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

Direct product G=N×Q with N=D40 and Q=C22
dρLabelID
C22×D40160C2^2xD40320,1412

Semidirect products G=N:Q with N=D40 and Q=C22
extensionφ:Q→Out NdρLabelID
D401C22 = D5×C8⋊C22φ: C22/C1C22 ⊆ Out D40408+D40:1C2^2320,1444
D402C22 = D85D10φ: C22/C1C22 ⊆ Out D40808+D40:2C2^2320,1446
D403C22 = D40⋊C22φ: C22/C1C22 ⊆ Out D40808+D40:3C2^2320,1449
D404C22 = C40.C23φ: C22/C1C22 ⊆ Out D40808+D40:4C2^2320,1450
D405C22 = D5×D16φ: C22/C1C22 ⊆ Out D40804+D40:5C2^2320,537
D406C22 = C16⋊D10φ: C22/C1C22 ⊆ Out D40804+D40:6C2^2320,541
D407C22 = C2×D80φ: C22/C2C2 ⊆ Out D40160D40:7C2^2320,529
D408C22 = D80⋊C2φ: C22/C2C2 ⊆ Out D40804+D40:8C2^2320,535
D409C22 = C2×C8⋊D10φ: C22/C2C2 ⊆ Out D4080D40:9C2^2320,1418
D4010C22 = C40.9C23φ: C22/C2C2 ⊆ Out D40804D40:10C2^2320,1420
D4011C22 = D4.11D20φ: C22/C2C2 ⊆ Out D40804D40:11C2^2320,1423
D4012C22 = D4.12D20φ: C22/C2C2 ⊆ Out D40804+D40:12C2^2320,1424
D4013C22 = C2×C5⋊D16φ: C22/C2C2 ⊆ Out D40160D40:13C2^2320,773
D4014C22 = D8.D10φ: C22/C2C2 ⊆ Out D40804D40:14C2^2320,774
D4015C22 = C2×D5×D8φ: C22/C2C2 ⊆ Out D4080D40:15C2^2320,1426
D4016C22 = D813D10φ: C22/C2C2 ⊆ Out D40804D40:16C2^2320,1429
D4017C22 = C2×Q8.D10φ: C22/C2C2 ⊆ Out D40160D40:17C2^2320,1437
D4018C22 = D5×C4○D8φ: C22/C2C2 ⊆ Out D40804D40:18C2^2320,1439
D4019C22 = D815D10φ: C22/C2C2 ⊆ Out D40804+D40:19C2^2320,1441
D4020C22 = C2×D40⋊C2φ: C22/C2C2 ⊆ Out D4080D40:20C2^2320,1431
D4021C22 = D20.29D4φ: C22/C2C2 ⊆ Out D40804D40:21C2^2320,1434
D4022C22 = Q16⋊D10φ: C22/C2C2 ⊆ Out D40804D40:22C2^2320,1440
D4023C22 = C2×D407C2φ: 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 = D5×SD32φ: C22/C1C22 ⊆ Out D40804D40.2C2^2320,540
D40.3C22 = SD323D5φ: C22/C1C22 ⊆ Out D401604D40.3C2^2320,543
D40.4C22 = Q32⋊D5φ: C22/C1C22 ⊆ Out D401604D40.4C2^2320,545
D40.5C22 = D805C2φ: C22/C1C22 ⊆ Out D401604+D40.5C2^2320,546
D40.6C22 = C2×C16⋊D5φ: C22/C2C2 ⊆ Out D40160D40.6C2^2320,530
D40.7C22 = D807C2φ: C22/C2C2 ⊆ Out D401602D40.7C2^2320,531
D40.8C22 = C16.D10φ: C22/C2C2 ⊆ Out D401604-D40.8C2^2320,536
D40.9C22 = C2×C5⋊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

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