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Extensions 1→N→G→Q→1 with N=C4.Dic5 and Q=C22

Direct product G=NxQ with N=C4.Dic5 and Q=C22
dρLabelID
C22xC4.Dic5160C2^2xC4.Dic5320,1453

Semidirect products G=N:Q with N=C4.Dic5 and Q=C22
extensionφ:Q→Out NdρLabelID
C4.Dic5:1C22 = D5xC4.D4φ: C22/C1 → C22 ⊆ Out C4.Dic5408+C4.Dic5:1C2^2320,371
C4.Dic5:2C22 = D5xC4wrC2φ: C22/C1 → C22 ⊆ Out C4.Dic5404C4.Dic5:2C2^2320,447
C4.Dic5:3C22 = C42:D10φ: C22/C1 → C22 ⊆ Out C4.Dic5804C4.Dic5:3C2^2320,448
C4.Dic5:4C22 = D4:4D20φ: C22/C1 → C22 ⊆ Out C4.Dic5404+C4.Dic5:4C2^2320,449
C4.Dic5:5C22 = M4(2):D10φ: C22/C1 → C22 ⊆ Out C4.Dic5804C4.Dic5:5C2^2320,452
C4.Dic5:6C22 = C42:5D10φ: C22/C1 → C22 ⊆ Out C4.Dic5804C4.Dic5:6C2^2320,688
C4.Dic5:7C22 = D20:5D4φ: C22/C1 → C22 ⊆ Out C4.Dic5404C4.Dic5:7C2^2320,704
C4.Dic5:8C22 = D20:18D4φ: C22/C1 → C22 ⊆ Out C4.Dic5408+C4.Dic5:8C2^2320,825
C4.Dic5:9C22 = D20.39D4φ: C22/C1 → C22 ⊆ Out C4.Dic5808+C4.Dic5:9C2^2320,829
C4.Dic5:10C22 = 2+ 1+4:D5φ: C22/C1 → C22 ⊆ Out C4.Dic5408+C4.Dic5:10C2^2320,868
C4.Dic5:11C22 = 2+ 1+4.D5φ: C22/C1 → C22 ⊆ Out C4.Dic5808-C4.Dic5:11C2^2320,869
C4.Dic5:12C22 = D5xC8:C22φ: C22/C1 → C22 ⊆ Out C4.Dic5408+C4.Dic5:12C2^2320,1444
C4.Dic5:13C22 = SD16:D10φ: C22/C1 → C22 ⊆ Out C4.Dic5808-C4.Dic5:13C2^2320,1445
C4.Dic5:14C22 = D5xC8.C22φ: C22/C1 → C22 ⊆ Out C4.Dic5808-C4.Dic5:14C2^2320,1448
C4.Dic5:15C22 = D40:C22φ: C22/C1 → C22 ⊆ Out C4.Dic5808+C4.Dic5:15C2^2320,1449
C4.Dic5:16C22 = D20.32C23φ: C22/C1 → C22 ⊆ Out C4.Dic5808+C4.Dic5:16C2^2320,1507
C4.Dic5:17C22 = D20.33C23φ: C22/C1 → C22 ⊆ Out C4.Dic5808-C4.Dic5:17C2^2320,1508
C4.Dic5:18C22 = D20.34C23φ: C22/C1 → C22 ⊆ Out C4.Dic5808+C4.Dic5:18C2^2320,1509
C4.Dic5:19C22 = C2xD20:4C4φ: C22/C2 → C2 ⊆ Out C4.Dic580C4.Dic5:19C2^2320,554
C4.Dic5:20C22 = C42:4D10φ: C22/C2 → C2 ⊆ Out C4.Dic5804C4.Dic5:20C2^2320,632
C4.Dic5:21C22 = C2xC20.46D4φ: C22/C2 → C2 ⊆ Out C4.Dic580C4.Dic5:21C2^2320,757
C4.Dic5:22C22 = C2xC20.D4φ: C22/C2 → C2 ⊆ Out C4.Dic580C4.Dic5:22C2^2320,843
C4.Dic5:23C22 = C2xD4:2Dic5φ: C22/C2 → C2 ⊆ Out C4.Dic580C4.Dic5:23C2^2320,862
C4.Dic5:24C22 = (D4xC10):21C4φ: C22/C2 → C2 ⊆ Out C4.Dic5804C4.Dic5:24C2^2320,863
C4.Dic5:25C22 = C2xD5xM4(2)φ: C22/C2 → C2 ⊆ Out C4.Dic580C4.Dic5:25C2^2320,1415
C4.Dic5:26C22 = D5xC8oD4φ: C22/C2 → C2 ⊆ Out C4.Dic5804C4.Dic5:26C2^2320,1421
C4.Dic5:27C22 = C20.72C24φ: C22/C2 → C2 ⊆ Out C4.Dic5804C4.Dic5:27C2^2320,1422
C4.Dic5:28C22 = D8:13D10φ: C22/C2 → C2 ⊆ Out C4.Dic5804C4.Dic5:28C2^2320,1429
C4.Dic5:29C22 = D20.29D4φ: C22/C2 → C2 ⊆ Out C4.Dic5804C4.Dic5:29C2^2320,1434
C4.Dic5:30C22 = D8:15D10φ: C22/C2 → C2 ⊆ Out C4.Dic5804+C4.Dic5:30C2^2320,1441
C4.Dic5:31C22 = D8:11D10φ: C22/C2 → C2 ⊆ Out C4.Dic5804C4.Dic5:31C2^2320,1442
C4.Dic5:32C22 = C2xD4.D10φ: C22/C2 → C2 ⊆ Out C4.Dic580C4.Dic5:32C2^2320,1465
C4.Dic5:33C22 = C2xC20.C23φ: C22/C2 → C2 ⊆ Out C4.Dic5160C4.Dic5:33C2^2320,1480
C4.Dic5:34C22 = C2xD4.Dic5φ: C22/C2 → C2 ⊆ Out C4.Dic5160C4.Dic5:34C2^2320,1490
C4.Dic5:35C22 = C20.76C24φ: C22/C2 → C2 ⊆ Out C4.Dic5804C4.Dic5:35C2^2320,1491
C4.Dic5:36C22 = C2xD4:D10φ: C22/C2 → C2 ⊆ Out C4.Dic580C4.Dic5:36C2^2320,1492
C4.Dic5:37C22 = C20.C24φ: C22/C2 → C2 ⊆ Out C4.Dic5804C4.Dic5:37C2^2320,1494
C4.Dic5:38C22 = C2xD4.9D10φ: C22/C2 → C2 ⊆ Out C4.Dic5160C4.Dic5:38C2^2320,1495
C4.Dic5:39C22 = C2xD20.3C4φ: trivial image160C4.Dic5:39C2^2320,1410
C4.Dic5:40C22 = C40.47C23φ: trivial image804C4.Dic5:40C2^2320,1417

Non-split extensions G=N.Q with N=C4.Dic5 and Q=C22
extensionφ:Q→Out NdρLabelID
C4.Dic5.1C22 = M4(2).19D10φ: C22/C1 → C22 ⊆ Out C4.Dic5808-C4.Dic5.1C2^2320,372
C4.Dic5.2C22 = D20.2D4φ: C22/C1 → C22 ⊆ Out C4.Dic5808-C4.Dic5.2C2^2320,375
C4.Dic5.3C22 = D20.3D4φ: C22/C1 → C22 ⊆ Out C4.Dic5808+C4.Dic5.3C2^2320,376
C4.Dic5.4C22 = D5xC4.10D4φ: C22/C1 → C22 ⊆ Out C4.Dic5808-C4.Dic5.4C2^2320,377
C4.Dic5.5C22 = M4(2).21D10φ: C22/C1 → C22 ⊆ Out C4.Dic5808+C4.Dic5.5C2^2320,378
C4.Dic5.6C22 = D20.6D4φ: C22/C1 → C22 ⊆ Out C4.Dic5808+C4.Dic5.6C2^2320,381
C4.Dic5.7C22 = D20.7D4φ: C22/C1 → C22 ⊆ Out C4.Dic51608-C4.Dic5.7C2^2320,382
C4.Dic5.8C22 = M4(2).22D10φ: C22/C1 → C22 ⊆ Out C4.Dic5804C4.Dic5.8C2^2320,450
C4.Dic5.9C22 = C42.196D10φ: C22/C1 → C22 ⊆ Out C4.Dic5804C4.Dic5.9C2^2320,451
C4.Dic5.10C22 = D4.9D20φ: C22/C1 → C22 ⊆ Out C4.Dic5804-C4.Dic5.10C2^2320,453
C4.Dic5.11C22 = D4.10D20φ: C22/C1 → C22 ⊆ Out C4.Dic5804C4.Dic5.11C2^2320,454
C4.Dic5.12C22 = D5xC8.C4φ: C22/C1 → C22 ⊆ Out C4.Dic5804C4.Dic5.12C2^2320,519
C4.Dic5.13C22 = M4(2).25D10φ: C22/C1 → C22 ⊆ Out C4.Dic5804C4.Dic5.13C2^2320,520
C4.Dic5.14C22 = D20.14D4φ: C22/C1 → C22 ⊆ Out C4.Dic5804C4.Dic5.14C2^2320,689
C4.Dic5.15C22 = D20.15D4φ: C22/C1 → C22 ⊆ Out C4.Dic5804C4.Dic5.15C2^2320,722
C4.Dic5.16C22 = D4.3D20φ: C22/C1 → C22 ⊆ Out C4.Dic5804C4.Dic5.16C2^2320,768
C4.Dic5.17C22 = D4.4D20φ: C22/C1 → C22 ⊆ Out C4.Dic5804+C4.Dic5.17C2^2320,769
C4.Dic5.18C22 = D4.5D20φ: C22/C1 → C22 ⊆ Out C4.Dic51604-C4.Dic5.18C2^2320,770
C4.Dic5.19C22 = C40.23D4φ: C22/C1 → C22 ⊆ Out C4.Dic5804C4.Dic5.19C2^2320,787
C4.Dic5.20C22 = C40.44D4φ: C22/C1 → C22 ⊆ Out C4.Dic5804C4.Dic5.20C2^2320,804
C4.Dic5.21C22 = C40.29D4φ: C22/C1 → C22 ⊆ Out C4.Dic51604C4.Dic5.21C2^2320,819
C4.Dic5.22C22 = D8:5Dic5φ: C22/C1 → C22 ⊆ Out C4.Dic5804C4.Dic5.22C2^2320,823
C4.Dic5.23C22 = D8:4Dic5φ: C22/C1 → C22 ⊆ Out C4.Dic5804C4.Dic5.23C2^2320,824
C4.Dic5.24C22 = M4(2).D10φ: C22/C1 → C22 ⊆ Out C4.Dic5808+C4.Dic5.24C2^2320,826
C4.Dic5.25C22 = M4(2).13D10φ: C22/C1 → C22 ⊆ Out C4.Dic5808-C4.Dic5.25C2^2320,827
C4.Dic5.26C22 = D20.38D4φ: C22/C1 → C22 ⊆ Out C4.Dic5808-C4.Dic5.26C2^2320,828
C4.Dic5.27C22 = M4(2).15D10φ: C22/C1 → C22 ⊆ Out C4.Dic5808+C4.Dic5.27C2^2320,830
C4.Dic5.28C22 = M4(2).16D10φ: C22/C1 → C22 ⊆ Out C4.Dic51608-C4.Dic5.28C2^2320,831
C4.Dic5.29C22 = D20.40D4φ: C22/C1 → C22 ⊆ Out C4.Dic5808-C4.Dic5.29C2^2320,832
C4.Dic5.30C22 = 2- 1+4:2D5φ: C22/C1 → C22 ⊆ Out C4.Dic5808+C4.Dic5.30C2^2320,872
C4.Dic5.31C22 = 2- 1+4.2D5φ: C22/C1 → C22 ⊆ Out C4.Dic5808-C4.Dic5.31C2^2320,873
C4.Dic5.32C22 = D20.35C23φ: C22/C1 → C22 ⊆ Out C4.Dic51608-C4.Dic5.32C2^2320,1510
C4.Dic5.33C22 = D40:17C4φ: C22/C2 → C2 ⊆ Out C4.Dic5802C4.Dic5.33C2^2320,327
C4.Dic5.34C22 = D40:10C4φ: C22/C2 → C2 ⊆ Out C4.Dic5804C4.Dic5.34C2^2320,344
C4.Dic5.35C22 = C2xC40.6C4φ: C22/C2 → C2 ⊆ Out C4.Dic5160C4.Dic5.35C2^2320,734
C4.Dic5.36C22 = M4(2).Dic5φ: C22/C2 → C2 ⊆ Out C4.Dic5804C4.Dic5.36C2^2320,752
C4.Dic5.37C22 = C8.20D20φ: C22/C2 → C2 ⊆ Out C4.Dic51604-C4.Dic5.37C2^2320,523
C4.Dic5.38C22 = C8.21D20φ: C22/C2 → C2 ⊆ Out C4.Dic5804+C4.Dic5.38C2^2320,524
C4.Dic5.39C22 = C8.24D20φ: C22/C2 → C2 ⊆ Out C4.Dic5804C4.Dic5.39C2^2320,525
C4.Dic5.40C22 = C2xC20.53D4φ: C22/C2 → C2 ⊆ Out C4.Dic5160C4.Dic5.40C2^2320,750
C4.Dic5.41C22 = C23.Dic10φ: C22/C2 → C2 ⊆ Out C4.Dic5804C4.Dic5.41C2^2320,751
C4.Dic5.42C22 = M4(2).31D10φ: C22/C2 → C2 ⊆ Out C4.Dic5804C4.Dic5.42C2^2320,759
C4.Dic5.43C22 = C2xC4.12D20φ: C22/C2 → C2 ⊆ Out C4.Dic5160C4.Dic5.43C2^2320,763
C4.Dic5.44C22 = C40.93D4φ: C22/C2 → C2 ⊆ Out C4.Dic5804C4.Dic5.44C2^2320,771
C4.Dic5.45C22 = C40.50D4φ: C22/C2 → C2 ⊆ Out C4.Dic5804C4.Dic5.45C2^2320,772
C4.Dic5.46C22 = C2xC20.10D4φ: C22/C2 → C2 ⊆ Out C4.Dic5160C4.Dic5.46C2^2320,853
C4.Dic5.47C22 = (D4xC10).29C4φ: C22/C2 → C2 ⊆ Out C4.Dic5804C4.Dic5.47C2^2320,864
C4.Dic5.48C22 = D20.30D4φ: C22/C2 → C2 ⊆ Out C4.Dic51604C4.Dic5.48C2^2320,1438
C4.Dic5.49C22 = D20.47D4φ: C22/C2 → C2 ⊆ Out C4.Dic51604-C4.Dic5.49C2^2320,1443

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