Extensions 1→N→G→Q→1 with N=Q8:2D5 and Q=C22

Direct product G=NxQ with N=Q8:2D5 and Q=C22
dρLabelID
C22xQ8:2D5160C2^2xQ8:2D5320,1616

Semidirect products G=N:Q with N=Q8:2D5 and Q=C22
extensionφ:Q→Out NdρLabelID
Q8:2D5:1C22 = D20.29D4φ: C22/C1C22 ⊆ Out Q8:2D5804Q8:2D5:1C2^2320,1434
Q8:2D5:2C22 = D8:15D10φ: C22/C1C22 ⊆ Out Q8:2D5804+Q8:2D5:2C2^2320,1441
Q8:2D5:3C22 = D8:5D10φ: C22/C1C22 ⊆ Out Q8:2D5808+Q8:2D5:3C2^2320,1446
Q8:2D5:4C22 = C40.C23φ: C22/C1C22 ⊆ Out Q8:2D5808+Q8:2D5:4C2^2320,1450
Q8:2D5:5C22 = C2xD40:C2φ: C22/C2C2 ⊆ Out Q8:2D580Q8:2D5:5C2^2320,1431
Q8:2D5:6C22 = C2xSD16:3D5φ: C22/C2C2 ⊆ Out Q8:2D5160Q8:2D5:6C2^2320,1433
Q8:2D5:7C22 = C2xQ8.D10φ: C22/C2C2 ⊆ Out Q8:2D5160Q8:2D5:7C2^2320,1437
Q8:2D5:8C22 = D5xC4oD8φ: C22/C2C2 ⊆ Out Q8:2D5804Q8:2D5:8C2^2320,1439
Q8:2D5:9C22 = D5xC8:C22φ: C22/C2C2 ⊆ Out Q8:2D5408+Q8:2D5:9C2^2320,1444
Q8:2D5:10C22 = SD16:D10φ: C22/C2C2 ⊆ Out Q8:2D5808-Q8:2D5:10C2^2320,1445
Q8:2D5:11C22 = D40:C22φ: C22/C2C2 ⊆ Out Q8:2D5808+Q8:2D5:11C2^2320,1449
Q8:2D5:12C22 = C2xQ8.10D10φ: C22/C2C2 ⊆ Out Q8:2D5160Q8:2D5:12C2^2320,1617
Q8:2D5:13C22 = C2xD4:8D10φ: C22/C2C2 ⊆ Out Q8:2D580Q8:2D5:13C2^2320,1619
Q8:2D5:14C22 = C10.C25φ: C22/C2C2 ⊆ Out Q8:2D5804Q8:2D5:14C2^2320,1621
Q8:2D5:15C22 = D5x2+ 1+4φ: C22/C2C2 ⊆ Out Q8:2D5408+Q8:2D5:15C2^2320,1622
Q8:2D5:16C22 = D5x2- 1+4φ: C22/C2C2 ⊆ Out Q8:2D5808-Q8:2D5:16C2^2320,1624
Q8:2D5:17C22 = D20.39C23φ: C22/C2C2 ⊆ Out Q8:2D5808+Q8:2D5:17C2^2320,1625
Q8:2D5:18C22 = C2xD5xC4oD4φ: trivial image80Q8:2D5:18C2^2320,1618
Q8:2D5:19C22 = D20.37C23φ: trivial image808-Q8:2D5:19C2^2320,1623

Non-split extensions G=N.Q with N=Q8:2D5 and Q=C22
extensionφ:Q→Out NdρLabelID
Q8:2D5.1C22 = D20.30D4φ: C22/C1C22 ⊆ Out Q8:2D51604Q8:2D5.1C2^2320,1438
Q8:2D5.2C22 = D8:11D10φ: C22/C1C22 ⊆ Out Q8:2D5804Q8:2D5.2C2^2320,1442
Q8:2D5.3C22 = D20.44D4φ: C22/C1C22 ⊆ Out Q8:2D51608-Q8:2D5.3C2^2320,1451
Q8:2D5.4C22 = SD16:3F5φ: C22/C1C22 ⊆ Out Q8:2D5808Q8:2D5.4C2^2320,1074
Q8:2D5.5C22 = SD16:2F5φ: C22/C1C22 ⊆ Out Q8:2D5808Q8:2D5.5C2^2320,1075
Q8:2D5.6C22 = Q16:5F5φ: C22/C1C22 ⊆ Out Q8:2D5808+Q8:2D5.6C2^2320,1078
Q8:2D5.7C22 = Q16:F5φ: C22/C1C22 ⊆ Out Q8:2D5808+Q8:2D5.7C2^2320,1079
Q8:2D5.8C22 = C2xQ16:D5φ: C22/C2C2 ⊆ Out Q8:2D5160Q8:2D5.8C2^2320,1436
Q8:2D5.9C22 = Q16:D10φ: C22/C2C2 ⊆ Out Q8:2D5804Q8:2D5.9C2^2320,1440
Q8:2D5.10C22 = D5xC8.C22φ: C22/C2C2 ⊆ Out Q8:2D5808-Q8:2D5.10C2^2320,1448
Q8:2D5.11C22 = C2xQ8:2F5φ: C22/C2C2 ⊆ Out Q8:2D580Q8:2D5.11C2^2320,1121
Q8:2D5.12C22 = (C2xQ8):6F5φ: C22/C2C2 ⊆ Out Q8:2D5808+Q8:2D5.12C2^2320,1122
Q8:2D5.13C22 = D5:C4wrC2φ: C22/C2C2 ⊆ Out Q8:2D5408Q8:2D5.13C2^2320,1130
Q8:2D5.14C22 = D4:F5:C2φ: C22/C2C2 ⊆ Out Q8:2D5808Q8:2D5.14C2^2320,1133
Q8:2D5.15C22 = C2xQ8.F5φ: C22/C2C2 ⊆ Out Q8:2D5160Q8:2D5.15C2^2320,1597
Q8:2D5.16C22 = Dic5.20C24φ: C22/C2C2 ⊆ Out Q8:2D5808+Q8:2D5.16C2^2320,1598
Q8:2D5.17C22 = Dic5.21C24φ: C22/C2C2 ⊆ Out Q8:2D5808Q8:2D5.17C2^2320,1601
Q8:2D5.18C22 = Dic5.22C24φ: C22/C2C2 ⊆ Out Q8:2D5808Q8:2D5.18C2^2320,1602

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