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Extensions 1→N→G→Q→1 with N=C6 and Q=C22≀C2

Direct product G=N×Q with N=C6 and Q=C22≀C2
dρLabelID
C6×C22≀C248C6xC2^2wrC2192,1410

Semidirect products G=N:Q with N=C6 and Q=C22≀C2
extensionφ:Q→Aut NdρLabelID
C6⋊1C22≀C2 = C2×D6⋊D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C648C6:1C2^2wrC2192,1046
C6⋊2C22≀C2 = C2×C23⋊2D6φ: C22≀C2/C2×D4 → C2 ⊆ Aut C648C6:2C2^2wrC2192,1358
C6⋊3C22≀C2 = C2×C24⋊4S3φ: C22≀C2/C24 → C2 ⊆ Aut C648C6:3C2^2wrC2192,1399

Non-split extensions G=N.Q with N=C6 and Q=C22≀C2
extensionφ:Q→Aut NdρLabelID
C6.1C22≀C2 = (C2×C4)⋊Dic6φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C6192C6.1C2^2wrC2192,215
C6.2C22≀C2 = (C2×C4)⋊9D12φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C696C6.2C2^2wrC2192,224
C6.3C22≀C2 = D6⋊C4⋊C4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C696C6.3C2^2wrC2192,227
C6.4C22≀C2 = (C2×C12)⋊5D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C696C6.4C2^2wrC2192,230
C6.5C22≀C2 = C6.C22≀C2φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C696C6.5C2^2wrC2192,231
C6.6C22≀C2 = (C22×S3)⋊Q8φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C696C6.6C2^2wrC2192,232
C6.7C22≀C2 = D12.31D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C648C6.7C2^2wrC2192,290
C6.8C22≀C2 = D12⋊13D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C648C6.8C2^2wrC2192,291
C6.9C22≀C2 = D12.32D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C696C6.9C2^2wrC2192,292
C6.10C22≀C2 = D12⋊14D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C696C6.10C2^2wrC2192,293
C6.11C22≀C2 = Dic6⋊14D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C696C6.11C2^2wrC2192,297
C6.12C22≀C2 = Dic6.32D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C696C6.12C2^2wrC2192,298
C6.13C22≀C2 = C23⋊D12φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C6248+C6.13C2^2wrC2192,300
C6.14C22≀C2 = C23.5D12φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C6488-C6.14C2^2wrC2192,301
C6.15C22≀C2 = M4(2)⋊D6φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C6488-C6.15C2^2wrC2192,305
C6.16C22≀C2 = D12⋊1D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C6248+C6.16C2^2wrC2192,306
C6.17C22≀C2 = D12.4D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C6488-C6.17C2^2wrC2192,311
C6.18C22≀C2 = D12.5D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C6488+C6.18C2^2wrC2192,312
C6.19C22≀C2 = D4⋊D12φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C648C6.19C2^2wrC2192,332
C6.20C22≀C2 = D6⋊5SD16φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C648C6.20C2^2wrC2192,335
C6.21C22≀C2 = D4⋊3D12φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C696C6.21C2^2wrC2192,340
C6.22C22≀C2 = D4.D12φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C696C6.22C2^2wrC2192,342
C6.23C22≀C2 = Q8⋊3D12φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C696C6.23C2^2wrC2192,365
C6.24C22≀C2 = Q8.11D12φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C696C6.24C2^2wrC2192,367
C6.25C22≀C2 = D6⋊Q16φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C696C6.25C2^2wrC2192,368
C6.26C22≀C2 = Q8⋊4D12φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C696C6.26C2^2wrC2192,369
C6.27C22≀C2 = Q8⋊5D12φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C6244+C6.27C2^2wrC2192,381
C6.28C22≀C2 = C42⋊5D6φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C6484C6.28C2^2wrC2192,384
C6.29C22≀C2 = Q8.14D12φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C6484-C6.29C2^2wrC2192,385
C6.30C22≀C2 = D4.10D12φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C6484C6.30C2^2wrC2192,386
C6.31C22≀C2 = C24.58D6φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C696C6.31C2^2wrC2192,509
C6.32C22≀C2 = C24.60D6φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C696C6.32C2^2wrC2192,517
C6.33C22≀C2 = C23⋊3D12φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C696C6.33C2^2wrC2192,519
C6.34C22≀C2 = C24.27D6φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C696C6.34C2^2wrC2192,520
C6.35C22≀C2 = C24.57D6φ: C22≀C2/C2×D4 → C2 ⊆ Aut C696C6.35C2^2wrC2192,505
C6.36C22≀C2 = C23⋊2Dic6φ: C22≀C2/C2×D4 → C2 ⊆ Aut C696C6.36C2^2wrC2192,506
C6.37C22≀C2 = C24.59D6φ: C22≀C2/C2×D4 → C2 ⊆ Aut C648C6.37C2^2wrC2192,514
C6.38C22≀C2 = C24.23D6φ: C22≀C2/C2×D4 → C2 ⊆ Aut C696C6.38C2^2wrC2192,515
C6.39C22≀C2 = C24.25D6φ: C22≀C2/C2×D4 → C2 ⊆ Aut C696C6.39C2^2wrC2192,518
C6.40C22≀C2 = (C2×Dic3)⋊Q8φ: C22≀C2/C2×D4 → C2 ⊆ Aut C6192C6.40C2^2wrC2192,538
C6.41C22≀C2 = D6⋊C4⋊6C4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C696C6.41C2^2wrC2192,548
C6.42C22≀C2 = (C2×C4)⋊3D12φ: C22≀C2/C2×D4 → C2 ⊆ Aut C696C6.42C2^2wrC2192,550
C6.43C22≀C2 = C24⋊6D6φ: C22≀C2/C2×D4 → C2 ⊆ Aut C6244C6.43C2^2wrC2192,591
C6.44C22≀C2 = D12⋊16D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C648C6.44C2^2wrC2192,595
C6.45C22≀C2 = D12⋊17D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C696C6.45C2^2wrC2192,596
C6.46C22≀C2 = Dic6⋊17D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C696C6.46C2^2wrC2192,599
C6.47C22≀C2 = D12.36D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C648C6.47C2^2wrC2192,605
C6.48C22≀C2 = D12.37D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C696C6.48C2^2wrC2192,606
C6.49C22≀C2 = Dic6.37D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C696C6.49C2^2wrC2192,609
C6.50C22≀C2 = C22⋊C4⋊D6φ: C22≀C2/C2×D4 → C2 ⊆ Aut C6484C6.50C2^2wrC2192,612
C6.51C22≀C2 = C42⋊7D6φ: C22≀C2/C2×D4 → C2 ⊆ Aut C6484C6.51C2^2wrC2192,620
C6.52C22≀C2 = D12.14D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C6484C6.52C2^2wrC2192,621
C6.53C22≀C2 = C42⋊8D6φ: C22≀C2/C2×D4 → C2 ⊆ Aut C6244C6.53C2^2wrC2192,636
C6.54C22≀C2 = D12.15D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C6484C6.54C2^2wrC2192,654
C6.55C22≀C2 = D12⋊D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C648C6.55C2^2wrC2192,715
C6.56C22≀C2 = Dic6⋊D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C696C6.56C2^2wrC2192,717
C6.57C22≀C2 = D6⋊6SD16φ: C22≀C2/C2×D4 → C2 ⊆ Aut C648C6.57C2^2wrC2192,728
C6.58C22≀C2 = D6⋊8SD16φ: C22≀C2/C2×D4 → C2 ⊆ Aut C696C6.58C2^2wrC2192,729
C6.59C22≀C2 = D12⋊7D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C696C6.59C2^2wrC2192,731
C6.60C22≀C2 = Dic6.16D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C696C6.60C2^2wrC2192,732
C6.61C22≀C2 = D6⋊5Q16φ: C22≀C2/C2×D4 → C2 ⊆ Aut C696C6.61C2^2wrC2192,745
C6.62C22≀C2 = D12.17D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C696C6.62C2^2wrC2192,746
C6.63C22≀C2 = D12⋊18D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C6248+C6.63C2^2wrC2192,757
C6.64C22≀C2 = D12.38D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C6488-C6.64C2^2wrC2192,760
C6.65C22≀C2 = D12.39D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C6488+C6.65C2^2wrC2192,761
C6.66C22≀C2 = D12.40D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C6488-C6.66C2^2wrC2192,764
C6.67C22≀C2 = C24.29D6φ: C22≀C2/C2×D4 → C2 ⊆ Aut C696C6.67C2^2wrC2192,779
C6.68C22≀C2 = C24.32D6φ: C22≀C2/C2×D4 → C2 ⊆ Aut C696C6.68C2^2wrC2192,782
C6.69C22≀C2 = C24.73D6φ: C22≀C2/C24 → C2 ⊆ Aut C696C6.69C2^2wrC2192,769
C6.70C22≀C2 = C24.76D6φ: C22≀C2/C24 → C2 ⊆ Aut C696C6.70C2^2wrC2192,772
C6.71C22≀C2 = (C2×C6)⋊8D8φ: C22≀C2/C24 → C2 ⊆ Aut C648C6.71C2^2wrC2192,776
C6.72C22≀C2 = (C3×D4).31D4φ: C22≀C2/C24 → C2 ⊆ Aut C648C6.72C2^2wrC2192,777
C6.73C22≀C2 = C24.31D6φ: C22≀C2/C24 → C2 ⊆ Aut C696C6.73C2^2wrC2192,781
C6.74C22≀C2 = (C3×Q8)⋊13D4φ: C22≀C2/C24 → C2 ⊆ Aut C696C6.74C2^2wrC2192,786
C6.75C22≀C2 = (C2×C6)⋊8Q16φ: C22≀C2/C24 → C2 ⊆ Aut C696C6.75C2^2wrC2192,787
C6.76C22≀C2 = C22.52(S3×Q8)φ: C22≀C2/C24 → C2 ⊆ Aut C6192C6.76C2^2wrC2192,789
C6.77C22≀C2 = (C22×Q8)⋊9S3φ: C22≀C2/C24 → C2 ⊆ Aut C696C6.77C2^2wrC2192,790
C6.78C22≀C2 = (C3×D4)⋊14D4φ: C22≀C2/C24 → C2 ⊆ Aut C696C6.78C2^2wrC2192,797
C6.79C22≀C2 = (C3×D4).32D4φ: C22≀C2/C24 → C2 ⊆ Aut C696C6.79C2^2wrC2192,798
C6.80C22≀C2 = 2+ 1+4⋊6S3φ: C22≀C2/C24 → C2 ⊆ Aut C6248+C6.80C2^2wrC2192,800
C6.81C22≀C2 = 2+ 1+4.4S3φ: C22≀C2/C24 → C2 ⊆ Aut C6488-C6.81C2^2wrC2192,801
C6.82C22≀C2 = 2+ 1+4.5S3φ: C22≀C2/C24 → C2 ⊆ Aut C6488-C6.82C2^2wrC2192,802
C6.83C22≀C2 = 2+ 1+4⋊7S3φ: C22≀C2/C24 → C2 ⊆ Aut C6248+C6.83C2^2wrC2192,803
C6.84C22≀C2 = 2- 1+4⋊4S3φ: C22≀C2/C24 → C2 ⊆ Aut C6488+C6.84C2^2wrC2192,804
C6.85C22≀C2 = 2- 1+4.2S3φ: C22≀C2/C24 → C2 ⊆ Aut C6488-C6.85C2^2wrC2192,805
C6.86C22≀C2 = C25.4S3φ: C22≀C2/C24 → C2 ⊆ Aut C648C6.86C2^2wrC2192,806
C6.87C22≀C2 = C3×C24⋊3C4central extension (φ=1)48C6.87C2^2wrC2192,812
C6.88C22≀C2 = C3×C23.8Q8central extension (φ=1)96C6.88C2^2wrC2192,818
C6.89C22≀C2 = C3×C23.23D4central extension (φ=1)96C6.89C2^2wrC2192,819
C6.90C22≀C2 = C3×C23⋊2D4central extension (φ=1)96C6.90C2^2wrC2192,825
C6.91C22≀C2 = C3×C23⋊Q8central extension (φ=1)96C6.91C2^2wrC2192,826
C6.92C22≀C2 = C3×C23.10D4central extension (φ=1)96C6.92C2^2wrC2192,827
C6.93C22≀C2 = C3×C23.78C23central extension (φ=1)192C6.93C2^2wrC2192,828
C6.94C22≀C2 = C3×C22⋊D8central extension (φ=1)48C6.94C2^2wrC2192,880
C6.95C22≀C2 = C3×Q8⋊D4central extension (φ=1)96C6.95C2^2wrC2192,881
C6.96C22≀C2 = C3×D4⋊D4central extension (φ=1)96C6.96C2^2wrC2192,882
C6.97C22≀C2 = C3×C22⋊SD16central extension (φ=1)48C6.97C2^2wrC2192,883
C6.98C22≀C2 = C3×C22⋊Q16central extension (φ=1)96C6.98C2^2wrC2192,884
C6.99C22≀C2 = C3×D4.7D4central extension (φ=1)96C6.99C2^2wrC2192,885
C6.100C22≀C2 = C3×D4⋊4D4central extension (φ=1)244C6.100C2^2wrC2192,886
C6.101C22≀C2 = C3×D4.8D4central extension (φ=1)484C6.101C2^2wrC2192,887
C6.102C22≀C2 = C3×D4.9D4central extension (φ=1)484C6.102C2^2wrC2192,888
C6.103C22≀C2 = C3×D4.10D4central extension (φ=1)484C6.103C2^2wrC2192,889
C6.104C22≀C2 = C3×C2≀C22central extension (φ=1)244C6.104C2^2wrC2192,890
C6.105C22≀C2 = C3×C23.7D4central extension (φ=1)484C6.105C2^2wrC2192,891

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