Extensions 1→N→G→Q→1 with N=Q8:D5 and Q=C22

Direct product G=NxQ with N=Q8:D5 and Q=C22
dρLabelID
C22xQ8:D5160C2^2xQ8:D5320,1479

Semidirect products G=N:Q with N=Q8:D5 and Q=C22
extensionφ:Q→Out NdρLabelID
Q8:D5:1C22 = D20.29D4φ: C22/C1C22 ⊆ Out Q8:D5804Q8:D5:1C2^2320,1434
Q8:D5:2C22 = D8:15D10φ: C22/C1C22 ⊆ Out Q8:D5804+Q8:D5:2C2^2320,1441
Q8:D5:3C22 = D8:11D10φ: C22/C1C22 ⊆ Out Q8:D5804Q8:D5:3C2^2320,1442
Q8:D5:4C22 = D5xC8:C22φ: C22/C1C22 ⊆ Out Q8:D5408+Q8:D5:4C2^2320,1444
Q8:D5:5C22 = D5xC8.C22φ: C22/C1C22 ⊆ Out Q8:D5808-Q8:D5:5C2^2320,1448
Q8:D5:6C22 = D40:C22φ: C22/C1C22 ⊆ Out Q8:D5808+Q8:D5:6C2^2320,1449
Q8:D5:7C22 = C2xD5xSD16φ: C22/C2C2 ⊆ Out Q8:D580Q8:D5:7C2^2320,1430
Q8:D5:8C22 = C2xD40:C2φ: C22/C2C2 ⊆ Out Q8:D580Q8:D5:8C2^2320,1431
Q8:D5:9C22 = C2xQ16:D5φ: C22/C2C2 ⊆ Out Q8:D5160Q8:D5:9C2^2320,1436
Q8:D5:10C22 = C2xQ8.D10φ: C22/C2C2 ⊆ Out Q8:D5160Q8:D5:10C2^2320,1437
Q8:D5:11C22 = D5xC4oD8φ: C22/C2C2 ⊆ Out Q8:D5804Q8:D5:11C2^2320,1439
Q8:D5:12C22 = Q16:D10φ: C22/C2C2 ⊆ Out Q8:D5804Q8:D5:12C2^2320,1440
Q8:D5:13C22 = D8:5D10φ: C22/C2C2 ⊆ Out Q8:D5808+Q8:D5:13C2^2320,1446
Q8:D5:14C22 = D8:6D10φ: C22/C2C2 ⊆ Out Q8:D5808-Q8:D5:14C2^2320,1447
Q8:D5:15C22 = C40.C23φ: C22/C2C2 ⊆ Out Q8:D5808+Q8:D5:15C2^2320,1450
Q8:D5:16C22 = C2xC20.C23φ: C22/C2C2 ⊆ Out Q8:D5160Q8:D5:16C2^2320,1480
Q8:D5:17C22 = C2xD4:D10φ: C22/C2C2 ⊆ Out Q8:D580Q8:D5:17C2^2320,1492
Q8:D5:18C22 = C20.C24φ: C22/C2C2 ⊆ Out Q8:D5804Q8:D5:18C2^2320,1494
Q8:D5:19C22 = D20.32C23φ: C22/C2C2 ⊆ Out Q8:D5808+Q8:D5:19C2^2320,1507
Q8:D5:20C22 = D20.34C23φ: C22/C2C2 ⊆ Out Q8:D5808+Q8:D5:20C2^2320,1509
Q8:D5:21C22 = C2xD4.8D10φ: trivial image160Q8:D5:21C2^2320,1493
Q8:D5:22C22 = D20.33C23φ: trivial image808-Q8:D5:22C2^2320,1508

Non-split extensions G=N.Q with N=Q8:D5 and Q=C22
extensionφ:Q→Out NdρLabelID
Q8:D5.C22 = D20.30D4φ: C22/C1C22 ⊆ Out Q8:D51604Q8:D5.C2^2320,1438
Q8:D5.2C22 = D20.44D4φ: C22/C2C2 ⊆ Out Q8:D51608-Q8:D5.2C2^2320,1451
Q8:D5.3C22 = D20.35C23φ: C22/C2C2 ⊆ Out Q8:D51608-Q8:D5.3C2^2320,1510

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