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Extensions 1→N→G→Q→1 with N=C6 and Q=C22wrC2

Direct product G=NxQ with N=C6 and Q=C22wrC2
dρLabelID
C6xC22wrC248C6xC2^2wrC2192,1410

Semidirect products G=N:Q with N=C6 and Q=C22wrC2
extensionφ:Q→Aut NdρLabelID
C6:1C22wrC2 = C2xD6:D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C648C6:1C2^2wrC2192,1046
C6:2C22wrC2 = C2xC23:2D6φ: C22wrC2/C2xD4 → C2 ⊆ Aut C648C6:2C2^2wrC2192,1358
C6:3C22wrC2 = C2xC24:4S3φ: C22wrC2/C24 → C2 ⊆ Aut C648C6:3C2^2wrC2192,1399

Non-split extensions G=N.Q with N=C6 and Q=C22wrC2
extensionφ:Q→Aut NdρLabelID
C6.1C22wrC2 = (C2xC4):Dic6φ: C22wrC2/C22:C4 → C2 ⊆ Aut C6192C6.1C2^2wrC2192,215
C6.2C22wrC2 = (C2xC4):9D12φ: C22wrC2/C22:C4 → C2 ⊆ Aut C696C6.2C2^2wrC2192,224
C6.3C22wrC2 = D6:C4:C4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C696C6.3C2^2wrC2192,227
C6.4C22wrC2 = (C2xC12):5D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C696C6.4C2^2wrC2192,230
C6.5C22wrC2 = C6.C22wrC2φ: C22wrC2/C22:C4 → C2 ⊆ Aut C696C6.5C2^2wrC2192,231
C6.6C22wrC2 = (C22xS3):Q8φ: C22wrC2/C22:C4 → C2 ⊆ Aut C696C6.6C2^2wrC2192,232
C6.7C22wrC2 = D12.31D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C648C6.7C2^2wrC2192,290
C6.8C22wrC2 = D12:13D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C648C6.8C2^2wrC2192,291
C6.9C22wrC2 = D12.32D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C696C6.9C2^2wrC2192,292
C6.10C22wrC2 = D12:14D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C696C6.10C2^2wrC2192,293
C6.11C22wrC2 = Dic6:14D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C696C6.11C2^2wrC2192,297
C6.12C22wrC2 = Dic6.32D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C696C6.12C2^2wrC2192,298
C6.13C22wrC2 = C23:D12φ: C22wrC2/C22:C4 → C2 ⊆ Aut C6248+C6.13C2^2wrC2192,300
C6.14C22wrC2 = C23.5D12φ: C22wrC2/C22:C4 → C2 ⊆ Aut C6488-C6.14C2^2wrC2192,301
C6.15C22wrC2 = M4(2):D6φ: C22wrC2/C22:C4 → C2 ⊆ Aut C6488-C6.15C2^2wrC2192,305
C6.16C22wrC2 = D12:1D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C6248+C6.16C2^2wrC2192,306
C6.17C22wrC2 = D12.4D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C6488-C6.17C2^2wrC2192,311
C6.18C22wrC2 = D12.5D4φ: C22wrC2/C22:C4 → C2 ⊆ Aut C6488+C6.18C2^2wrC2192,312
C6.19C22wrC2 = D4:D12φ: C22wrC2/C22:C4 → C2 ⊆ Aut C648C6.19C2^2wrC2192,332
C6.20C22wrC2 = D6:5SD16φ: C22wrC2/C22:C4 → C2 ⊆ Aut C648C6.20C2^2wrC2192,335
C6.21C22wrC2 = D4:3D12φ: C22wrC2/C22:C4 → C2 ⊆ Aut C696C6.21C2^2wrC2192,340
C6.22C22wrC2 = D4.D12φ: C22wrC2/C22:C4 → C2 ⊆ Aut C696C6.22C2^2wrC2192,342
C6.23C22wrC2 = Q8:3D12φ: C22wrC2/C22:C4 → C2 ⊆ Aut C696C6.23C2^2wrC2192,365
C6.24C22wrC2 = Q8.11D12φ: C22wrC2/C22:C4 → C2 ⊆ Aut C696C6.24C2^2wrC2192,367
C6.25C22wrC2 = D6:Q16φ: C22wrC2/C22:C4 → C2 ⊆ Aut C696C6.25C2^2wrC2192,368
C6.26C22wrC2 = Q8:4D12φ: C22wrC2/C22:C4 → C2 ⊆ Aut C696C6.26C2^2wrC2192,369
C6.27C22wrC2 = Q8:5D12φ: C22wrC2/C22:C4 → C2 ⊆ Aut C6244+C6.27C2^2wrC2192,381
C6.28C22wrC2 = C42:5D6φ: C22wrC2/C22:C4 → C2 ⊆ Aut C6484C6.28C2^2wrC2192,384
C6.29C22wrC2 = Q8.14D12φ: C22wrC2/C22:C4 → C2 ⊆ Aut C6484-C6.29C2^2wrC2192,385
C6.30C22wrC2 = D4.10D12φ: C22wrC2/C22:C4 → C2 ⊆ Aut C6484C6.30C2^2wrC2192,386
C6.31C22wrC2 = C24.58D6φ: C22wrC2/C22:C4 → C2 ⊆ Aut C696C6.31C2^2wrC2192,509
C6.32C22wrC2 = C24.60D6φ: C22wrC2/C22:C4 → C2 ⊆ Aut C696C6.32C2^2wrC2192,517
C6.33C22wrC2 = C23:3D12φ: C22wrC2/C22:C4 → C2 ⊆ Aut C696C6.33C2^2wrC2192,519
C6.34C22wrC2 = C24.27D6φ: C22wrC2/C22:C4 → C2 ⊆ Aut C696C6.34C2^2wrC2192,520
C6.35C22wrC2 = C24.57D6φ: C22wrC2/C2xD4 → C2 ⊆ Aut C696C6.35C2^2wrC2192,505
C6.36C22wrC2 = C23:2Dic6φ: C22wrC2/C2xD4 → C2 ⊆ Aut C696C6.36C2^2wrC2192,506
C6.37C22wrC2 = C24.59D6φ: C22wrC2/C2xD4 → C2 ⊆ Aut C648C6.37C2^2wrC2192,514
C6.38C22wrC2 = C24.23D6φ: C22wrC2/C2xD4 → C2 ⊆ Aut C696C6.38C2^2wrC2192,515
C6.39C22wrC2 = C24.25D6φ: C22wrC2/C2xD4 → C2 ⊆ Aut C696C6.39C2^2wrC2192,518
C6.40C22wrC2 = (C2xDic3):Q8φ: C22wrC2/C2xD4 → C2 ⊆ Aut C6192C6.40C2^2wrC2192,538
C6.41C22wrC2 = D6:C4:6C4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C696C6.41C2^2wrC2192,548
C6.42C22wrC2 = (C2xC4):3D12φ: C22wrC2/C2xD4 → C2 ⊆ Aut C696C6.42C2^2wrC2192,550
C6.43C22wrC2 = C24:6D6φ: C22wrC2/C2xD4 → C2 ⊆ Aut C6244C6.43C2^2wrC2192,591
C6.44C22wrC2 = D12:16D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C648C6.44C2^2wrC2192,595
C6.45C22wrC2 = D12:17D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C696C6.45C2^2wrC2192,596
C6.46C22wrC2 = Dic6:17D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C696C6.46C2^2wrC2192,599
C6.47C22wrC2 = D12.36D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C648C6.47C2^2wrC2192,605
C6.48C22wrC2 = D12.37D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C696C6.48C2^2wrC2192,606
C6.49C22wrC2 = Dic6.37D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C696C6.49C2^2wrC2192,609
C6.50C22wrC2 = C22:C4:D6φ: C22wrC2/C2xD4 → C2 ⊆ Aut C6484C6.50C2^2wrC2192,612
C6.51C22wrC2 = C42:7D6φ: C22wrC2/C2xD4 → C2 ⊆ Aut C6484C6.51C2^2wrC2192,620
C6.52C22wrC2 = D12.14D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C6484C6.52C2^2wrC2192,621
C6.53C22wrC2 = C42:8D6φ: C22wrC2/C2xD4 → C2 ⊆ Aut C6244C6.53C2^2wrC2192,636
C6.54C22wrC2 = D12.15D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C6484C6.54C2^2wrC2192,654
C6.55C22wrC2 = D12:D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C648C6.55C2^2wrC2192,715
C6.56C22wrC2 = Dic6:D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C696C6.56C2^2wrC2192,717
C6.57C22wrC2 = D6:6SD16φ: C22wrC2/C2xD4 → C2 ⊆ Aut C648C6.57C2^2wrC2192,728
C6.58C22wrC2 = D6:8SD16φ: C22wrC2/C2xD4 → C2 ⊆ Aut C696C6.58C2^2wrC2192,729
C6.59C22wrC2 = D12:7D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C696C6.59C2^2wrC2192,731
C6.60C22wrC2 = Dic6.16D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C696C6.60C2^2wrC2192,732
C6.61C22wrC2 = D6:5Q16φ: C22wrC2/C2xD4 → C2 ⊆ Aut C696C6.61C2^2wrC2192,745
C6.62C22wrC2 = D12.17D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C696C6.62C2^2wrC2192,746
C6.63C22wrC2 = D12:18D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C6248+C6.63C2^2wrC2192,757
C6.64C22wrC2 = D12.38D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C6488-C6.64C2^2wrC2192,760
C6.65C22wrC2 = D12.39D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C6488+C6.65C2^2wrC2192,761
C6.66C22wrC2 = D12.40D4φ: C22wrC2/C2xD4 → C2 ⊆ Aut C6488-C6.66C2^2wrC2192,764
C6.67C22wrC2 = C24.29D6φ: C22wrC2/C2xD4 → C2 ⊆ Aut C696C6.67C2^2wrC2192,779
C6.68C22wrC2 = C24.32D6φ: C22wrC2/C2xD4 → C2 ⊆ Aut C696C6.68C2^2wrC2192,782
C6.69C22wrC2 = C24.73D6φ: C22wrC2/C24 → C2 ⊆ Aut C696C6.69C2^2wrC2192,769
C6.70C22wrC2 = C24.76D6φ: C22wrC2/C24 → C2 ⊆ Aut C696C6.70C2^2wrC2192,772
C6.71C22wrC2 = (C2xC6):8D8φ: C22wrC2/C24 → C2 ⊆ Aut C648C6.71C2^2wrC2192,776
C6.72C22wrC2 = (C3xD4).31D4φ: C22wrC2/C24 → C2 ⊆ Aut C648C6.72C2^2wrC2192,777
C6.73C22wrC2 = C24.31D6φ: C22wrC2/C24 → C2 ⊆ Aut C696C6.73C2^2wrC2192,781
C6.74C22wrC2 = (C3xQ8):13D4φ: C22wrC2/C24 → C2 ⊆ Aut C696C6.74C2^2wrC2192,786
C6.75C22wrC2 = (C2xC6):8Q16φ: C22wrC2/C24 → C2 ⊆ Aut C696C6.75C2^2wrC2192,787
C6.76C22wrC2 = C22.52(S3xQ8)φ: C22wrC2/C24 → C2 ⊆ Aut C6192C6.76C2^2wrC2192,789
C6.77C22wrC2 = (C22xQ8):9S3φ: C22wrC2/C24 → C2 ⊆ Aut C696C6.77C2^2wrC2192,790
C6.78C22wrC2 = (C3xD4):14D4φ: C22wrC2/C24 → C2 ⊆ Aut C696C6.78C2^2wrC2192,797
C6.79C22wrC2 = (C3xD4).32D4φ: C22wrC2/C24 → C2 ⊆ Aut C696C6.79C2^2wrC2192,798
C6.80C22wrC2 = 2+ 1+4:6S3φ: C22wrC2/C24 → C2 ⊆ Aut C6248+C6.80C2^2wrC2192,800
C6.81C22wrC2 = 2+ 1+4.4S3φ: C22wrC2/C24 → C2 ⊆ Aut C6488-C6.81C2^2wrC2192,801
C6.82C22wrC2 = 2+ 1+4.5S3φ: C22wrC2/C24 → C2 ⊆ Aut C6488-C6.82C2^2wrC2192,802
C6.83C22wrC2 = 2+ 1+4:7S3φ: C22wrC2/C24 → C2 ⊆ Aut C6248+C6.83C2^2wrC2192,803
C6.84C22wrC2 = 2- 1+4:4S3φ: C22wrC2/C24 → C2 ⊆ Aut C6488+C6.84C2^2wrC2192,804
C6.85C22wrC2 = 2- 1+4.2S3φ: C22wrC2/C24 → C2 ⊆ Aut C6488-C6.85C2^2wrC2192,805
C6.86C22wrC2 = C25.4S3φ: C22wrC2/C24 → C2 ⊆ Aut C648C6.86C2^2wrC2192,806
C6.87C22wrC2 = C3xC24:3C4central extension (φ=1)48C6.87C2^2wrC2192,812
C6.88C22wrC2 = C3xC23.8Q8central extension (φ=1)96C6.88C2^2wrC2192,818
C6.89C22wrC2 = C3xC23.23D4central extension (φ=1)96C6.89C2^2wrC2192,819
C6.90C22wrC2 = C3xC23:2D4central extension (φ=1)96C6.90C2^2wrC2192,825
C6.91C22wrC2 = C3xC23:Q8central extension (φ=1)96C6.91C2^2wrC2192,826
C6.92C22wrC2 = C3xC23.10D4central extension (φ=1)96C6.92C2^2wrC2192,827
C6.93C22wrC2 = C3xC23.78C23central extension (φ=1)192C6.93C2^2wrC2192,828
C6.94C22wrC2 = C3xC22:D8central extension (φ=1)48C6.94C2^2wrC2192,880
C6.95C22wrC2 = C3xQ8:D4central extension (φ=1)96C6.95C2^2wrC2192,881
C6.96C22wrC2 = C3xD4:D4central extension (φ=1)96C6.96C2^2wrC2192,882
C6.97C22wrC2 = C3xC22:SD16central extension (φ=1)48C6.97C2^2wrC2192,883
C6.98C22wrC2 = C3xC22:Q16central extension (φ=1)96C6.98C2^2wrC2192,884
C6.99C22wrC2 = C3xD4.7D4central extension (φ=1)96C6.99C2^2wrC2192,885
C6.100C22wrC2 = C3xD4:4D4central extension (φ=1)244C6.100C2^2wrC2192,886
C6.101C22wrC2 = C3xD4.8D4central extension (φ=1)484C6.101C2^2wrC2192,887
C6.102C22wrC2 = C3xD4.9D4central extension (φ=1)484C6.102C2^2wrC2192,888
C6.103C22wrC2 = C3xD4.10D4central extension (φ=1)484C6.103C2^2wrC2192,889
C6.104C22wrC2 = C3xC2wrC22central extension (φ=1)244C6.104C2^2wrC2192,890
C6.105C22wrC2 = C3xC23.7D4central extension (φ=1)484C6.105C2^2wrC2192,891

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