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Extensions 1→N→G→Q→1 with N=Q8:C4 and Q=D5

Direct product G=NxQ with N=Q8:C4 and Q=D5
dρLabelID
D5xQ8:C4160D5xQ8:C4320,428

Semidirect products G=N:Q with N=Q8:C4 and Q=D5
extensionφ:Q→Out NdρLabelID
Q8:C4:1D5 = Q8:Dic5:C2φ: D5/C5 → C2 ⊆ Out Q8:C4160Q8:C4:1D5320,427
Q8:C4:2D5 = D10:2SD16φ: D5/C5 → C2 ⊆ Out Q8:C4160Q8:C4:2D5320,434
Q8:C4:3D5 = D10:Q16φ: D5/C5 → C2 ⊆ Out Q8:C4160Q8:C4:3D5320,440
Q8:C4:4D5 = D10:4Q16φ: D5/C5 → C2 ⊆ Out Q8:C4160Q8:C4:4D5320,435
Q8:C4:5D5 = D10.7Q16φ: D5/C5 → C2 ⊆ Out Q8:C4160Q8:C4:5D5320,436
Q8:C4:6D5 = D20:4D4φ: D5/C5 → C2 ⊆ Out Q8:C4160Q8:C4:6D5320,438
Q8:C4:7D5 = (C2xC8).D10φ: D5/C5 → C2 ⊆ Out Q8:C4160Q8:C4:7D5320,441
Q8:C4:8D5 = D20.12D4φ: D5/C5 → C2 ⊆ Out Q8:C4160Q8:C4:8D5320,446
Q8:C4:9D5 = Dic10.11D4φ: D5/C5 → C2 ⊆ Out Q8:C4160Q8:C4:9D5320,425
Q8:C4:10D5 = D10.11SD16φ: D5/C5 → C2 ⊆ Out Q8:C4160Q8:C4:10D5320,432
Q8:C4:11D5 = Q8:2D20φ: D5/C5 → C2 ⊆ Out Q8:C4160Q8:C4:11D5320,433
Q8:C4:12D5 = Q8.D20φ: D5/C5 → C2 ⊆ Out Q8:C4160Q8:C4:12D5320,437
Q8:C4:13D5 = D10:1C8.C2φ: D5/C5 → C2 ⊆ Out Q8:C4160Q8:C4:13D5320,442
Q8:C4:14D5 = Dic5:SD16φ: D5/C5 → C2 ⊆ Out Q8:C4160Q8:C4:14D5320,445
Q8:C4:15D5 = Q8:C4:D5φ: D5/C5 → C2 ⊆ Out Q8:C4160Q8:C4:15D5320,422
Q8:C4:16D5 = (Q8xD5):C4φ: D5/C5 → C2 ⊆ Out Q8:C4160Q8:C4:16D5320,429
Q8:C4:17D5 = Q8:(C4xD5)φ: D5/C5 → C2 ⊆ Out Q8:C4160Q8:C4:17D5320,430
Q8:C4:18D5 = C5:(C8:D4)φ: D5/C5 → C2 ⊆ Out Q8:C4160Q8:C4:18D5320,439
Q8:C4:19D5 = C5:2C8.D4φ: D5/C5 → C2 ⊆ Out Q8:C4160Q8:C4:19D5320,443
Q8:C4:20D5 = Q8:D5:6C4φ: D5/C5 → C2 ⊆ Out Q8:C4160Q8:C4:20D5320,444
Q8:C4:21D5 = Dic5:7SD16φ: trivial image160Q8:C4:21D5320,415
Q8:C4:22D5 = Q8:2D5:C4φ: trivial image160Q8:C4:22D5320,431

Non-split extensions G=N.Q with N=Q8:C4 and Q=D5
extensionφ:Q→Out NdρLabelID
Q8:C4.1D5 = Dic5.3Q16φ: D5/C5 → C2 ⊆ Out Q8:C4320Q8:C4.1D5320,419
Q8:C4.2D5 = Dic5:Q16φ: D5/C5 → C2 ⊆ Out Q8:C4320Q8:C4.2D5320,420
Q8:C4.3D5 = Dic5.9Q16φ: D5/C5 → C2 ⊆ Out Q8:C4320Q8:C4.3D5320,421
Q8:C4.4D5 = Q8.Dic10φ: D5/C5 → C2 ⊆ Out Q8:C4320Q8:C4.4D5320,423
Q8:C4.5D5 = Q8:Dic10φ: D5/C5 → C2 ⊆ Out Q8:C4320Q8:C4.5D5320,418
Q8:C4.6D5 = Q8.2Dic10φ: D5/C5 → C2 ⊆ Out Q8:C4320Q8:C4.6D5320,426
Q8:C4.7D5 = C5:Q16:5C4φ: D5/C5 → C2 ⊆ Out Q8:C4320Q8:C4.7D5320,416
Q8:C4.8D5 = C40:8C4.C2φ: D5/C5 → C2 ⊆ Out Q8:C4320Q8:C4.8D5320,424
Q8:C4.9D5 = Dic5:4Q16φ: trivial image320Q8:C4.9D5320,417

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