → C6 ⊆ Out C2×C3⋊Dic372(C2xC3:Dic3):1C6432,141
(C2×C3⋊Dic3)⋊2C6 = C62⋊3C12φ: C6/C1 → C6 ⊆ Out C2×C3⋊Dic372(C2xC3:Dic3):2C6432,166
(C2×C3⋊Dic3)⋊3C6 = C62.13D6φ: C6/C1 → C6 ⊆ Out C2×C3⋊Dic37212-(C2xC3:Dic3):3C6432,361
(C2×C3⋊Dic3)⋊4C6 = C2×He3⋊6D4φ: C6/C1 → C6 ⊆ Out C2×C3⋊Dic372(C2xC3:Dic3):4C6432,377
(C2×C3⋊Dic3)⋊5C6 = C2×C4×C32⋊C6φ: C6/C2 → C3 ⊆ Out C2×C3⋊Dic372(C2xC3:Dic3):5C6432,349
(C2×C3⋊Dic3)⋊6C6 = C22×C32⋊C12φ: C6/C2 → C3 ⊆ Out C2×C3⋊Dic3144(C2xC3:Dic3):6C6432,376
(C2×C3⋊Dic3)⋊7C6 = C3×D6⋊Dic3φ: C6/C3 → C2 ⊆ Out C2×C3⋊Dic348(C2xC3:Dic3):7C6432,426
(C2×C3⋊Dic3)⋊8C6 = C3×C6.11D12φ: C6/C3 → C2 ⊆ Out C2×C3⋊Dic3144(C2xC3:Dic3):8C6432,490
(C2×C3⋊Dic3)⋊9C6 = C3×C62⋊5C4φ: C6/C3 → C2 ⊆ Out C2×C3⋊Dic372(C2xC3:Dic3):9C6432,495
(C2×C3⋊Dic3)⋊10C6 = S3×C6×Dic3φ: C6/C3 → C2 ⊆ Out C2×C3⋊Dic348(C2xC3:Dic3):10C6432,651
(C2×C3⋊Dic3)⋊11C6 = C3×D6.4D6φ: C6/C3 → C2 ⊆ Out C2×C3⋊Dic3244(C2xC3:Dic3):11C6432,653
(C2×C3⋊Dic3)⋊12C6 = C6×D6⋊S3φ: C6/C3 → C2 ⊆ Out C2×C3⋊Dic348(C2xC3:Dic3):12C6432,655
(C2×C3⋊Dic3)⋊13C6 = C3×C12.D6φ: C6/C3 → C2 ⊆ Out C2×C3⋊Dic372(C2xC3:Dic3):13C6432,715
(C2×C3⋊Dic3)⋊14C6 = C6×C32⋊7D4φ: C6/C3 → C2 ⊆ Out C2×C3⋊Dic372(C2xC3:Dic3):14C6432,719
(C2×C3⋊Dic3)⋊15C6 = C3⋊S3×C2×C12φ: trivial image144(C2xC3:Dic3):15C6432,711

Non-split extensions G=N.Q with N=C2×C3⋊Dic3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×C3⋊Dic3).1C6 = C62.19D6φ: C6/C1 → C6 ⊆ Out C2×C3⋊Dic3144(C2xC3:Dic3).1C6432,139
(C2×C3⋊Dic3).2C6 = C62.20D6φ: C6/C1 → C6 ⊆ Out C2×C3⋊Dic3144(C2xC3:Dic3).2C6432,140
(C2×C3⋊Dic3).3C6 = C2×He3⋊3Q8φ: C6/C1 → C6 ⊆ Out C2×C3⋊Dic3144(C2xC3:Dic3).3C6432,348
(C2×C3⋊Dic3).4C6 = C4×C32⋊C12φ: C6/C2 → C3 ⊆ Out C2×C3⋊Dic3144(C2xC3:Dic3).4C6432,138
(C2×C3⋊Dic3).5C6 = C3×Dic32φ: C6/C3 → C2 ⊆ Out C2×C3⋊Dic348(C2xC3:Dic3).5C6432,425
(C2×C3⋊Dic3).6C6 = C3×Dic3⋊Dic3φ: C6/C3 → C2 ⊆ Out C2×C3⋊Dic348(C2xC3:Dic3).6C6432,428
(C2×C3⋊Dic3).7C6 = C3×C62.C22φ: C6/C3 → C2 ⊆ Out C2×C3⋊Dic348(C2xC3:Dic3).7C6432,429
(C2×C3⋊Dic3).8C6 = C3×C6.Dic6φ: C6/C3 → C2 ⊆ Out C2×C3⋊Dic3144(C2xC3:Dic3).8C6432,488
(C2×C3⋊Dic3).9C6 = C3×C12⋊Dic3φ: C6/C3 → C2 ⊆ Out C2×C3⋊Dic3144(C2xC3:Dic3).9C6432,489
(C2×C3⋊Dic3).10C6 = C6×C32⋊2C8φ: C6/C3 → C2 ⊆ Out C2×C3⋊Dic348(C2xC3:Dic3).10C6432,632
(C2×C3⋊Dic3).11C6 = C3×C62.C4φ: C6/C3 → C2 ⊆ Out C2×C3⋊Dic3244(C2xC3:Dic3).11C6432,633
(C2×C3⋊Dic3).12C6 = C6×C32⋊2Q8φ: C6/C3 → C2 ⊆ Out C2×C3⋊Dic348(C2xC3:Dic3).12C6432,657
(C2×C3⋊Dic3).13C6 = C6×C32⋊4Q8φ: C6/C3 → C2 ⊆ Out C2×C3⋊Dic3144(C2xC3:Dic3).13C6432,710
(C2×C3⋊Dic3).14C6 = C12×C3⋊Dic3φ: trivial image144(C2xC3:Dic3).14C6432,487

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