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Extensions 1→N→G→Q→1 with N=D4×C3×C6 and Q=C2

Direct product G=N×Q with N=D4×C3×C6 and Q=C2
dρLabelID
D4×C62144D4xC6^2288,1019

Semidirect products G=N:Q with N=D4×C3×C6 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4×C3×C6)⋊1C2 = C6×D4⋊S3φ: C2/C1 → C2 ⊆ Out D4×C3×C648(D4xC3xC6):1C2288,702
(D4×C3×C6)⋊2C2 = C3×D12⋊6C22φ: C2/C1 → C2 ⊆ Out D4×C3×C6244(D4xC3xC6):2C2288,703
(D4×C3×C6)⋊3C2 = C3×D6⋊3D4φ: C2/C1 → C2 ⊆ Out D4×C3×C648(D4xC3xC6):3C2288,709
(D4×C3×C6)⋊4C2 = C3×C12⋊3D4φ: C2/C1 → C2 ⊆ Out D4×C3×C648(D4xC3xC6):4C2288,711
(D4×C3×C6)⋊5C2 = C2×C32⋊7D8φ: C2/C1 → C2 ⊆ Out D4×C3×C6144(D4xC3xC6):5C2288,788
(D4×C3×C6)⋊6C2 = C62.131D4φ: C2/C1 → C2 ⊆ Out D4×C3×C672(D4xC3xC6):6C2288,789
(D4×C3×C6)⋊7C2 = C62.256C23φ: C2/C1 → C2 ⊆ Out D4×C3×C6144(D4xC3xC6):7C2288,795
(D4×C3×C6)⋊8C2 = C62.258C23φ: C2/C1 → C2 ⊆ Out D4×C3×C6144(D4xC3xC6):8C2288,797
(D4×C3×C6)⋊9C2 = S3×C6×D4φ: C2/C1 → C2 ⊆ Out D4×C3×C648(D4xC3xC6):9C2288,992
(D4×C3×C6)⋊10C2 = C6×D4⋊2S3φ: C2/C1 → C2 ⊆ Out D4×C3×C648(D4xC3xC6):10C2288,993
(D4×C3×C6)⋊11C2 = C3×D4⋊6D6φ: C2/C1 → C2 ⊆ Out D4×C3×C6244(D4xC3xC6):11C2288,994
(D4×C3×C6)⋊12C2 = C2×D4×C3⋊S3φ: C2/C1 → C2 ⊆ Out D4×C3×C672(D4xC3xC6):12C2288,1007
(D4×C3×C6)⋊13C2 = C2×C12.D6φ: C2/C1 → C2 ⊆ Out D4×C3×C6144(D4xC3xC6):13C2288,1008
(D4×C3×C6)⋊14C2 = C32⋊82+ 1+4φ: C2/C1 → C2 ⊆ Out D4×C3×C672(D4xC3xC6):14C2288,1009
(D4×C3×C6)⋊15C2 = C3×C23⋊2D6φ: C2/C1 → C2 ⊆ Out D4×C3×C648(D4xC3xC6):15C2288,708
(D4×C3×C6)⋊16C2 = C3×C23.14D6φ: C2/C1 → C2 ⊆ Out D4×C3×C648(D4xC3xC6):16C2288,710
(D4×C3×C6)⋊17C2 = C62⋊13D4φ: C2/C1 → C2 ⊆ Out D4×C3×C672(D4xC3xC6):17C2288,794
(D4×C3×C6)⋊18C2 = C62⋊14D4φ: C2/C1 → C2 ⊆ Out D4×C3×C6144(D4xC3xC6):18C2288,796
(D4×C3×C6)⋊19C2 = C32×C22≀C2φ: C2/C1 → C2 ⊆ Out D4×C3×C672(D4xC3xC6):19C2288,817
(D4×C3×C6)⋊20C2 = C32×C4⋊D4φ: C2/C1 → C2 ⊆ Out D4×C3×C6144(D4xC3xC6):20C2288,818
(D4×C3×C6)⋊21C2 = C32×C4⋊1D4φ: C2/C1 → C2 ⊆ Out D4×C3×C6144(D4xC3xC6):21C2288,824
(D4×C3×C6)⋊22C2 = D8×C3×C6φ: C2/C1 → C2 ⊆ Out D4×C3×C6144(D4xC3xC6):22C2288,829
(D4×C3×C6)⋊23C2 = C32×C8⋊C22φ: C2/C1 → C2 ⊆ Out D4×C3×C672(D4xC3xC6):23C2288,833
(D4×C3×C6)⋊24C2 = C32×2+ 1+4φ: C2/C1 → C2 ⊆ Out D4×C3×C672(D4xC3xC6):24C2288,1022
(D4×C3×C6)⋊25C2 = C4○D4×C3×C6φ: trivial image144(D4xC3xC6):25C2288,1021

Non-split extensions G=N.Q with N=D4×C3×C6 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4×C3×C6).1C2 = C3×D4⋊Dic3φ: C2/C1 → C2 ⊆ Out D4×C3×C648(D4xC3xC6).1C2288,266
(D4×C3×C6).2C2 = C3×C12.D4φ: C2/C1 → C2 ⊆ Out D4×C3×C6244(D4xC3xC6).2C2288,267
(D4×C3×C6).3C2 = C62.116D4φ: C2/C1 → C2 ⊆ Out D4×C3×C6144(D4xC3xC6).3C2288,307
(D4×C3×C6).4C2 = (C6×D4).S3φ: C2/C1 → C2 ⊆ Out D4×C3×C672(D4xC3xC6).4C2288,308
(D4×C3×C6).5C2 = C6×D4.S3φ: C2/C1 → C2 ⊆ Out D4×C3×C648(D4xC3xC6).5C2288,704
(D4×C3×C6).6C2 = C3×D4×Dic3φ: C2/C1 → C2 ⊆ Out D4×C3×C648(D4xC3xC6).6C2288,705
(D4×C3×C6).7C2 = C3×C23.12D6φ: C2/C1 → C2 ⊆ Out D4×C3×C648(D4xC3xC6).7C2288,707
(D4×C3×C6).8C2 = C2×C32⋊9SD16φ: C2/C1 → C2 ⊆ Out D4×C3×C6144(D4xC3xC6).8C2288,790
(D4×C3×C6).9C2 = D4×C3⋊Dic3φ: C2/C1 → C2 ⊆ Out D4×C3×C6144(D4xC3xC6).9C2288,791
(D4×C3×C6).10C2 = C62.254C23φ: C2/C1 → C2 ⊆ Out D4×C3×C6144(D4xC3xC6).10C2288,793
(D4×C3×C6).11C2 = C3×C23.7D6φ: C2/C1 → C2 ⊆ Out D4×C3×C6244(D4xC3xC6).11C2288,268
(D4×C3×C6).12C2 = C62.38D4φ: C2/C1 → C2 ⊆ Out D4×C3×C672(D4xC3xC6).12C2288,309
(D4×C3×C6).13C2 = C32×C23⋊C4φ: C2/C1 → C2 ⊆ Out D4×C3×C672(D4xC3xC6).13C2288,317
(D4×C3×C6).14C2 = C32×C4.D4φ: C2/C1 → C2 ⊆ Out D4×C3×C672(D4xC3xC6).14C2288,318
(D4×C3×C6).15C2 = C32×D4⋊C4φ: C2/C1 → C2 ⊆ Out D4×C3×C6144(D4xC3xC6).15C2288,320
(D4×C3×C6).16C2 = C3×C23.23D6φ: C2/C1 → C2 ⊆ Out D4×C3×C648(D4xC3xC6).16C2288,706
(D4×C3×C6).17C2 = C62.72D4φ: C2/C1 → C2 ⊆ Out D4×C3×C6144(D4xC3xC6).17C2288,792
(D4×C3×C6).18C2 = C32×C22.D4φ: C2/C1 → C2 ⊆ Out D4×C3×C6144(D4xC3xC6).18C2288,820
(D4×C3×C6).19C2 = C32×C4.4D4φ: C2/C1 → C2 ⊆ Out D4×C3×C6144(D4xC3xC6).19C2288,821
(D4×C3×C6).20C2 = SD16×C3×C6φ: C2/C1 → C2 ⊆ Out D4×C3×C6144(D4xC3xC6).20C2288,830
(D4×C3×C6).21C2 = D4×C3×C12φ: trivial image144(D4xC3xC6).21C2288,815

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