# Extensions 1→N→G→Q→1 with N=C7×D4 and Q=D4

Direct product G=N×Q with N=C7×D4 and Q=D4
dρLabelID
C7×D42112C7xD4^2448,1328

Semidirect products G=N:Q with N=C7×D4 and Q=D4
extensionφ:Q→Out NdρLabelID
(C7×D4)⋊1D4 = D4⋊D28φ: D4/C2C22 ⊆ Out C7×D4112(C7xD4):1D4448,307
(C7×D4)⋊2D4 = D43D28φ: D4/C2C22 ⊆ Out C7×D4224(C7xD4):2D4448,315
(C7×D4)⋊3D4 = D44D28φ: D4/C2C22 ⊆ Out C7×D4564+(C7xD4):3D4448,356
(C7×D4)⋊4D4 = Dic7⋊D8φ: D4/C2C22 ⊆ Out C7×D4224(C7xD4):4D4448,684
(C7×D4)⋊5D4 = D28⋊D4φ: D4/C2C22 ⊆ Out C7×D4112(C7xD4):5D4448,690
(C7×D4)⋊6D4 = Dic14⋊D4φ: D4/C2C22 ⊆ Out C7×D4224(C7xD4):6D4448,692
(C7×D4)⋊7D4 = D2818D4φ: D4/C2C22 ⊆ Out C7×D4568+(C7xD4):7D4448,732
(C7×D4)⋊8D4 = C287D8φ: D4/C4C2 ⊆ Out C7×D4224(C7xD4):8D4448,549
(C7×D4)⋊9D4 = D4×D28φ: D4/C4C2 ⊆ Out C7×D4112(C7xD4):9D4448,1002
(C7×D4)⋊10D4 = D45D28φ: D4/C4C2 ⊆ Out C7×D4112(C7xD4):10D4448,1007
(C7×D4)⋊11D4 = D46D28φ: D4/C4C2 ⊆ Out C7×D4224(C7xD4):11D4448,1008
(C7×D4)⋊12D4 = C7×C4⋊D8φ: D4/C4C2 ⊆ Out C7×D4224(C7xD4):12D4448,867
(C7×D4)⋊13D4 = (C2×C14)⋊8D8φ: D4/C22C2 ⊆ Out C7×D4112(C7xD4):13D4448,751
(C7×D4)⋊14D4 = (C7×D4)⋊14D4φ: D4/C22C2 ⊆ Out C7×D4224(C7xD4):14D4448,772
(C7×D4)⋊15D4 = 2+ 1+4⋊D7φ: D4/C22C2 ⊆ Out C7×D4568+(C7xD4):15D4448,775
(C7×D4)⋊16D4 = D4×C7⋊D4φ: D4/C22C2 ⊆ Out C7×D4112(C7xD4):16D4448,1254
(C7×D4)⋊17D4 = C24.42D14φ: D4/C22C2 ⊆ Out C7×D4112(C7xD4):17D4448,1259
(C7×D4)⋊18D4 = C14.1042- 1+4φ: D4/C22C2 ⊆ Out C7×D4224(C7xD4):18D4448,1277
(C7×D4)⋊19D4 = C14.1452+ 1+4φ: D4/C22C2 ⊆ Out C7×D4112(C7xD4):19D4448,1282
(C7×D4)⋊20D4 = C7×C22⋊D8φ: D4/C22C2 ⊆ Out C7×D4112(C7xD4):20D4448,855
(C7×D4)⋊21D4 = C7×D4⋊D4φ: D4/C22C2 ⊆ Out C7×D4224(C7xD4):21D4448,857
(C7×D4)⋊22D4 = C7×D44D4φ: D4/C22C2 ⊆ Out C7×D4564(C7xD4):22D4448,861
(C7×D4)⋊23D4 = C7×D45D4φ: trivial image112(C7xD4):23D4448,1329
(C7×D4)⋊24D4 = C7×D46D4φ: trivial image224(C7xD4):24D4448,1330

Non-split extensions G=N.Q with N=C7×D4 and Q=D4
extensionφ:Q→Out NdρLabelID
(C7×D4).1D4 = D4.6D28φ: D4/C2C22 ⊆ Out C7×D4112(C7xD4).1D4448,310
(C7×D4).2D4 = D4.D28φ: D4/C2C22 ⊆ Out C7×D4224(C7xD4).2D4448,317
(C7×D4).3D4 = M4(2)⋊D14φ: D4/C2C22 ⊆ Out C7×D41124(C7xD4).3D4448,359
(C7×D4).4D4 = D4.9D28φ: D4/C2C22 ⊆ Out C7×D41124-(C7xD4).4D4448,360
(C7×D4).5D4 = D4.10D28φ: D4/C2C22 ⊆ Out C7×D41124(C7xD4).5D4448,361
(C7×D4).6D4 = (C2×D8).D7φ: D4/C2C22 ⊆ Out C7×D4224(C7xD4).6D4448,687
(C7×D4).7D4 = Dic73SD16φ: D4/C2C22 ⊆ Out C7×D4224(C7xD4).7D4448,696
(C7×D4).8D4 = (C7×D4).D4φ: D4/C2C22 ⊆ Out C7×D4224(C7xD4).8D4448,699
(C7×D4).9D4 = D146SD16φ: D4/C2C22 ⊆ Out C7×D4112(C7xD4).9D4448,703
(C7×D4).10D4 = Dic14.16D4φ: D4/C2C22 ⊆ Out C7×D4224(C7xD4).10D4448,707
(C7×D4).11D4 = M4(2).D14φ: D4/C2C22 ⊆ Out C7×D41128+(C7xD4).11D4448,733
(C7×D4).12D4 = M4(2).13D14φ: D4/C2C22 ⊆ Out C7×D41128-(C7xD4).12D4448,734
(C7×D4).13D4 = D28.38D4φ: D4/C2C22 ⊆ Out C7×D41128-(C7xD4).13D4448,735
(C7×D4).14D4 = D28.39D4φ: D4/C2C22 ⊆ Out C7×D41128+(C7xD4).14D4448,736
(C7×D4).15D4 = M4(2).15D14φ: D4/C2C22 ⊆ Out C7×D41128+(C7xD4).15D4448,737
(C7×D4).16D4 = M4(2).16D14φ: D4/C2C22 ⊆ Out C7×D42248-(C7xD4).16D4448,738
(C7×D4).17D4 = D28.40D4φ: D4/C2C22 ⊆ Out C7×D41128-(C7xD4).17D4448,739
(C7×D4).18D4 = D4.1D28φ: D4/C4C2 ⊆ Out C7×D4224(C7xD4).18D4448,550
(C7×D4).19D4 = D4.2D28φ: D4/C4C2 ⊆ Out C7×D4224(C7xD4).19D4448,553
(C7×D4).20D4 = D4.3D28φ: D4/C4C2 ⊆ Out C7×D41124(C7xD4).20D4448,675
(C7×D4).21D4 = D4.4D28φ: D4/C4C2 ⊆ Out C7×D41124+(C7xD4).21D4448,676
(C7×D4).22D4 = D4.5D28φ: D4/C4C2 ⊆ Out C7×D42244-(C7xD4).22D4448,677
(C7×D4).23D4 = D4.11D28φ: D4/C4C2 ⊆ Out C7×D41124(C7xD4).23D4448,1204
(C7×D4).24D4 = D4.12D28φ: D4/C4C2 ⊆ Out C7×D41124+(C7xD4).24D4448,1205
(C7×D4).25D4 = D4.13D28φ: D4/C4C2 ⊆ Out C7×D42244-(C7xD4).25D4448,1206
(C7×D4).26D4 = C7×D4.D4φ: D4/C4C2 ⊆ Out C7×D4224(C7xD4).26D4448,869
(C7×D4).27D4 = C7×D4.2D4φ: D4/C4C2 ⊆ Out C7×D4224(C7xD4).27D4448,871
(C7×D4).28D4 = C7×D4.3D4φ: D4/C4C2 ⊆ Out C7×D41124(C7xD4).28D4448,879
(C7×D4).29D4 = C7×D4.4D4φ: D4/C4C2 ⊆ Out C7×D41124(C7xD4).29D4448,880
(C7×D4).30D4 = C7×D4.5D4φ: D4/C4C2 ⊆ Out C7×D42244(C7xD4).30D4448,881
(C7×D4).31D4 = (C7×D4).31D4φ: D4/C22C2 ⊆ Out C7×D4112(C7xD4).31D4448,752
(C7×D4).32D4 = (C7×D4).32D4φ: D4/C22C2 ⊆ Out C7×D4224(C7xD4).32D4448,773
(C7×D4).33D4 = 2+ 1+4.D7φ: D4/C22C2 ⊆ Out C7×D41128-(C7xD4).33D4448,776
(C7×D4).34D4 = 2- 1+4⋊D7φ: D4/C22C2 ⊆ Out C7×D41128+(C7xD4).34D4448,779
(C7×D4).35D4 = 2- 1+4.D7φ: D4/C22C2 ⊆ Out C7×D41128-(C7xD4).35D4448,780
(C7×D4).36D4 = D28.32C23φ: D4/C22C2 ⊆ Out C7×D41128+(C7xD4).36D4448,1288
(C7×D4).37D4 = D28.33C23φ: D4/C22C2 ⊆ Out C7×D41128-(C7xD4).37D4448,1289
(C7×D4).38D4 = D28.34C23φ: D4/C22C2 ⊆ Out C7×D41128+(C7xD4).38D4448,1290
(C7×D4).39D4 = D28.35C23φ: D4/C22C2 ⊆ Out C7×D42248-(C7xD4).39D4448,1291
(C7×D4).40D4 = C7×C22⋊SD16φ: D4/C22C2 ⊆ Out C7×D4112(C7xD4).40D4448,858
(C7×D4).41D4 = C7×D4.7D4φ: D4/C22C2 ⊆ Out C7×D4224(C7xD4).41D4448,860
(C7×D4).42D4 = C7×D4.8D4φ: D4/C22C2 ⊆ Out C7×D41124(C7xD4).42D4448,862
(C7×D4).43D4 = C7×D4.9D4φ: D4/C22C2 ⊆ Out C7×D41124(C7xD4).43D4448,863
(C7×D4).44D4 = C7×D4.10D4φ: D4/C22C2 ⊆ Out C7×D41124(C7xD4).44D4448,864
(C7×D4).45D4 = C7×D4○D8φ: trivial image1124(C7xD4).45D4448,1359
(C7×D4).46D4 = C7×D4○SD16φ: trivial image1124(C7xD4).46D4448,1360
(C7×D4).47D4 = C7×Q8○D8φ: trivial image2244(C7xD4).47D4448,1361

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