# Extensions 1→N→G→Q→1 with N=D4×C14 and Q=C4

Direct product G=N×Q with N=D4×C14 and Q=C4
dρLabelID
D4×C2×C28224D4xC2xC28448,1298

Semidirect products G=N:Q with N=D4×C14 and Q=C4
extensionφ:Q→Out NdρLabelID
(D4×C14)⋊1C4 = (D4×C14)⋊C4φ: C4/C1C4 ⊆ Out D4×C14112(D4xC14):1C4448,94
(D4×C14)⋊2C4 = C423Dic7φ: C4/C1C4 ⊆ Out D4×C14564(D4xC14):2C4448,102
(D4×C14)⋊3C4 = C7×C22.SD16φ: C4/C1C4 ⊆ Out D4×C14112(D4xC14):3C4448,131
(D4×C14)⋊4C4 = C7×C42⋊C4φ: C4/C1C4 ⊆ Out D4×C14564(D4xC14):4C4448,157
(D4×C14)⋊5C4 = C2×D4⋊Dic7φ: C4/C2C2 ⊆ Out D4×C14224(D4xC14):5C4448,748
(D4×C14)⋊6C4 = (D4×C14)⋊6C4φ: C4/C2C2 ⊆ Out D4×C14112(D4xC14):6C4448,749
(D4×C14)⋊7C4 = C24.19D14φ: C4/C2C2 ⊆ Out D4×C14224(D4xC14):7C4448,755
(D4×C14)⋊8C4 = C2×D42Dic7φ: C4/C2C2 ⊆ Out D4×C14112(D4xC14):8C4448,769
(D4×C14)⋊9C4 = (D4×C14)⋊9C4φ: C4/C2C2 ⊆ Out D4×C141124(D4xC14):9C4448,770
(D4×C14)⋊10C4 = (D4×C14)⋊10C4φ: C4/C2C2 ⊆ Out D4×C141124(D4xC14):10C4448,774
(D4×C14)⋊11C4 = C2×D4×Dic7φ: C4/C2C2 ⊆ Out D4×C14224(D4xC14):11C4448,1248
(D4×C14)⋊12C4 = C24.38D14φ: C4/C2C2 ⊆ Out D4×C14112(D4xC14):12C4448,1251
(D4×C14)⋊13C4 = C2×C23⋊Dic7φ: C4/C2C2 ⊆ Out D4×C14112(D4xC14):13C4448,753
(D4×C14)⋊14C4 = C24.18D14φ: C4/C2C2 ⊆ Out D4×C14224(D4xC14):14C4448,754
(D4×C14)⋊15C4 = C7×C23.23D4φ: C4/C2C2 ⊆ Out D4×C14224(D4xC14):15C4448,794
(D4×C14)⋊16C4 = C7×C24.3C22φ: C4/C2C2 ⊆ Out D4×C14224(D4xC14):16C4448,798
(D4×C14)⋊17C4 = C14×C23⋊C4φ: C4/C2C2 ⊆ Out D4×C14112(D4xC14):17C4448,817
(D4×C14)⋊18C4 = C7×C23.C23φ: C4/C2C2 ⊆ Out D4×C141124(D4xC14):18C4448,818
(D4×C14)⋊19C4 = C14×D4⋊C4φ: C4/C2C2 ⊆ Out D4×C14224(D4xC14):19C4448,822
(D4×C14)⋊20C4 = C7×C23.37D4φ: C4/C2C2 ⊆ Out D4×C14112(D4xC14):20C4448,826
(D4×C14)⋊21C4 = C14×C4≀C2φ: C4/C2C2 ⊆ Out D4×C14112(D4xC14):21C4448,828
(D4×C14)⋊22C4 = C7×C42⋊C22φ: C4/C2C2 ⊆ Out D4×C141124(D4xC14):22C4448,829
(D4×C14)⋊23C4 = C7×C22.11C24φ: C4/C2C2 ⊆ Out D4×C14112(D4xC14):23C4448,1301

Non-split extensions G=N.Q with N=D4×C14 and Q=C4
extensionφ:Q→Out NdρLabelID
(D4×C14).1C4 = C42.7D14φ: C4/C1C4 ⊆ Out D4×C14224(D4xC14).1C4448,97
(D4×C14).2C4 = C42.Dic7φ: C4/C1C4 ⊆ Out D4×C141124(D4xC14).2C4448,99
(D4×C14).3C4 = C28.9D8φ: C4/C1C4 ⊆ Out D4×C14224(D4xC14).3C4448,101
(D4×C14).4C4 = C7×C42.C22φ: C4/C1C4 ⊆ Out D4×C14224(D4xC14).4C4448,133
(D4×C14).5C4 = C7×C4.D8φ: C4/C1C4 ⊆ Out D4×C14224(D4xC14).5C4448,135
(D4×C14).6C4 = C7×C42.C4φ: C4/C1C4 ⊆ Out D4×C141124(D4xC14).6C4448,159
(D4×C14).7C4 = C28.57D8φ: C4/C2C2 ⊆ Out D4×C14224(D4xC14).7C4448,91
(D4×C14).8C4 = D4×C7⋊C8φ: C4/C2C2 ⊆ Out D4×C14224(D4xC14).8C4448,544
(D4×C14).9C4 = C283M4(2)φ: C4/C2C2 ⊆ Out D4×C14224(D4xC14).9C4448,546
(D4×C14).10C4 = C2×C28.D4φ: C4/C2C2 ⊆ Out D4×C14112(D4xC14).10C4448,750
(D4×C14).11C4 = (D4×C14).11C4φ: C4/C2C2 ⊆ Out D4×C14224(D4xC14).11C4448,768
(D4×C14).12C4 = C2×Q8.Dic7φ: C4/C2C2 ⊆ Out D4×C14224(D4xC14).12C4448,1271
(D4×C14).13C4 = C28.76C24φ: C4/C2C2 ⊆ Out D4×C141124(D4xC14).13C4448,1272
(D4×C14).14C4 = C7×D4⋊C8φ: C4/C2C2 ⊆ Out D4×C14224(D4xC14).14C4448,129
(D4×C14).15C4 = C42.47D14φ: C4/C2C2 ⊆ Out D4×C14224(D4xC14).15C4448,545
(D4×C14).16C4 = (D4×C14).16C4φ: C4/C2C2 ⊆ Out D4×C141124(D4xC14).16C4448,771
(D4×C14).17C4 = C7×(C22×C8)⋊C2φ: C4/C2C2 ⊆ Out D4×C14224(D4xC14).17C4448,816
(D4×C14).18C4 = C14×C4.D4φ: C4/C2C2 ⊆ Out D4×C14112(D4xC14).18C4448,819
(D4×C14).19C4 = C7×M4(2).8C22φ: C4/C2C2 ⊆ Out D4×C141124(D4xC14).19C4448,821
(D4×C14).20C4 = C7×C89D4φ: C4/C2C2 ⊆ Out D4×C14224(D4xC14).20C4448,843
(D4×C14).21C4 = C7×C86D4φ: C4/C2C2 ⊆ Out D4×C14224(D4xC14).21C4448,844
(D4×C14).22C4 = C7×Q8○M4(2)φ: C4/C2C2 ⊆ Out D4×C141124(D4xC14).22C4448,1351
(D4×C14).23C4 = D4×C56φ: trivial image224(D4xC14).23C4448,842
(D4×C14).24C4 = C14×C8○D4φ: trivial image224(D4xC14).24C4448,1350

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