Extensions 1→N→G→Q→1 with N=D4:C4 and Q=D7

Direct product G=NxQ with N=D4:C4 and Q=D7
dρLabelID
D7xD4:C4112D7xD4:C4448,303

Semidirect products G=N:Q with N=D4:C4 and Q=D7
extensionφ:Q→Out NdρLabelID
D4:C4:1D7 = Dic7.SD16φ: D7/C7C2 ⊆ Out D4:C4224D4:C4:1D7448,294
D4:C4:2D7 = D14:D8φ: D7/C7C2 ⊆ Out D4:C4224D4:C4:2D7448,309
D4:C4:3D7 = D14:SD16φ: D7/C7C2 ⊆ Out D4:C4224D4:C4:3D7448,312
D4:C4:4D7 = D4:D28φ: D7/C7C2 ⊆ Out D4:C4112D4:C4:4D7448,307
D4:C4:5D7 = D14.D8φ: D7/C7C2 ⊆ Out D4:C4224D4:C4:5D7448,308
D4:C4:6D7 = D4.D28φ: D7/C7C2 ⊆ Out D4:C4224D4:C4:6D7448,317
D4:C4:7D7 = C56:1C4:C2φ: D7/C7C2 ⊆ Out D4:C4224D4:C4:7D7448,318
D4:C4:8D7 = D28:3D4φ: D7/C7C2 ⊆ Out D4:C4224D4:C4:8D7448,320
D4:C4:9D7 = Dic14:2D4φ: D7/C7C2 ⊆ Out D4:C4224D4:C4:9D7448,296
D4:C4:10D7 = D4.6D28φ: D7/C7C2 ⊆ Out D4:C4112D4:C4:10D7448,310
D4:C4:11D7 = D14.SD16φ: D7/C7C2 ⊆ Out D4:C4224D4:C4:11D7448,311
D4:C4:12D7 = C8:Dic7:C2φ: D7/C7C2 ⊆ Out D4:C4224D4:C4:12D7448,313
D4:C4:13D7 = D4:3D28φ: D7/C7C2 ⊆ Out D4:C4224D4:C4:13D7448,315
D4:C4:14D7 = D28.D4φ: D7/C7C2 ⊆ Out D4:C4224D4:C4:14D7448,321
D4:C4:15D7 = C4:C4.D14φ: D7/C7C2 ⊆ Out D4:C4224D4:C4:15D7448,298
D4:C4:16D7 = (D4xD7):C4φ: D7/C7C2 ⊆ Out D4:C4112D4:C4:16D7448,304
D4:C4:17D7 = D4:(C4xD7)φ: D7/C7C2 ⊆ Out D4:C4224D4:C4:17D7448,305
D4:C4:18D7 = C7:C8:1D4φ: D7/C7C2 ⊆ Out D4:C4224D4:C4:18D7448,314
D4:C4:19D7 = C7:C8:D4φ: D7/C7C2 ⊆ Out D4:C4224D4:C4:19D7448,316
D4:C4:20D7 = D4:D7:C4φ: D7/C7C2 ⊆ Out D4:C4224D4:C4:20D7448,319
D4:C4:21D7 = Dic7:4D8φ: trivial image224D4:C4:21D7448,290
D4:C4:22D7 = D4:2D7:C4φ: trivial image224D4:C4:22D7448,306

Non-split extensions G=N.Q with N=D4:C4 and Q=D7
extensionφ:Q→Out NdρLabelID
D4:C4.1D7 = (C8xDic7):C2φ: D7/C7C2 ⊆ Out D4:C4224D4:C4.1D7448,302
D4:C4.2D7 = Dic7.D8φ: D7/C7C2 ⊆ Out D4:C4224D4:C4.2D7448,293
D4:C4.3D7 = D4.2Dic14φ: D7/C7C2 ⊆ Out D4:C4224D4:C4.3D7448,300
D4:C4.4D7 = Dic14.D4φ: D7/C7C2 ⊆ Out D4:C4224D4:C4.4D7448,301
D4:C4.5D7 = D4:Dic14φ: D7/C7C2 ⊆ Out D4:C4224D4:C4.5D7448,295
D4:C4.6D7 = D4.Dic14φ: D7/C7C2 ⊆ Out D4:C4224D4:C4.6D7448,297
D4:C4.7D7 = D4.D7:C4φ: D7/C7C2 ⊆ Out D4:C4224D4:C4.7D7448,291
D4:C4.8D7 = C28:Q8:C2φ: D7/C7C2 ⊆ Out D4:C4224D4:C4.8D7448,299
D4:C4.9D7 = Dic7:6SD16φ: trivial image224D4:C4.9D7448,292

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