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Extensions 1→N→G→Q→1 with N=C10 and Q=C22wrC2

Direct product G=NxQ with N=C10 and Q=C22wrC2
dρLabelID
C10xC22wrC280C10xC2^2wrC2320,1523

Semidirect products G=N:Q with N=C10 and Q=C22wrC2
extensionφ:Q→Aut NdρLabelID
C10:1C22wrC2 = C2xC22:D20φ: C22wrC2/C22:C4 → C2 ⊆ Aut C1080C10:1C2^2wrC2320,1159
C10:2C22wrC2 = C2xC23:D10φ: C22wrC2/C2xD4 → C2 ⊆ Aut C1080C10:2C2^2wrC2320,1471
C10:3C22wrC2 = C2xC24:2D5φ: C22wrC2/C24 → C2 ⊆ Aut C1080C10:3C2^2wrC2320,1512

Non-split extensions G=N.Q with N=C10 and Q=C22wrC2
extensionφ:Q→Aut NdρLabelID
C10.1C22wrC2 = (C2xDic5):Q8φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10320C10.1C2^2wrC2320,283
C10.2C22wrC2 = (C2xC4):9D20φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10160C10.2C2^2wrC2320,292
C10.3C22wrC2 = D10:3(C4:C4)φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10160C10.3C2^2wrC2320,295
C10.4C22wrC2 = (C2xC20):5D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10160C10.4C2^2wrC2320,298
C10.5C22wrC2 = (C2xDic5):3D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10160C10.5C2^2wrC2320,299
C10.6C22wrC2 = (C2xC4).20D20φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10160C10.6C2^2wrC2320,300
C10.7C22wrC2 = D20.31D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C1080C10.7C2^2wrC2320,358
C10.8C22wrC2 = D20:13D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C1080C10.8C2^2wrC2320,359
C10.9C22wrC2 = D20.32D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10160C10.9C2^2wrC2320,360
C10.10C22wrC2 = D20:14D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10160C10.10C2^2wrC2320,361
C10.11C22wrC2 = Dic10:14D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10160C10.11C2^2wrC2320,365
C10.12C22wrC2 = C22:Dic20φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10160C10.12C2^2wrC2320,366
C10.13C22wrC2 = C23:D20φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10408+C10.13C2^2wrC2320,368
C10.14C22wrC2 = C23.5D20φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10808-C10.14C2^2wrC2320,369
C10.15C22wrC2 = D20.1D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10808-C10.15C2^2wrC2320,373
C10.16C22wrC2 = D20:1D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10408+C10.16C2^2wrC2320,374
C10.17C22wrC2 = D20.4D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10808-C10.17C2^2wrC2320,379
C10.18C22wrC2 = D20.5D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10808+C10.18C2^2wrC2320,380
C10.19C22wrC2 = D4:D20φ: C22wrC2/C22:C4 → C2 ⊆ Aut C1080C10.19C2^2wrC2320,400
C10.20C22wrC2 = D20.8D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C1080C10.20C2^2wrC2320,403
C10.21C22wrC2 = D4:3D20φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10160C10.21C2^2wrC2320,408
C10.22C22wrC2 = D4.D20φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10160C10.22C2^2wrC2320,410
C10.23C22wrC2 = Q8:2D20φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10160C10.23C2^2wrC2320,433
C10.24C22wrC2 = D10:4Q16φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10160C10.24C2^2wrC2320,435
C10.25C22wrC2 = Q8.D20φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10160C10.25C2^2wrC2320,437
C10.26C22wrC2 = D20:4D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10160C10.26C2^2wrC2320,438
C10.27C22wrC2 = D4:4D20φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10404+C10.27C2^2wrC2320,449
C10.28C22wrC2 = M4(2):D10φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10804C10.28C2^2wrC2320,452
C10.29C22wrC2 = D4.9D20φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10804-C10.29C2^2wrC2320,453
C10.30C22wrC2 = D4.10D20φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10804C10.30C2^2wrC2320,454
C10.31C22wrC2 = C24.47D10φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10160C10.31C2^2wrC2320,577
C10.32C22wrC2 = C23.45D20φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10160C10.32C2^2wrC2320,585
C10.33C22wrC2 = C23:2D20φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10160C10.33C2^2wrC2320,587
C10.34C22wrC2 = C24.16D10φ: C22wrC2/C22:C4 → C2 ⊆ Aut C10160C10.34C2^2wrC2320,588
C10.35C22wrC2 = C24.46D10φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10160C10.35C2^2wrC2320,573
C10.36C22wrC2 = C23:Dic10φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10160C10.36C2^2wrC2320,574
C10.37C22wrC2 = C24.48D10φ: C22wrC2/C2xD4 → C2 ⊆ Aut C1080C10.37C2^2wrC2320,582
C10.38C22wrC2 = C24.12D10φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10160C10.38C2^2wrC2320,583
C10.39C22wrC2 = C24.14D10φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10160C10.39C2^2wrC2320,586
C10.40C22wrC2 = (C2xC4):Dic10φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10320C10.40C2^2wrC2320,606
C10.41C22wrC2 = D10:5(C4:C4)φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10160C10.41C2^2wrC2320,616
C10.42C22wrC2 = (C2xC4):3D20φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10160C10.42C2^2wrC2320,618
C10.43C22wrC2 = C24:2D10φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10404C10.43C2^2wrC2320,659
C10.44C22wrC2 = D20:16D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C1080C10.44C2^2wrC2320,663
C10.45C22wrC2 = D20:17D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10160C10.45C2^2wrC2320,664
C10.46C22wrC2 = Dic10:17D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10160C10.46C2^2wrC2320,667
C10.47C22wrC2 = D20.36D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C1080C10.47C2^2wrC2320,673
C10.48C22wrC2 = D20.37D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10160C10.48C2^2wrC2320,674
C10.49C22wrC2 = Dic10.37D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10160C10.49C2^2wrC2320,677
C10.50C22wrC2 = C22:C4:D10φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10804C10.50C2^2wrC2320,680
C10.51C22wrC2 = C42:5D10φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10804C10.51C2^2wrC2320,688
C10.52C22wrC2 = D20.14D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10804C10.52C2^2wrC2320,689
C10.53C22wrC2 = D20:5D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10404C10.53C2^2wrC2320,704
C10.54C22wrC2 = D20.15D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10804C10.54C2^2wrC2320,722
C10.55C22wrC2 = D20:D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C1080C10.55C2^2wrC2320,783
C10.56C22wrC2 = Dic10:D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10160C10.56C2^2wrC2320,785
C10.57C22wrC2 = D10:6SD16φ: C22wrC2/C2xD4 → C2 ⊆ Aut C1080C10.57C2^2wrC2320,796
C10.58C22wrC2 = D10:8SD16φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10160C10.58C2^2wrC2320,797
C10.59C22wrC2 = D20:7D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10160C10.59C2^2wrC2320,799
C10.60C22wrC2 = Dic10.16D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10160C10.60C2^2wrC2320,800
C10.61C22wrC2 = D10:5Q16φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10160C10.61C2^2wrC2320,813
C10.62C22wrC2 = D20.17D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10160C10.62C2^2wrC2320,814
C10.63C22wrC2 = D20:18D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10408+C10.63C2^2wrC2320,825
C10.64C22wrC2 = D20.38D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10808-C10.64C2^2wrC2320,828
C10.65C22wrC2 = D20.39D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10808+C10.65C2^2wrC2320,829
C10.66C22wrC2 = D20.40D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10808-C10.66C2^2wrC2320,832
C10.67C22wrC2 = C24.18D10φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10160C10.67C2^2wrC2320,847
C10.68C22wrC2 = C24.21D10φ: C22wrC2/C2xD4 → C2 ⊆ Aut C10160C10.68C2^2wrC2320,850
C10.69C22wrC2 = C24.62D10φ: C22wrC2/C24 → C2 ⊆ Aut C10160C10.69C2^2wrC2320,837
C10.70C22wrC2 = C24.65D10φ: C22wrC2/C24 → C2 ⊆ Aut C10160C10.70C2^2wrC2320,840
C10.71C22wrC2 = (C2xC10):8D8φ: C22wrC2/C24 → C2 ⊆ Aut C1080C10.71C2^2wrC2320,844
C10.72C22wrC2 = (C5xD4).31D4φ: C22wrC2/C24 → C2 ⊆ Aut C1080C10.72C2^2wrC2320,845
C10.73C22wrC2 = C24.20D10φ: C22wrC2/C24 → C2 ⊆ Aut C10160C10.73C2^2wrC2320,849
C10.74C22wrC2 = (C5xQ8):13D4φ: C22wrC2/C24 → C2 ⊆ Aut C10160C10.74C2^2wrC2320,854
C10.75C22wrC2 = (C2xC10):8Q16φ: C22wrC2/C24 → C2 ⊆ Aut C10160C10.75C2^2wrC2320,855
C10.76C22wrC2 = C10.C22wrC2φ: C22wrC2/C24 → C2 ⊆ Aut C10320C10.76C2^2wrC2320,856
C10.77C22wrC2 = (C22xD5):Q8φ: C22wrC2/C24 → C2 ⊆ Aut C10160C10.77C2^2wrC2320,858
C10.78C22wrC2 = (C5xD4):14D4φ: C22wrC2/C24 → C2 ⊆ Aut C10160C10.78C2^2wrC2320,865
C10.79C22wrC2 = (C5xD4).32D4φ: C22wrC2/C24 → C2 ⊆ Aut C10160C10.79C2^2wrC2320,866
C10.80C22wrC2 = 2+ 1+4:D5φ: C22wrC2/C24 → C2 ⊆ Aut C10408+C10.80C2^2wrC2320,868
C10.81C22wrC2 = 2+ 1+4.D5φ: C22wrC2/C24 → C2 ⊆ Aut C10808-C10.81C2^2wrC2320,869
C10.82C22wrC2 = 2+ 1+4.2D5φ: C22wrC2/C24 → C2 ⊆ Aut C10808-C10.82C2^2wrC2320,870
C10.83C22wrC2 = 2+ 1+4:2D5φ: C22wrC2/C24 → C2 ⊆ Aut C10408+C10.83C2^2wrC2320,871
C10.84C22wrC2 = 2- 1+4:2D5φ: C22wrC2/C24 → C2 ⊆ Aut C10808+C10.84C2^2wrC2320,872
C10.85C22wrC2 = 2- 1+4.2D5φ: C22wrC2/C24 → C2 ⊆ Aut C10808-C10.85C2^2wrC2320,873
C10.86C22wrC2 = C25.2D5φ: C22wrC2/C24 → C2 ⊆ Aut C1080C10.86C2^2wrC2320,874
C10.87C22wrC2 = C5xC24:3C4central extension (φ=1)80C10.87C2^2wrC2320,880
C10.88C22wrC2 = C5xC23.8Q8central extension (φ=1)160C10.88C2^2wrC2320,886
C10.89C22wrC2 = C5xC23.23D4central extension (φ=1)160C10.89C2^2wrC2320,887
C10.90C22wrC2 = C5xC23:2D4central extension (φ=1)160C10.90C2^2wrC2320,893
C10.91C22wrC2 = C5xC23:Q8central extension (φ=1)160C10.91C2^2wrC2320,894
C10.92C22wrC2 = C5xC23.10D4central extension (φ=1)160C10.92C2^2wrC2320,895
C10.93C22wrC2 = C5xC23.78C23central extension (φ=1)320C10.93C2^2wrC2320,896
C10.94C22wrC2 = C5xC22:D8central extension (φ=1)80C10.94C2^2wrC2320,948
C10.95C22wrC2 = C5xQ8:D4central extension (φ=1)160C10.95C2^2wrC2320,949
C10.96C22wrC2 = C5xD4:D4central extension (φ=1)160C10.96C2^2wrC2320,950
C10.97C22wrC2 = C5xC22:SD16central extension (φ=1)80C10.97C2^2wrC2320,951
C10.98C22wrC2 = C5xC22:Q16central extension (φ=1)160C10.98C2^2wrC2320,952
C10.99C22wrC2 = C5xD4.7D4central extension (φ=1)160C10.99C2^2wrC2320,953
C10.100C22wrC2 = C5xD4:4D4central extension (φ=1)404C10.100C2^2wrC2320,954
C10.101C22wrC2 = C5xD4.8D4central extension (φ=1)804C10.101C2^2wrC2320,955
C10.102C22wrC2 = C5xD4.9D4central extension (φ=1)804C10.102C2^2wrC2320,956
C10.103C22wrC2 = C5xD4.10D4central extension (φ=1)804C10.103C2^2wrC2320,957
C10.104C22wrC2 = C5xC2wrC22central extension (φ=1)404C10.104C2^2wrC2320,958
C10.105C22wrC2 = C5xC23.7D4central extension (φ=1)804C10.105C2^2wrC2320,959

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