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Extensions 1→N→G→Q→1 with N=C40 and Q=C23

Direct product G=NxQ with N=C40 and Q=C23
dρLabelID
C23xC40320C2^3xC40320,1567

Semidirect products G=N:Q with N=C40 and Q=C23
extensionφ:Q→Aut NdρLabelID
C40:C23 = D5xC8:C22φ: C23/C1 → C23 ⊆ Aut C40408+C40:C2^3320,1444
C40:2C23 = C2xC8:D10φ: C23/C2 → C22 ⊆ Aut C4080C40:2C2^3320,1418
C40:3C23 = C2xD5xD8φ: C23/C2 → C22 ⊆ Aut C4080C40:3C2^3320,1426
C40:4C23 = C2xD40:C2φ: C23/C2 → C22 ⊆ Aut C4080C40:4C2^3320,1431
C40:5C23 = C2xD8:D5φ: C23/C2 → C22 ⊆ Aut C4080C40:5C2^3320,1427
C40:6C23 = C2xD5xSD16φ: C23/C2 → C22 ⊆ Aut C4080C40:6C2^3320,1430
C40:7C23 = C2xD5xM4(2)φ: C23/C2 → C22 ⊆ Aut C4080C40:7C2^3320,1415
C40:8C23 = C10xC8:C22φ: C23/C2 → C22 ⊆ Aut C4080C40:8C2^3320,1575
C40:9C23 = C22xD40φ: C23/C22 → C2 ⊆ Aut C40160C40:9C2^3320,1412
C40:10C23 = C22xC40:C2φ: C23/C22 → C2 ⊆ Aut C40160C40:10C2^3320,1411
C40:11C23 = D5xC22xC8φ: C23/C22 → C2 ⊆ Aut C40160C40:11C2^3320,1408
C40:12C23 = C22xC8:D5φ: C23/C22 → C2 ⊆ Aut C40160C40:12C2^3320,1409
C40:13C23 = D8xC2xC10φ: C23/C22 → C2 ⊆ Aut C40160C40:13C2^3320,1571
C40:14C23 = SD16xC2xC10φ: C23/C22 → C2 ⊆ Aut C40160C40:14C2^3320,1572
C40:15C23 = M4(2)xC2xC10φ: C23/C22 → C2 ⊆ Aut C40160C40:15C2^3320,1568

Non-split extensions G=N.Q with N=C40 and Q=C23
extensionφ:Q→Aut NdρLabelID
C40.1C23 = SD16:D10φ: C23/C1 → C23 ⊆ Aut C40808-C40.1C2^3320,1445
C40.2C23 = D8:5D10φ: C23/C1 → C23 ⊆ Aut C40808+C40.2C2^3320,1446
C40.3C23 = D8:6D10φ: C23/C1 → C23 ⊆ Aut C40808-C40.3C2^3320,1447
C40.4C23 = D5xC8.C22φ: C23/C1 → C23 ⊆ Aut C40808-C40.4C2^3320,1448
C40.5C23 = D40:C22φ: C23/C1 → C23 ⊆ Aut C40808+C40.5C2^3320,1449
C40.6C23 = C40.C23φ: C23/C1 → C23 ⊆ Aut C40808+C40.6C2^3320,1450
C40.7C23 = D20.44D4φ: C23/C1 → C23 ⊆ Aut C401608-C40.7C2^3320,1451
C40.8C23 = C2xC8.D10φ: C23/C2 → C22 ⊆ Aut C40160C40.8C2^3320,1419
C40.9C23 = C40.9C23φ: C23/C2 → C22 ⊆ Aut C40804C40.9C2^3320,1420
C40.10C23 = D4.11D20φ: C23/C2 → C22 ⊆ Aut C40804C40.10C2^3320,1423
C40.11C23 = D4.12D20φ: C23/C2 → C22 ⊆ Aut C40804+C40.11C2^3320,1424
C40.12C23 = D4.13D20φ: C23/C2 → C22 ⊆ Aut C401604-C40.12C2^3320,1425
C40.13C23 = D5xD16φ: C23/C2 → C22 ⊆ Aut C40804+C40.13C2^3320,537
C40.14C23 = D16:D5φ: C23/C2 → C22 ⊆ Aut C40804C40.14C2^3320,538
C40.15C23 = D16:3D5φ: C23/C2 → C22 ⊆ Aut C401604-C40.15C2^3320,539
C40.16C23 = D5xSD32φ: C23/C2 → C22 ⊆ Aut C40804C40.16C2^3320,540
C40.17C23 = C16:D10φ: C23/C2 → C22 ⊆ Aut C40804+C40.17C2^3320,541
C40.18C23 = SD32:D5φ: C23/C2 → C22 ⊆ Aut C401604-C40.18C2^3320,542
C40.19C23 = SD32:3D5φ: C23/C2 → C22 ⊆ Aut C401604C40.19C2^3320,543
C40.20C23 = D5xQ32φ: C23/C2 → C22 ⊆ Aut C401604-C40.20C2^3320,544
C40.21C23 = Q32:D5φ: C23/C2 → C22 ⊆ Aut C401604C40.21C2^3320,545
C40.22C23 = D80:5C2φ: C23/C2 → C22 ⊆ Aut C401604+C40.22C2^3320,546
C40.23C23 = C2xC5:D16φ: C23/C2 → C22 ⊆ Aut C40160C40.23C2^3320,773
C40.24C23 = D8.D10φ: C23/C2 → C22 ⊆ Aut C40804C40.24C2^3320,774
C40.25C23 = C2xD8.D5φ: C23/C2 → C22 ⊆ Aut C40160C40.25C2^3320,775
C40.26C23 = C2xC5:SD32φ: C23/C2 → C22 ⊆ Aut C40160C40.26C2^3320,805
C40.27C23 = Q16.D10φ: C23/C2 → C22 ⊆ Aut C401604C40.27C2^3320,806
C40.28C23 = C2xC5:Q32φ: C23/C2 → C22 ⊆ Aut C40320C40.28C2^3320,807
C40.29C23 = D8:D10φ: C23/C2 → C22 ⊆ Aut C40804+C40.29C2^3320,820
C40.30C23 = C40.30C23φ: C23/C2 → C22 ⊆ Aut C401604C40.30C2^3320,821
C40.31C23 = C40.31C23φ: C23/C2 → C22 ⊆ Aut C401604-C40.31C2^3320,822
C40.32C23 = C2xD8:3D5φ: C23/C2 → C22 ⊆ Aut C40160C40.32C2^3320,1428
C40.33C23 = C2xD5xQ16φ: C23/C2 → C22 ⊆ Aut C40160C40.33C2^3320,1435
C40.34C23 = C2xQ8.D10φ: C23/C2 → C22 ⊆ Aut C40160C40.34C2^3320,1437
C40.35C23 = C2xSD16:D5φ: C23/C2 → C22 ⊆ Aut C40160C40.35C2^3320,1432
C40.36C23 = D20.29D4φ: C23/C2 → C22 ⊆ Aut C40804C40.36C2^3320,1434
C40.37C23 = Q16:D10φ: C23/C2 → C22 ⊆ Aut C40804C40.37C2^3320,1440
C40.38C23 = D8:15D10φ: C23/C2 → C22 ⊆ Aut C40804+C40.38C2^3320,1441
C40.39C23 = D20.47D4φ: C23/C2 → C22 ⊆ Aut C401604-C40.39C2^3320,1443
C40.40C23 = D8:13D10φ: C23/C2 → C22 ⊆ Aut C40804C40.40C2^3320,1429
C40.41C23 = C2xQ16:D5φ: C23/C2 → C22 ⊆ Aut C40160C40.41C2^3320,1436
C40.42C23 = D20.30D4φ: C23/C2 → C22 ⊆ Aut C401604C40.42C2^3320,1438
C40.43C23 = D8:11D10φ: C23/C2 → C22 ⊆ Aut C40804C40.43C2^3320,1442
C40.44C23 = C2xSD16:3D5φ: C23/C2 → C22 ⊆ Aut C40160C40.44C2^3320,1433
C40.45C23 = D5xC4oD8φ: C23/C2 → C22 ⊆ Aut C40804C40.45C2^3320,1439
C40.46C23 = C2xD20.2C4φ: C23/C2 → C22 ⊆ Aut C40160C40.46C2^3320,1416
C40.47C23 = C40.47C23φ: C23/C2 → C22 ⊆ Aut C40804C40.47C2^3320,1417
C40.48C23 = D5xC8oD4φ: C23/C2 → C22 ⊆ Aut C40804C40.48C2^3320,1421
C40.49C23 = C20.72C24φ: C23/C2 → C22 ⊆ Aut C40804C40.49C2^3320,1422
C40.50C23 = C10xC8.C22φ: C23/C2 → C22 ⊆ Aut C40160C40.50C2^3320,1576
C40.51C23 = C5xD8:C22φ: C23/C2 → C22 ⊆ Aut C40804C40.51C2^3320,1577
C40.52C23 = C5xD4oD8φ: C23/C2 → C22 ⊆ Aut C40804C40.52C2^3320,1578
C40.53C23 = C5xD4oSD16φ: C23/C2 → C22 ⊆ Aut C40804C40.53C2^3320,1579
C40.54C23 = C5xQ8oD8φ: C23/C2 → C22 ⊆ Aut C401604C40.54C2^3320,1580
C40.55C23 = C2xD80φ: C23/C22 → C2 ⊆ Aut C40160C40.55C2^3320,529
C40.56C23 = C2xC16:D5φ: C23/C22 → C2 ⊆ Aut C40160C40.56C2^3320,530
C40.57C23 = D80:7C2φ: C23/C22 → C2 ⊆ Aut C401602C40.57C2^3320,531
C40.58C23 = C2xDic40φ: C23/C22 → C2 ⊆ Aut C40320C40.58C2^3320,532
C40.59C23 = D80:C2φ: C23/C22 → C2 ⊆ Aut C40804+C40.59C2^3320,535
C40.60C23 = C16.D10φ: C23/C22 → C2 ⊆ Aut C401604-C40.60C2^3320,536
C40.61C23 = C22xDic20φ: C23/C22 → C2 ⊆ Aut C40320C40.61C2^3320,1414
C40.62C23 = C2xD40:7C2φ: C23/C22 → C2 ⊆ Aut C40160C40.62C2^3320,1413
C40.63C23 = D5xC2xC16φ: C23/C22 → C2 ⊆ Aut C40160C40.63C2^3320,526
C40.64C23 = C2xC80:C2φ: C23/C22 → C2 ⊆ Aut C40160C40.64C2^3320,527
C40.65C23 = D20.6C8φ: C23/C22 → C2 ⊆ Aut C401602C40.65C2^3320,528
C40.66C23 = D5xM5(2)φ: C23/C22 → C2 ⊆ Aut C40804C40.66C2^3320,533
C40.67C23 = D20.5C8φ: C23/C22 → C2 ⊆ Aut C401604C40.67C2^3320,534
C40.68C23 = C22xC5:2C16φ: C23/C22 → C2 ⊆ Aut C40320C40.68C2^3320,723
C40.69C23 = C2xC20.4C8φ: C23/C22 → C2 ⊆ Aut C40160C40.69C2^3320,724
C40.70C23 = C40.70C23φ: C23/C22 → C2 ⊆ Aut C401604C40.70C2^3320,767
C40.71C23 = C2xD20.3C4φ: C23/C22 → C2 ⊆ Aut C40160C40.71C2^3320,1410
C40.72C23 = C10xD16φ: C23/C22 → C2 ⊆ Aut C40160C40.72C2^3320,1006
C40.73C23 = C10xSD32φ: C23/C22 → C2 ⊆ Aut C40160C40.73C2^3320,1007
C40.74C23 = C10xQ32φ: C23/C22 → C2 ⊆ Aut C40320C40.74C2^3320,1008
C40.75C23 = C5xC4oD16φ: C23/C22 → C2 ⊆ Aut C401602C40.75C2^3320,1009
C40.76C23 = C5xC16:C22φ: C23/C22 → C2 ⊆ Aut C40804C40.76C2^3320,1010
C40.77C23 = C5xQ32:C2φ: C23/C22 → C2 ⊆ Aut C401604C40.77C2^3320,1011
C40.78C23 = Q16xC2xC10φ: C23/C22 → C2 ⊆ Aut C40320C40.78C2^3320,1573
C40.79C23 = C10xC4oD8φ: C23/C22 → C2 ⊆ Aut C40160C40.79C2^3320,1574
C40.80C23 = C10xC8oD4φ: C23/C22 → C2 ⊆ Aut C40160C40.80C2^3320,1569
C40.81C23 = C5xQ8oM4(2)φ: C23/C22 → C2 ⊆ Aut C40804C40.81C2^3320,1570
C40.82C23 = C10xM5(2)central extension (φ=1)160C40.82C2^3320,1004
C40.83C23 = C5xD4oC16central extension (φ=1)1602C40.83C2^3320,1005

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