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Extensions 1→N→G→Q→1 with N=C3×C3⋊C8 and Q=C22

Direct product G=N×Q with N=C3×C3⋊C8 and Q=C22
dρLabelID
C2×C6×C3⋊C896C2xC6xC3:C8288,691

Semidirect products G=N:Q with N=C3×C3⋊C8 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×C3⋊C8)⋊1C22 = C24⋊1D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8484+(C3xC3:C8):1C2^2288,442
(C3×C3⋊C8)⋊2C22 = D24⋊S3φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8484(C3xC3:C8):2C2^2288,443
(C3×C3⋊C8)⋊3C22 = D12⋊18D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8244+(C3xC3:C8):3C2^2288,473
(C3×C3⋊C8)⋊4C22 = D12.28D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8484(C3xC3:C8):4C2^2288,478
(C3×C3⋊C8)⋊5C22 = S3×D4⋊S3φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8488+(C3xC3:C8):5C2^2288,572
(C3×C3⋊C8)⋊6C22 = D12⋊D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8248+(C3xC3:C8):6C2^2288,574
(C3×C3⋊C8)⋊7C22 = D12.7D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8488+(C3xC3:C8):7C2^2288,582
(C3×C3⋊C8)⋊8C22 = D12⋊6D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8488+(C3xC3:C8):8C2^2288,587
(C3×C3⋊C8)⋊9C22 = D12.10D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8488+(C3xC3:C8):9C2^2288,589
(C3×C3⋊C8)⋊10C22 = Dic6⋊3D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8488+(C3xC3:C8):10C2^2288,573
(C3×C3⋊C8)⋊11C22 = D12.D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8488-(C3xC3:C8):11C2^2288,575
(C3×C3⋊C8)⋊12C22 = D12⋊9D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8488-(C3xC3:C8):12C2^2288,580
(C3×C3⋊C8)⋊13C22 = D12⋊5D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8248+(C3xC3:C8):13C2^2288,585
(C3×C3⋊C8)⋊14C22 = S3×D4.S3φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8488-(C3xC3:C8):14C2^2288,576
(C3×C3⋊C8)⋊15C22 = Dic6⋊D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8248+(C3xC3:C8):15C2^2288,578
(C3×C3⋊C8)⋊16C22 = S3×Q8⋊2S3φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8488+(C3xC3:C8):16C2^2288,586
(C3×C3⋊C8)⋊17C22 = D12.9D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8488-(C3xC3:C8):17C2^2288,588
(C3×C3⋊C8)⋊18C22 = C3×D8⋊S3φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8484(C3xC3:C8):18C2^2288,682
(C3×C3⋊C8)⋊19C22 = C3×Q8⋊3D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8484(C3xC3:C8):19C2^2288,685
(C3×C3⋊C8)⋊20C22 = C3×D12⋊6C22φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8244(C3xC3:C8):20C2^2288,703
(C3×C3⋊C8)⋊21C22 = C3×D4⋊D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8484(C3xC3:C8):21C2^2288,720
(C3×C3⋊C8)⋊22C22 = S3×C8⋊S3φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8484(C3xC3:C8):22C2^2288,438
(C3×C3⋊C8)⋊23C22 = C24⋊D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8484(C3xC3:C8):23C2^2288,439
(C3×C3⋊C8)⋊24C22 = S3×C4.Dic3φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8484(C3xC3:C8):24C2^2288,461
(C3×C3⋊C8)⋊25C22 = C3⋊C8⋊20D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8244(C3xC3:C8):25C2^2288,466
(C3×C3⋊C8)⋊26C22 = S3×D24φ: C22/C2 → C2 ⊆ Out C3×C3⋊C8484+(C3xC3:C8):26C2^2288,441
(C3×C3⋊C8)⋊27C22 = C2×C3⋊D24φ: C22/C2 → C2 ⊆ Out C3×C3⋊C848(C3xC3:C8):27C2^2288,472
(C3×C3⋊C8)⋊28C22 = S3×C24⋊C2φ: C22/C2 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8):28C2^2288,440
(C3×C3⋊C8)⋊29C22 = C2×D12.S3φ: C22/C2 → C2 ⊆ Out C3×C3⋊C896(C3xC3:C8):29C2^2288,476
(C3×C3⋊C8)⋊30C22 = C2×C32⋊5SD16φ: C22/C2 → C2 ⊆ Out C3×C3⋊C848(C3xC3:C8):30C2^2288,480
(C3×C3⋊C8)⋊31C22 = C3×S3×D8φ: C22/C2 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8):31C2^2288,681
(C3×C3⋊C8)⋊32C22 = C6×D4⋊S3φ: C22/C2 → C2 ⊆ Out C3×C3⋊C848(C3xC3:C8):32C2^2288,702
(C3×C3⋊C8)⋊33C22 = S32×C8φ: C22/C2 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8):33C2^2288,437
(C3×C3⋊C8)⋊34C22 = C2×S3×C3⋊C8φ: C22/C2 → C2 ⊆ Out C3×C3⋊C896(C3xC3:C8):34C2^2288,460
(C3×C3⋊C8)⋊35C22 = C2×C12.29D6φ: C22/C2 → C2 ⊆ Out C3×C3⋊C848(C3xC3:C8):35C2^2288,464
(C3×C3⋊C8)⋊36C22 = C2×D6.Dic3φ: C22/C2 → C2 ⊆ Out C3×C3⋊C896(C3xC3:C8):36C2^2288,467
(C3×C3⋊C8)⋊37C22 = C2×C12.31D6φ: C22/C2 → C2 ⊆ Out C3×C3⋊C848(C3xC3:C8):37C2^2288,468
(C3×C3⋊C8)⋊38C22 = C3×S3×SD16φ: C22/C2 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8):38C2^2288,684
(C3×C3⋊C8)⋊39C22 = C6×D4.S3φ: C22/C2 → C2 ⊆ Out C3×C3⋊C848(C3xC3:C8):39C2^2288,704
(C3×C3⋊C8)⋊40C22 = C6×Q8⋊2S3φ: C22/C2 → C2 ⊆ Out C3×C3⋊C896(C3xC3:C8):40C2^2288,712
(C3×C3⋊C8)⋊41C22 = C6×C8⋊S3φ: C22/C2 → C2 ⊆ Out C3×C3⋊C896(C3xC3:C8):41C2^2288,671
(C3×C3⋊C8)⋊42C22 = C3×S3×M4(2)φ: C22/C2 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8):42C2^2288,677
(C3×C3⋊C8)⋊43C22 = C6×C4.Dic3φ: C22/C2 → C2 ⊆ Out C3×C3⋊C848(C3xC3:C8):43C2^2288,692
(C3×C3⋊C8)⋊44C22 = S3×C2×C24φ: trivial image96(C3xC3:C8):44C2^2288,670

Non-split extensions G=N.Q with N=C3×C3⋊C8 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×C3⋊C8).1C22 = C24.3D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8964-(C3xC3:C8).1C2^2288,448
(C3×C3⋊C8).2C22 = Dic12⋊S3φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8484(C3xC3:C8).2C2^2288,449
(C3×C3⋊C8).3C22 = D12.29D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8484-(C3xC3:C8).3C2^2288,479
(C3×C3⋊C8).4C22 = Dic6.29D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8484(C3xC3:C8).4C2^2288,481
(C3×C3⋊C8).5C22 = D12.22D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8488-(C3xC3:C8).5C2^2288,581
(C3×C3⋊C8).6C22 = S3×C3⋊Q16φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8968-(C3xC3:C8).6C2^2288,590
(C3×C3⋊C8).7C22 = Dic6.9D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8488-(C3xC3:C8).7C2^2288,592
(C3×C3⋊C8).8C22 = D12.13D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8488+(C3xC3:C8).8C2^2288,597
(C3×C3⋊C8).9C22 = D12.14D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8488+(C3xC3:C8).9C2^2288,598
(C3×C3⋊C8).10C22 = Dic6.19D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8488-(C3xC3:C8).10C2^2288,577
(C3×C3⋊C8).11C22 = Dic6.D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8488-(C3xC3:C8).11C2^2288,579
(C3×C3⋊C8).12C22 = D12.24D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8968-(C3xC3:C8).12C2^2288,594
(C3×C3⋊C8).13C22 = D12.15D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8488-(C3xC3:C8).13C2^2288,599
(C3×C3⋊C8).14C22 = D12.11D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8968-(C3xC3:C8).14C2^2288,591
(C3×C3⋊C8).15C22 = Dic6.10D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8488+(C3xC3:C8).15C2^2288,593
(C3×C3⋊C8).16C22 = Dic6.22D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8488+(C3xC3:C8).16C2^2288,596
(C3×C3⋊C8).17C22 = Dic6.20D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8488+(C3xC3:C8).17C2^2288,583
(C3×C3⋊C8).18C22 = D12.8D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8488-(C3xC3:C8).18C2^2288,584
(C3×C3⋊C8).19C22 = D12.12D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8968-(C3xC3:C8).19C2^2288,595
(C3×C3⋊C8).20C22 = C3×D4.D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8484(C3xC3:C8).20C2^2288,686
(C3×C3⋊C8).21C22 = C3×Q16⋊S3φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8964(C3xC3:C8).21C2^2288,689
(C3×C3⋊C8).22C22 = C3×Q8.11D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8484(C3xC3:C8).22C2^2288,713
(C3×C3⋊C8).23C22 = C3×Q8.14D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8484(C3xC3:C8).23C2^2288,722
(C3×C3⋊C8).24C22 = C24.64D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8484(C3xC3:C8).24C2^2288,452
(C3×C3⋊C8).25C22 = C24.D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8484(C3xC3:C8).25C2^2288,453
(C3×C3⋊C8).26C22 = D12.Dic3φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8484(C3xC3:C8).26C2^2288,463
(C3×C3⋊C8).27C22 = C3⋊C8.22D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊C8484(C3xC3:C8).27C2^2288,465
(C3×C3⋊C8).28C22 = S3×Dic12φ: C22/C2 → C2 ⊆ Out C3×C3⋊C8964-(C3xC3:C8).28C2^2288,447
(C3×C3⋊C8).29C22 = D6.1D12φ: C22/C2 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8).29C2^2288,454
(C3×C3⋊C8).30C22 = D12.27D6φ: C22/C2 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8).30C2^2288,477
(C3×C3⋊C8).31C22 = C2×C32⋊3Q16φ: C22/C2 → C2 ⊆ Out C3×C3⋊C896(C3xC3:C8).31C2^2288,483
(C3×C3⋊C8).32C22 = D24⋊7S3φ: C22/C2 → C2 ⊆ Out C3×C3⋊C8964-(C3xC3:C8).32C2^2288,455
(C3×C3⋊C8).33C22 = D6.3D12φ: C22/C2 → C2 ⊆ Out C3×C3⋊C8484+(C3xC3:C8).33C2^2288,456
(C3×C3⋊C8).34C22 = C3×Q8.7D6φ: C22/C2 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8).34C2^2288,687
(C3×C3⋊C8).35C22 = C3×S3×Q16φ: C22/C2 → C2 ⊆ Out C3×C3⋊C8964(C3xC3:C8).35C2^2288,688
(C3×C3⋊C8).36C22 = C6×C3⋊Q16φ: C22/C2 → C2 ⊆ Out C3×C3⋊C896(C3xC3:C8).36C2^2288,714
(C3×C3⋊C8).37C22 = C24.63D6φ: C22/C2 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8).37C2^2288,451
(C3×C3⋊C8).38C22 = D12.2Dic3φ: C22/C2 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8).38C2^2288,462
(C3×C3⋊C8).39C22 = C3×D8⋊3S3φ: C22/C2 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8).39C2^2288,683
(C3×C3⋊C8).40C22 = C3×D24⋊C2φ: C22/C2 → C2 ⊆ Out C3×C3⋊C8964(C3xC3:C8).40C2^2288,690
(C3×C3⋊C8).41C22 = C3×Q8.13D6φ: C22/C2 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8).41C2^2288,721
(C3×C3⋊C8).42C22 = C3×C8○D12φ: C22/C2 → C2 ⊆ Out C3×C3⋊C8482(C3xC3:C8).42C2^2288,672
(C3×C3⋊C8).43C22 = C3×D12.C4φ: C22/C2 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8).43C2^2288,678
(C3×C3⋊C8).44C22 = C3×D4.Dic3φ: C22/C2 → C2 ⊆ Out C3×C3⋊C8484(C3xC3:C8).44C2^2288,719

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