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Extensions 1→N→G→Q→1 with N=D4:C4 and Q=D5

Direct product G=NxQ with N=D4:C4 and Q=D5
dρLabelID
D5xD4:C480D5xD4:C4320,396

Semidirect products G=N:Q with N=D4:C4 and Q=D5
extensionφ:Q→Out NdρLabelID
D4:C4:1D5 = Dic5.5D8φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4:1D5320,387
D4:C4:2D5 = D10:D8φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4:2D5320,402
D4:C4:3D5 = D10:SD16φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4:3D5320,405
D4:C4:4D5 = D4:D20φ: D5/C5 → C2 ⊆ Out D4:C480D4:C4:4D5320,400
D4:C4:5D5 = D10.12D8φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4:5D5320,401
D4:C4:6D5 = D4.D20φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4:6D5320,410
D4:C4:7D5 = C40:5C4:C2φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4:7D5320,411
D4:C4:8D5 = D20:3D4φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4:8D5320,413
D4:C4:9D5 = Dic10:2D4φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4:9D5320,389
D4:C4:10D5 = D20.8D4φ: D5/C5 → C2 ⊆ Out D4:C480D4:C4:10D5320,403
D4:C4:11D5 = D10.16SD16φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4:11D5320,404
D4:C4:12D5 = C40:6C4:C2φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4:12D5320,406
D4:C4:13D5 = D4:3D20φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4:13D5320,408
D4:C4:14D5 = D20.D4φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4:14D5320,414
D4:C4:15D5 = C4:C4.D10φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4:15D5320,391
D4:C4:16D5 = (D4xD5):C4φ: D5/C5 → C2 ⊆ Out D4:C480D4:C4:16D5320,397
D4:C4:17D5 = D4:(C4xD5)φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4:17D5320,398
D4:C4:18D5 = C5:2C8:D4φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4:18D5320,407
D4:C4:19D5 = C5:(C8:2D4)φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4:19D5320,409
D4:C4:20D5 = D4:D5:6C4φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4:20D5320,412
D4:C4:21D5 = Dic5:4D8φ: trivial image160D4:C4:21D5320,383
D4:C4:22D5 = D4:2D5:C4φ: trivial image160D4:C4:22D5320,399

Non-split extensions G=N.Q with N=D4:C4 and Q=D5
extensionφ:Q→Out NdρLabelID
D4:C4.1D5 = (C8xDic5):C2φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4.1D5320,395
D4:C4.2D5 = Dic5.14D8φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4.2D5320,386
D4:C4.3D5 = D4.2Dic10φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4.3D5320,393
D4:C4.4D5 = Dic10.D4φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4.4D5320,394
D4:C4.5D5 = D4:Dic10φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4.5D5320,388
D4:C4.6D5 = D4.Dic10φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4.6D5320,390
D4:C4.7D5 = D4.D5:5C4φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4.7D5320,384
D4:C4.8D5 = C20:Q8:C2φ: D5/C5 → C2 ⊆ Out D4:C4160D4:C4.8D5320,392
D4:C4.9D5 = Dic5:6SD16φ: trivial image160D4:C4.9D5320,385

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