Extensions 1→N→G→Q→1 with N=D40 and Q=C22

Direct product G=NxQ with N=D40 and Q=C22
dρLabelID
C22xD40160C2^2xD40320,1412

Semidirect products G=N:Q with N=D40 and Q=C22
extensionφ:Q→Out NdρLabelID
D40:1C22 = D5xC8:C22φ: C22/C1C22 ⊆ Out D40408+D40:1C2^2320,1444
D40:2C22 = D8:5D10φ: C22/C1C22 ⊆ Out D40808+D40:2C2^2320,1446
D40:3C22 = D40:C22φ: C22/C1C22 ⊆ Out D40808+D40:3C2^2320,1449
D40:4C22 = C40.C23φ: C22/C1C22 ⊆ Out D40808+D40:4C2^2320,1450
D40:5C22 = D5xD16φ: C22/C1C22 ⊆ Out D40804+D40:5C2^2320,537
D40:6C22 = C16:D10φ: C22/C1C22 ⊆ Out D40804+D40:6C2^2320,541
D40:7C22 = C2xD80φ: C22/C2C2 ⊆ Out D40160D40:7C2^2320,529
D40:8C22 = D80:C2φ: C22/C2C2 ⊆ Out D40804+D40:8C2^2320,535
D40:9C22 = C2xC8:D10φ: C22/C2C2 ⊆ Out D4080D40:9C2^2320,1418
D40:10C22 = C40.9C23φ: C22/C2C2 ⊆ Out D40804D40:10C2^2320,1420
D40:11C22 = D4.11D20φ: C22/C2C2 ⊆ Out D40804D40:11C2^2320,1423
D40:12C22 = D4.12D20φ: C22/C2C2 ⊆ Out D40804+D40:12C2^2320,1424
D40:13C22 = C2xC5:D16φ: C22/C2C2 ⊆ Out D40160D40:13C2^2320,773
D40:14C22 = D8.D10φ: C22/C2C2 ⊆ Out D40804D40:14C2^2320,774
D40:15C22 = C2xD5xD8φ: C22/C2C2 ⊆ Out D4080D40:15C2^2320,1426
D40:16C22 = D8:13D10φ: C22/C2C2 ⊆ Out D40804D40:16C2^2320,1429
D40:17C22 = C2xQ8.D10φ: C22/C2C2 ⊆ Out D40160D40:17C2^2320,1437
D40:18C22 = D5xC4oD8φ: C22/C2C2 ⊆ Out D40804D40:18C2^2320,1439
D40:19C22 = D8:15D10φ: C22/C2C2 ⊆ Out D40804+D40:19C2^2320,1441
D40:20C22 = C2xD40:C2φ: C22/C2C2 ⊆ Out D4080D40:20C2^2320,1431
D40:21C22 = D20.29D4φ: C22/C2C2 ⊆ Out D40804D40:21C2^2320,1434
D40:22C22 = Q16:D10φ: C22/C2C2 ⊆ Out D40804D40:22C2^2320,1440
D40:23C22 = C2xD40:7C2φ: trivial image160D40:23C2^2320,1413

Non-split extensions G=N.Q with N=D40 and Q=C22
extensionφ:Q→Out NdρLabelID
D40.1C22 = D16:D5φ: C22/C1C22 ⊆ Out D40804D40.1C2^2320,538
D40.2C22 = D5xSD32φ: C22/C1C22 ⊆ Out D40804D40.2C2^2320,540
D40.3C22 = SD32:3D5φ: C22/C1C22 ⊆ Out D401604D40.3C2^2320,543
D40.4C22 = Q32:D5φ: C22/C1C22 ⊆ Out D401604D40.4C2^2320,545
D40.5C22 = D80:5C2φ: C22/C1C22 ⊆ Out D401604+D40.5C2^2320,546
D40.6C22 = C2xC16:D5φ: C22/C2C2 ⊆ Out D40160D40.6C2^2320,530
D40.7C22 = D80:7C2φ: C22/C2C2 ⊆ Out D401602D40.7C2^2320,531
D40.8C22 = C16.D10φ: C22/C2C2 ⊆ Out D401604-D40.8C2^2320,536
D40.9C22 = C2xC5:SD32φ: C22/C2C2 ⊆ Out D40160D40.9C2^2320,805
D40.10C22 = Q16.D10φ: C22/C2C2 ⊆ Out D401604D40.10C2^2320,806
D40.11C22 = D8:D10φ: C22/C2C2 ⊆ Out D40804+D40.11C2^2320,820
D40.12C22 = C40.30C23φ: C22/C2C2 ⊆ Out D401604D40.12C2^2320,821
D40.13C22 = D20.30D4φ: C22/C2C2 ⊆ Out D401604D40.13C2^2320,1438
D40.14C22 = D4.13D20φ: trivial image1604-D40.14C2^2320,1425

׿
x
:
Z
F
o
wr
Q
<