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Extensions 1→N→G→Q→1 with N=C3×Dic6 and Q=C22

Direct product G=N×Q with N=C3×Dic6 and Q=C22
dρLabelID
C2×C6×Dic696C2xC6xDic6288,988

Semidirect products G=N:Q with N=C3×Dic6 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×Dic6)⋊1C22 = S3×C24⋊C2φ: C22/C1 → C22 ⊆ Out C3×Dic6484(C3xDic6):1C2^2288,440
(C3×Dic6)⋊2C22 = C24⋊1D6φ: C22/C1 → C22 ⊆ Out C3×Dic6484+(C3xDic6):2C2^2288,442
(C3×Dic6)⋊3C22 = C24⋊9D6φ: C22/C1 → C22 ⊆ Out C3×Dic6484(C3xDic6):3C2^2288,444
(C3×Dic6)⋊4C22 = C24⋊6D6φ: C22/C1 → C22 ⊆ Out C3×Dic6484(C3xDic6):4C2^2288,446
(C3×Dic6)⋊5C22 = Dic6⋊3D6φ: C22/C1 → C22 ⊆ Out C3×Dic6488+(C3xDic6):5C2^2288,573
(C3×Dic6)⋊6C22 = S3×D4.S3φ: C22/C1 → C22 ⊆ Out C3×Dic6488-(C3xDic6):6C2^2288,576
(C3×Dic6)⋊7C22 = Dic6⋊D6φ: C22/C1 → C22 ⊆ Out C3×Dic6248+(C3xDic6):7C2^2288,578
(C3×Dic6)⋊8C22 = D12.7D6φ: C22/C1 → C22 ⊆ Out C3×Dic6488+(C3xDic6):8C2^2288,582
(C3×Dic6)⋊9C22 = D12⋊5D6φ: C22/C1 → C22 ⊆ Out C3×Dic6248+(C3xDic6):9C2^2288,585
(C3×Dic6)⋊10C22 = S3×Q8⋊2S3φ: C22/C1 → C22 ⊆ Out C3×Dic6488+(C3xDic6):10C2^2288,586
(C3×Dic6)⋊11C22 = C3×D8⋊S3φ: C22/C1 → C22 ⊆ Out C3×Dic6484(C3xDic6):11C2^2288,682
(C3×Dic6)⋊12C22 = C3×S3×SD16φ: C22/C1 → C22 ⊆ Out C3×Dic6484(C3xDic6):12C2^2288,684
(C3×Dic6)⋊13C22 = S3×D4⋊2S3φ: C22/C1 → C22 ⊆ Out C3×Dic6488-(C3xDic6):13C2^2288,959
(C3×Dic6)⋊14C22 = Dic6⋊12D6φ: C22/C1 → C22 ⊆ Out C3×Dic6248+(C3xDic6):14C2^2288,960
(C3×Dic6)⋊15C22 = D12⋊13D6φ: C22/C1 → C22 ⊆ Out C3×Dic6248+(C3xDic6):15C2^2288,962
(C3×Dic6)⋊16C22 = S32×Q8φ: C22/C1 → C22 ⊆ Out C3×Dic6488-(C3xDic6):16C2^2288,965
(C3×Dic6)⋊17C22 = S3×Q8⋊3S3φ: C22/C1 → C22 ⊆ Out C3×Dic6488+(C3xDic6):17C2^2288,966
(C3×Dic6)⋊18C22 = D12⋊20D6φ: C22/C2 → C2 ⊆ Out C3×Dic6484(C3xDic6):18C2^2288,471
(C3×Dic6)⋊19C22 = D12⋊18D6φ: C22/C2 → C2 ⊆ Out C3×Dic6244+(C3xDic6):19C2^2288,473
(C3×Dic6)⋊20C22 = C2×Dic6⋊S3φ: C22/C2 → C2 ⊆ Out C3×Dic696(C3xDic6):20C2^2288,474
(C3×Dic6)⋊21C22 = C2×C32⋊5SD16φ: C22/C2 → C2 ⊆ Out C3×Dic648(C3xDic6):21C2^2288,480
(C3×Dic6)⋊22C22 = C3×D12⋊6C22φ: C22/C2 → C2 ⊆ Out C3×Dic6244(C3xDic6):22C2^2288,703
(C3×Dic6)⋊23C22 = C6×D4.S3φ: C22/C2 → C2 ⊆ Out C3×Dic648(C3xDic6):23C2^2288,704
(C3×Dic6)⋊24C22 = C2×S3×Dic6φ: C22/C2 → C2 ⊆ Out C3×Dic696(C3xDic6):24C2^2288,942
(C3×Dic6)⋊25C22 = C2×D12⋊S3φ: C22/C2 → C2 ⊆ Out C3×Dic648(C3xDic6):25C2^2288,944
(C3×Dic6)⋊26C22 = C2×Dic3.D6φ: C22/C2 → C2 ⊆ Out C3×Dic648(C3xDic6):26C2^2288,947
(C3×Dic6)⋊27C22 = C2×D6.6D6φ: C22/C2 → C2 ⊆ Out C3×Dic648(C3xDic6):27C2^2288,949
(C3×Dic6)⋊28C22 = S3×C4○D12φ: C22/C2 → C2 ⊆ Out C3×Dic6484(C3xDic6):28C2^2288,953
(C3×Dic6)⋊29C22 = D12⋊23D6φ: C22/C2 → C2 ⊆ Out C3×Dic6244(C3xDic6):29C2^2288,954
(C3×Dic6)⋊30C22 = D12⋊24D6φ: C22/C2 → C2 ⊆ Out C3×Dic6484(C3xDic6):30C2^2288,955
(C3×Dic6)⋊31C22 = D12⋊27D6φ: C22/C2 → C2 ⊆ Out C3×Dic6244+(C3xDic6):31C2^2288,956
(C3×Dic6)⋊32C22 = C6×D4⋊2S3φ: C22/C2 → C2 ⊆ Out C3×Dic648(C3xDic6):32C2^2288,993
(C3×Dic6)⋊33C22 = C3×D4⋊6D6φ: C22/C2 → C2 ⊆ Out C3×Dic6244(C3xDic6):33C2^2288,994
(C3×Dic6)⋊34C22 = S3×C6×Q8φ: C22/C2 → C2 ⊆ Out C3×Dic696(C3xDic6):34C2^2288,995
(C3×Dic6)⋊35C22 = C3×S3×C4○D4φ: C22/C2 → C2 ⊆ Out C3×Dic6484(C3xDic6):35C2^2288,998
(C3×Dic6)⋊36C22 = C6×C24⋊C2φ: C22/C2 → C2 ⊆ Out C3×Dic696(C3xDic6):36C2^2288,673
(C3×Dic6)⋊37C22 = C3×C8⋊D6φ: C22/C2 → C2 ⊆ Out C3×Dic6484(C3xDic6):37C2^2288,679
(C3×Dic6)⋊38C22 = C6×C4○D12φ: trivial image48(C3xDic6):38C2^2288,991
(C3×Dic6)⋊39C22 = C3×D4○D12φ: trivial image484(C3xDic6):39C2^2288,999

Non-split extensions G=N.Q with N=C3×Dic6 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×Dic6).1C22 = S3×Dic12φ: C22/C1 → C22 ⊆ Out C3×Dic6964-(C3xDic6).1C2^2288,447
(C3×Dic6).2C22 = C24.3D6φ: C22/C1 → C22 ⊆ Out C3×Dic6964-(C3xDic6).2C2^2288,448
(C3×Dic6).3C22 = Dic12⋊S3φ: C22/C1 → C22 ⊆ Out C3×Dic6484(C3xDic6).3C2^2288,449
(C3×Dic6).4C22 = C24.23D6φ: C22/C1 → C22 ⊆ Out C3×Dic6484(C3xDic6).4C2^2288,450
(C3×Dic6).5C22 = D6.1D12φ: C22/C1 → C22 ⊆ Out C3×Dic6484(C3xDic6).5C2^2288,454
(C3×Dic6).6C22 = D6.3D12φ: C22/C1 → C22 ⊆ Out C3×Dic6484+(C3xDic6).6C2^2288,456
(C3×Dic6).7C22 = D12.2D6φ: C22/C1 → C22 ⊆ Out C3×Dic6484(C3xDic6).7C2^2288,457
(C3×Dic6).8C22 = D24⋊5S3φ: C22/C1 → C22 ⊆ Out C3×Dic6484(C3xDic6).8C2^2288,458
(C3×Dic6).9C22 = D12.4D6φ: C22/C1 → C22 ⊆ Out C3×Dic6484(C3xDic6).9C2^2288,459
(C3×Dic6).10C22 = Dic6.19D6φ: C22/C1 → C22 ⊆ Out C3×Dic6488-(C3xDic6).10C2^2288,577
(C3×Dic6).11C22 = Dic6.D6φ: C22/C1 → C22 ⊆ Out C3×Dic6488-(C3xDic6).11C2^2288,579
(C3×Dic6).12C22 = D12.22D6φ: C22/C1 → C22 ⊆ Out C3×Dic6488-(C3xDic6).12C2^2288,581
(C3×Dic6).13C22 = Dic6.20D6φ: C22/C1 → C22 ⊆ Out C3×Dic6488+(C3xDic6).13C2^2288,583
(C3×Dic6).14C22 = D12.8D6φ: C22/C1 → C22 ⊆ Out C3×Dic6488-(C3xDic6).14C2^2288,584
(C3×Dic6).15C22 = S3×C3⋊Q16φ: C22/C1 → C22 ⊆ Out C3×Dic6968-(C3xDic6).15C2^2288,590
(C3×Dic6).16C22 = D12.11D6φ: C22/C1 → C22 ⊆ Out C3×Dic6968-(C3xDic6).16C2^2288,591
(C3×Dic6).17C22 = Dic6.9D6φ: C22/C1 → C22 ⊆ Out C3×Dic6488-(C3xDic6).17C2^2288,592
(C3×Dic6).18C22 = Dic6.10D6φ: C22/C1 → C22 ⊆ Out C3×Dic6488+(C3xDic6).18C2^2288,593
(C3×Dic6).19C22 = D12.24D6φ: C22/C1 → C22 ⊆ Out C3×Dic6968-(C3xDic6).19C2^2288,594
(C3×Dic6).20C22 = Dic6.22D6φ: C22/C1 → C22 ⊆ Out C3×Dic6488+(C3xDic6).20C2^2288,596
(C3×Dic6).21C22 = D12.13D6φ: C22/C1 → C22 ⊆ Out C3×Dic6488+(C3xDic6).21C2^2288,597
(C3×Dic6).22C22 = D12.14D6φ: C22/C1 → C22 ⊆ Out C3×Dic6488+(C3xDic6).22C2^2288,598
(C3×Dic6).23C22 = D12.15D6φ: C22/C1 → C22 ⊆ Out C3×Dic6488-(C3xDic6).23C2^2288,599
(C3×Dic6).24C22 = C3×D8⋊3S3φ: C22/C1 → C22 ⊆ Out C3×Dic6484(C3xDic6).24C2^2288,683
(C3×Dic6).25C22 = C3×D4.D6φ: C22/C1 → C22 ⊆ Out C3×Dic6484(C3xDic6).25C2^2288,686
(C3×Dic6).26C22 = C3×Q8.7D6φ: C22/C1 → C22 ⊆ Out C3×Dic6484(C3xDic6).26C2^2288,687
(C3×Dic6).27C22 = C3×S3×Q16φ: C22/C1 → C22 ⊆ Out C3×Dic6964(C3xDic6).27C2^2288,688
(C3×Dic6).28C22 = C3×Q16⋊S3φ: C22/C1 → C22 ⊆ Out C3×Dic6964(C3xDic6).28C2^2288,689
(C3×Dic6).29C22 = Dic6.24D6φ: C22/C1 → C22 ⊆ Out C3×Dic6488-(C3xDic6).29C2^2288,957
(C3×Dic6).30C22 = D12.25D6φ: C22/C1 → C22 ⊆ Out C3×Dic6488-(C3xDic6).30C2^2288,963
(C3×Dic6).31C22 = Dic6.26D6φ: C22/C1 → C22 ⊆ Out C3×Dic6488+(C3xDic6).31C2^2288,964
(C3×Dic6).32C22 = D12.30D6φ: C22/C2 → C2 ⊆ Out C3×Dic6484(C3xDic6).32C2^2288,470
(C3×Dic6).33C22 = D12.32D6φ: C22/C2 → C2 ⊆ Out C3×Dic6484(C3xDic6).33C2^2288,475
(C3×Dic6).34C22 = D12.27D6φ: C22/C2 → C2 ⊆ Out C3×Dic6484(C3xDic6).34C2^2288,477
(C3×Dic6).35C22 = D12.29D6φ: C22/C2 → C2 ⊆ Out C3×Dic6484-(C3xDic6).35C2^2288,479
(C3×Dic6).36C22 = Dic6.29D6φ: C22/C2 → C2 ⊆ Out C3×Dic6484(C3xDic6).36C2^2288,481
(C3×Dic6).37C22 = C2×C32⋊2Q16φ: C22/C2 → C2 ⊆ Out C3×Dic696(C3xDic6).37C2^2288,482
(C3×Dic6).38C22 = C2×C32⋊3Q16φ: C22/C2 → C2 ⊆ Out C3×Dic696(C3xDic6).38C2^2288,483
(C3×Dic6).39C22 = C3×Q8.11D6φ: C22/C2 → C2 ⊆ Out C3×Dic6484(C3xDic6).39C2^2288,713
(C3×Dic6).40C22 = C6×C3⋊Q16φ: C22/C2 → C2 ⊆ Out C3×Dic696(C3xDic6).40C2^2288,714
(C3×Dic6).41C22 = C3×Q8.13D6φ: C22/C2 → C2 ⊆ Out C3×Dic6484(C3xDic6).41C2^2288,721
(C3×Dic6).42C22 = C3×Q8.14D6φ: C22/C2 → C2 ⊆ Out C3×Dic6484(C3xDic6).42C2^2288,722
(C3×Dic6).43C22 = D12.33D6φ: C22/C2 → C2 ⊆ Out C3×Dic6484(C3xDic6).43C2^2288,945
(C3×Dic6).44C22 = D12.34D6φ: C22/C2 → C2 ⊆ Out C3×Dic6484-(C3xDic6).44C2^2288,946
(C3×Dic6).45C22 = C3×Q8.15D6φ: C22/C2 → C2 ⊆ Out C3×Dic6484(C3xDic6).45C2^2288,997
(C3×Dic6).46C22 = C3×C4○D24φ: C22/C2 → C2 ⊆ Out C3×Dic6482(C3xDic6).46C2^2288,675
(C3×Dic6).47C22 = C6×Dic12φ: C22/C2 → C2 ⊆ Out C3×Dic696(C3xDic6).47C2^2288,676
(C3×Dic6).48C22 = C3×C8.D6φ: C22/C2 → C2 ⊆ Out C3×Dic6484(C3xDic6).48C2^2288,680
(C3×Dic6).49C22 = C3×Q8○D12φ: trivial image484(C3xDic6).49C2^2288,1000

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