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Extensions 1→N→G→Q→1 with N=C14 and Q=C22wrC2

Direct product G=NxQ with N=C14 and Q=C22wrC2
dρLabelID
C14xC22wrC2112C14xC2^2wrC2448,1304

Semidirect products G=N:Q with N=C14 and Q=C22wrC2
extensionφ:Q→Aut NdρLabelID
C14:1C22wrC2 = C2xC22:D28φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14112C14:1C2^2wrC2448,940
C14:2C22wrC2 = C2xC23:D14φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14112C14:2C2^2wrC2448,1252
C14:3C22wrC2 = C2xC24:D7φ: C22wrC2/C24 → C2 ⊆ Aut C14112C14:3C2^2wrC2448,1293

Non-split extensions G=N.Q with N=C14 and Q=C22wrC2
extensionφ:Q→Aut NdρLabelID
C14.1C22wrC2 = (C2xDic7):Q8φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14448C14.1C2^2wrC2448,190
C14.2C22wrC2 = (C2xC4):9D28φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14224C14.2C2^2wrC2448,199
C14.3C22wrC2 = D14:C4:C4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14224C14.3C2^2wrC2448,202
C14.4C22wrC2 = (C2xC28):5D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14224C14.4C2^2wrC2448,205
C14.5C22wrC2 = (C2xDic7):3D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14224C14.5C2^2wrC2448,206
C14.6C22wrC2 = (C2xC4).20D28φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14224C14.6C2^2wrC2448,207
C14.7C22wrC2 = D28.31D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14112C14.7C2^2wrC2448,265
C14.8C22wrC2 = D28:13D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14112C14.8C2^2wrC2448,266
C14.9C22wrC2 = D28.32D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14224C14.9C2^2wrC2448,267
C14.10C22wrC2 = D28:14D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14224C14.10C2^2wrC2448,268
C14.11C22wrC2 = Dic14:14D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14224C14.11C2^2wrC2448,272
C14.12C22wrC2 = C22:Dic28φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14224C14.12C2^2wrC2448,273
C14.13C22wrC2 = C23:D28φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14568+C14.13C2^2wrC2448,275
C14.14C22wrC2 = C23.5D28φ: C22wrC2/C22:C4 → C2 ⊆ Aut C141128-C14.14C2^2wrC2448,276
C14.15C22wrC2 = D28.1D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C141128-C14.15C2^2wrC2448,280
C14.16C22wrC2 = D28:1D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14568+C14.16C2^2wrC2448,281
C14.17C22wrC2 = D28.4D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C141128-C14.17C2^2wrC2448,286
C14.18C22wrC2 = D28.5D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C141128+C14.18C2^2wrC2448,287
C14.19C22wrC2 = D4:D28φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14112C14.19C2^2wrC2448,307
C14.20C22wrC2 = D4.6D28φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14112C14.20C2^2wrC2448,310
C14.21C22wrC2 = D4:3D28φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14224C14.21C2^2wrC2448,315
C14.22C22wrC2 = D4.D28φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14224C14.22C2^2wrC2448,317
C14.23C22wrC2 = Q8:2D28φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14224C14.23C2^2wrC2448,340
C14.24C22wrC2 = D14:4Q16φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14224C14.24C2^2wrC2448,342
C14.25C22wrC2 = Q8.D28φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14224C14.25C2^2wrC2448,344
C14.26C22wrC2 = D28:4D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14224C14.26C2^2wrC2448,345
C14.27C22wrC2 = D4:4D28φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14564+C14.27C2^2wrC2448,356
C14.28C22wrC2 = M4(2):D14φ: C22wrC2/C22:C4 → C2 ⊆ Aut C141124C14.28C2^2wrC2448,359
C14.29C22wrC2 = D4.9D28φ: C22wrC2/C22:C4 → C2 ⊆ Aut C141124-C14.29C2^2wrC2448,360
C14.30C22wrC2 = D4.10D28φ: C22wrC2/C22:C4 → C2 ⊆ Aut C141124C14.30C2^2wrC2448,361
C14.31C22wrC2 = C24.47D14φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14224C14.31C2^2wrC2448,484
C14.32C22wrC2 = C23.45D28φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14224C14.32C2^2wrC2448,492
C14.33C22wrC2 = C23:2D28φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14224C14.33C2^2wrC2448,494
C14.34C22wrC2 = C23.16D28φ: C22wrC2/C22:C4 → C2 ⊆ Aut C14224C14.34C2^2wrC2448,495
C14.35C22wrC2 = C24.46D14φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14224C14.35C2^2wrC2448,480
C14.36C22wrC2 = C23:Dic14φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14224C14.36C2^2wrC2448,481
C14.37C22wrC2 = C23.44D28φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14112C14.37C2^2wrC2448,489
C14.38C22wrC2 = C24.12D14φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14224C14.38C2^2wrC2448,490
C14.39C22wrC2 = C24.14D14φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14224C14.39C2^2wrC2448,493
C14.40C22wrC2 = (C2xC4):Dic14φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14448C14.40C2^2wrC2448,513
C14.41C22wrC2 = D14:C4:6C4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14224C14.41C2^2wrC2448,523
C14.42C22wrC2 = (C2xC4):3D28φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14224C14.42C2^2wrC2448,525
C14.43C22wrC2 = C24:D14φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14564C14.43C2^2wrC2448,566
C14.44C22wrC2 = D28:16D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14112C14.44C2^2wrC2448,570
C14.45C22wrC2 = D28:17D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14224C14.45C2^2wrC2448,571
C14.46C22wrC2 = Dic14:17D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14224C14.46C2^2wrC2448,574
C14.47C22wrC2 = D28.36D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14112C14.47C2^2wrC2448,580
C14.48C22wrC2 = D28.37D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14224C14.48C2^2wrC2448,581
C14.49C22wrC2 = Dic14.37D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14224C14.49C2^2wrC2448,584
C14.50C22wrC2 = C22:C4:D14φ: C22wrC2/C2xD4 → C2 ⊆ Aut C141124C14.50C2^2wrC2448,587
C14.51C22wrC2 = C42:5D14φ: C22wrC2/C2xD4 → C2 ⊆ Aut C141124C14.51C2^2wrC2448,595
C14.52C22wrC2 = D28.14D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C141124C14.52C2^2wrC2448,596
C14.53C22wrC2 = D28:5D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14564C14.53C2^2wrC2448,611
C14.54C22wrC2 = D28.15D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C141124C14.54C2^2wrC2448,629
C14.55C22wrC2 = D28:D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14112C14.55C2^2wrC2448,690
C14.56C22wrC2 = Dic14:D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14224C14.56C2^2wrC2448,692
C14.57C22wrC2 = D14:6SD16φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14112C14.57C2^2wrC2448,703
C14.58C22wrC2 = Dic14:7D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14224C14.58C2^2wrC2448,704
C14.59C22wrC2 = D28:7D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14224C14.59C2^2wrC2448,706
C14.60C22wrC2 = Dic14.16D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14224C14.60C2^2wrC2448,707
C14.61C22wrC2 = D14:5Q16φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14224C14.61C2^2wrC2448,720
C14.62C22wrC2 = D28.17D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14224C14.62C2^2wrC2448,721
C14.63C22wrC2 = D28:18D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14568+C14.63C2^2wrC2448,732
C14.64C22wrC2 = D28.38D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C141128-C14.64C2^2wrC2448,735
C14.65C22wrC2 = D28.39D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C141128+C14.65C2^2wrC2448,736
C14.66C22wrC2 = D28.40D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C141128-C14.66C2^2wrC2448,739
C14.67C22wrC2 = C24.18D14φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14224C14.67C2^2wrC2448,754
C14.68C22wrC2 = C24.21D14φ: C22wrC2/C2xD4 → C2 ⊆ Aut C14224C14.68C2^2wrC2448,757
C14.69C22wrC2 = C24.62D14φ: C22wrC2/C24 → C2 ⊆ Aut C14224C14.69C2^2wrC2448,744
C14.70C22wrC2 = C23.28D28φ: C22wrC2/C24 → C2 ⊆ Aut C14224C14.70C2^2wrC2448,747
C14.71C22wrC2 = (C2xC14):8D8φ: C22wrC2/C24 → C2 ⊆ Aut C14112C14.71C2^2wrC2448,751
C14.72C22wrC2 = (C7xD4).31D4φ: C22wrC2/C24 → C2 ⊆ Aut C14112C14.72C2^2wrC2448,752
C14.73C22wrC2 = C24.20D14φ: C22wrC2/C24 → C2 ⊆ Aut C14224C14.73C2^2wrC2448,756
C14.74C22wrC2 = (C7xQ8):13D4φ: C22wrC2/C24 → C2 ⊆ Aut C14224C14.74C2^2wrC2448,761
C14.75C22wrC2 = (C2xC14):8Q16φ: C22wrC2/C24 → C2 ⊆ Aut C14224C14.75C2^2wrC2448,762
C14.76C22wrC2 = C14.C22wrC2φ: C22wrC2/C24 → C2 ⊆ Aut C14448C14.76C2^2wrC2448,763
C14.77C22wrC2 = (C22xQ8):D7φ: C22wrC2/C24 → C2 ⊆ Aut C14224C14.77C2^2wrC2448,765
C14.78C22wrC2 = (C7xD4):14D4φ: C22wrC2/C24 → C2 ⊆ Aut C14224C14.78C2^2wrC2448,772
C14.79C22wrC2 = (C7xD4).32D4φ: C22wrC2/C24 → C2 ⊆ Aut C14224C14.79C2^2wrC2448,773
C14.80C22wrC2 = 2+ 1+4:D7φ: C22wrC2/C24 → C2 ⊆ Aut C14568+C14.80C2^2wrC2448,775
C14.81C22wrC2 = 2+ 1+4.D7φ: C22wrC2/C24 → C2 ⊆ Aut C141128-C14.81C2^2wrC2448,776
C14.82C22wrC2 = 2+ 1+4.2D7φ: C22wrC2/C24 → C2 ⊆ Aut C141128-C14.82C2^2wrC2448,777
C14.83C22wrC2 = 2+ 1+4:2D7φ: C22wrC2/C24 → C2 ⊆ Aut C14568+C14.83C2^2wrC2448,778
C14.84C22wrC2 = 2- 1+4:D7φ: C22wrC2/C24 → C2 ⊆ Aut C141128+C14.84C2^2wrC2448,779
C14.85C22wrC2 = 2- 1+4.D7φ: C22wrC2/C24 → C2 ⊆ Aut C141128-C14.85C2^2wrC2448,780
C14.86C22wrC2 = C25.D7φ: C22wrC2/C24 → C2 ⊆ Aut C14112C14.86C2^2wrC2448,781
C14.87C22wrC2 = C7xC24:3C4central extension (φ=1)112C14.87C2^2wrC2448,787
C14.88C22wrC2 = C7xC23.8Q8central extension (φ=1)224C14.88C2^2wrC2448,793
C14.89C22wrC2 = C7xC23.23D4central extension (φ=1)224C14.89C2^2wrC2448,794
C14.90C22wrC2 = C7xC23:2D4central extension (φ=1)224C14.90C2^2wrC2448,800
C14.91C22wrC2 = C7xC23:Q8central extension (φ=1)224C14.91C2^2wrC2448,801
C14.92C22wrC2 = C7xC23.10D4central extension (φ=1)224C14.92C2^2wrC2448,802
C14.93C22wrC2 = C7xC23.78C23central extension (φ=1)448C14.93C2^2wrC2448,803
C14.94C22wrC2 = C7xC22:D8central extension (φ=1)112C14.94C2^2wrC2448,855
C14.95C22wrC2 = C7xQ8:D4central extension (φ=1)224C14.95C2^2wrC2448,856
C14.96C22wrC2 = C7xD4:D4central extension (φ=1)224C14.96C2^2wrC2448,857
C14.97C22wrC2 = C7xC22:SD16central extension (φ=1)112C14.97C2^2wrC2448,858
C14.98C22wrC2 = C7xC22:Q16central extension (φ=1)224C14.98C2^2wrC2448,859
C14.99C22wrC2 = C7xD4.7D4central extension (φ=1)224C14.99C2^2wrC2448,860
C14.100C22wrC2 = C7xD4:4D4central extension (φ=1)564C14.100C2^2wrC2448,861
C14.101C22wrC2 = C7xD4.8D4central extension (φ=1)1124C14.101C2^2wrC2448,862
C14.102C22wrC2 = C7xD4.9D4central extension (φ=1)1124C14.102C2^2wrC2448,863
C14.103C22wrC2 = C7xD4.10D4central extension (φ=1)1124C14.103C2^2wrC2448,864
C14.104C22wrC2 = C7xC2wrC22central extension (φ=1)564C14.104C2^2wrC2448,865
C14.105C22wrC2 = C7xC23.7D4central extension (φ=1)1124C14.105C2^2wrC2448,866

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