# Extensions 1→N→G→Q→1 with N=C3×C62 and Q=C22

Direct product G=N×Q with N=C3×C62 and Q=C22
dρLabelID
C2×C63432C2xC6^3432,775

Semidirect products G=N:Q with N=C3×C62 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C3×C62)⋊1C22 = C3×S3×C3⋊D4φ: C22/C1C22 ⊆ Aut C3×C62244(C3xC6^2):1C2^2432,658
(C3×C62)⋊2C22 = C3×Dic3⋊D6φ: C22/C1C22 ⊆ Aut C3×C62244(C3xC6^2):2C2^2432,659
(C3×C62)⋊3C22 = S3×C327D4φ: C22/C1C22 ⊆ Aut C3×C6272(C3xC6^2):3C2^2432,684
(C3×C62)⋊4C22 = C3⋊S3×C3⋊D4φ: C22/C1C22 ⊆ Aut C3×C6272(C3xC6^2):4C2^2432,685
(C3×C62)⋊5C22 = C6223D6φ: C22/C1C22 ⊆ Aut C3×C6236(C3xC6^2):5C2^2432,686
(C3×C62)⋊6C22 = C6224D6φ: C22/C1C22 ⊆ Aut C3×C62244(C3xC6^2):6C2^2432,696
(C3×C62)⋊7C22 = S3×D4×C32φ: C22/C1C22 ⊆ Aut C3×C6272(C3xC6^2):7C2^2432,704
(C3×C62)⋊8C22 = C3×D4×C3⋊S3φ: C22/C1C22 ⊆ Aut C3×C6272(C3xC6^2):8C2^2432,714
(C3×C62)⋊9C22 = D4×C33⋊C2φ: C22/C1C22 ⊆ Aut C3×C62108(C3xC6^2):9C2^2432,724
(C3×C62)⋊10C22 = S32×C2×C6φ: C22/C1C22 ⊆ Aut C3×C6248(C3xC6^2):10C2^2432,767
(C3×C62)⋊11C22 = C22×S3×C3⋊S3φ: C22/C1C22 ⊆ Aut C3×C6272(C3xC6^2):11C2^2432,768
(C3×C62)⋊12C22 = C22×C324D6φ: C22/C1C22 ⊆ Aut C3×C6248(C3xC6^2):12C2^2432,769
(C3×C62)⋊13C22 = D4×C32×C6φ: C22/C2C2 ⊆ Aut C3×C62216(C3xC6^2):13C2^2432,731
(C3×C62)⋊14C22 = C3×C6×C3⋊D4φ: C22/C2C2 ⊆ Aut C3×C6272(C3xC6^2):14C2^2432,709
(C3×C62)⋊15C22 = C6×C327D4φ: C22/C2C2 ⊆ Aut C3×C6272(C3xC6^2):15C2^2432,719
(C3×C62)⋊16C22 = C2×C3315D4φ: C22/C2C2 ⊆ Aut C3×C62216(C3xC6^2):16C2^2432,729
(C3×C62)⋊17C22 = S3×C2×C62φ: C22/C2C2 ⊆ Aut C3×C62144(C3xC6^2):17C2^2432,772
(C3×C62)⋊18C22 = C3⋊S3×C22×C6φ: C22/C2C2 ⊆ Aut C3×C62144(C3xC6^2):18C2^2432,773
(C3×C62)⋊19C22 = C23×C33⋊C2φ: C22/C2C2 ⊆ Aut C3×C62216(C3xC6^2):19C2^2432,774

Non-split extensions G=N.Q with N=C3×C62 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C3×C62).1C22 = C3×Dic32φ: C22/C1C22 ⊆ Aut C3×C6248(C3xC6^2).1C2^2432,425
(C3×C62).2C22 = C3×D6⋊Dic3φ: C22/C1C22 ⊆ Aut C3×C6248(C3xC6^2).2C2^2432,426
(C3×C62).3C22 = C3×C6.D12φ: C22/C1C22 ⊆ Aut C3×C6248(C3xC6^2).3C2^2432,427
(C3×C62).4C22 = C3×Dic3⋊Dic3φ: C22/C1C22 ⊆ Aut C3×C6248(C3xC6^2).4C2^2432,428
(C3×C62).5C22 = C3×C62.C22φ: C22/C1C22 ⊆ Aut C3×C6248(C3xC6^2).5C2^2432,429
(C3×C62).6C22 = Dic3×C3⋊Dic3φ: C22/C1C22 ⊆ Aut C3×C62144(C3xC6^2).6C2^2432,448
(C3×C62).7C22 = C62.77D6φ: C22/C1C22 ⊆ Aut C3×C62144(C3xC6^2).7C2^2432,449
(C3×C62).8C22 = C62.78D6φ: C22/C1C22 ⊆ Aut C3×C62144(C3xC6^2).8C2^2432,450
(C3×C62).9C22 = C62.79D6φ: C22/C1C22 ⊆ Aut C3×C6272(C3xC6^2).9C2^2432,451
(C3×C62).10C22 = C62.80D6φ: C22/C1C22 ⊆ Aut C3×C62144(C3xC6^2).10C2^2432,452
(C3×C62).11C22 = C62.81D6φ: C22/C1C22 ⊆ Aut C3×C62144(C3xC6^2).11C2^2432,453
(C3×C62).12C22 = C62.82D6φ: C22/C1C22 ⊆ Aut C3×C62144(C3xC6^2).12C2^2432,454
(C3×C62).13C22 = C336C42φ: C22/C1C22 ⊆ Aut C3×C6248(C3xC6^2).13C2^2432,460
(C3×C62).14C22 = C62.84D6φ: C22/C1C22 ⊆ Aut C3×C6248(C3xC6^2).14C2^2432,461
(C3×C62).15C22 = C62.85D6φ: C22/C1C22 ⊆ Aut C3×C6248(C3xC6^2).15C2^2432,462
(C3×C62).16C22 = S3×C6×Dic3φ: C22/C1C22 ⊆ Aut C3×C6248(C3xC6^2).16C2^2432,651
(C3×C62).17C22 = C3×D6.3D6φ: C22/C1C22 ⊆ Aut C3×C62244(C3xC6^2).17C2^2432,652
(C3×C62).18C22 = C3×D6.4D6φ: C22/C1C22 ⊆ Aut C3×C62244(C3xC6^2).18C2^2432,653
(C3×C62).19C22 = C6×C6.D6φ: C22/C1C22 ⊆ Aut C3×C6248(C3xC6^2).19C2^2432,654
(C3×C62).20C22 = C6×D6⋊S3φ: C22/C1C22 ⊆ Aut C3×C6248(C3xC6^2).20C2^2432,655
(C3×C62).21C22 = C6×C3⋊D12φ: C22/C1C22 ⊆ Aut C3×C6248(C3xC6^2).21C2^2432,656
(C3×C62).22C22 = C6×C322Q8φ: C22/C1C22 ⊆ Aut C3×C6248(C3xC6^2).22C2^2432,657
(C3×C62).23C22 = C2×S3×C3⋊Dic3φ: C22/C1C22 ⊆ Aut C3×C62144(C3xC6^2).23C2^2432,674
(C3×C62).24C22 = C62.90D6φ: C22/C1C22 ⊆ Aut C3×C6272(C3xC6^2).24C2^2432,675
(C3×C62).25C22 = C62.91D6φ: C22/C1C22 ⊆ Aut C3×C6272(C3xC6^2).25C2^2432,676
(C3×C62).26C22 = C2×Dic3×C3⋊S3φ: C22/C1C22 ⊆ Aut C3×C62144(C3xC6^2).26C2^2432,677
(C3×C62).27C22 = C62.93D6φ: C22/C1C22 ⊆ Aut C3×C6272(C3xC6^2).27C2^2432,678
(C3×C62).28C22 = C2×C338(C2×C4)φ: C22/C1C22 ⊆ Aut C3×C6272(C3xC6^2).28C2^2432,679
(C3×C62).29C22 = C2×C336D4φ: C22/C1C22 ⊆ Aut C3×C62144(C3xC6^2).29C2^2432,680
(C3×C62).30C22 = C2×C337D4φ: C22/C1C22 ⊆ Aut C3×C6272(C3xC6^2).30C2^2432,681
(C3×C62).31C22 = C2×C338D4φ: C22/C1C22 ⊆ Aut C3×C6272(C3xC6^2).31C2^2432,682
(C3×C62).32C22 = C2×C334Q8φ: C22/C1C22 ⊆ Aut C3×C62144(C3xC6^2).32C2^2432,683
(C3×C62).33C22 = C2×C339(C2×C4)φ: C22/C1C22 ⊆ Aut C3×C6248(C3xC6^2).33C2^2432,692
(C3×C62).34C22 = C62.96D6φ: C22/C1C22 ⊆ Aut C3×C62244(C3xC6^2).34C2^2432,693
(C3×C62).35C22 = C2×C339D4φ: C22/C1C22 ⊆ Aut C3×C6248(C3xC6^2).35C2^2432,694
(C3×C62).36C22 = C2×C335Q8φ: C22/C1C22 ⊆ Aut C3×C6248(C3xC6^2).36C2^2432,695
(C3×C62).37C22 = C32×D42S3φ: C22/C1C22 ⊆ Aut C3×C6272(C3xC6^2).37C2^2432,705
(C3×C62).38C22 = C3×C12.D6φ: C22/C1C22 ⊆ Aut C3×C6272(C3xC6^2).38C2^2432,715
(C3×C62).39C22 = C62.100D6φ: C22/C1C22 ⊆ Aut C3×C62216(C3xC6^2).39C2^2432,725
(C3×C62).40C22 = C4○D4×C33φ: C22/C2C2 ⊆ Aut C3×C62216(C3xC6^2).40C2^2432,733
(C3×C62).41C22 = Dic3×C3×C12φ: C22/C2C2 ⊆ Aut C3×C62144(C3xC6^2).41C2^2432,471
(C3×C62).42C22 = C32×Dic3⋊C4φ: C22/C2C2 ⊆ Aut C3×C62144(C3xC6^2).42C2^2432,472
(C3×C62).43C22 = C32×C4⋊Dic3φ: C22/C2C2 ⊆ Aut C3×C62144(C3xC6^2).43C2^2432,473
(C3×C62).44C22 = C32×D6⋊C4φ: C22/C2C2 ⊆ Aut C3×C62144(C3xC6^2).44C2^2432,474
(C3×C62).45C22 = C32×C6.D4φ: C22/C2C2 ⊆ Aut C3×C6272(C3xC6^2).45C2^2432,479
(C3×C62).46C22 = C12×C3⋊Dic3φ: C22/C2C2 ⊆ Aut C3×C62144(C3xC6^2).46C2^2432,487
(C3×C62).47C22 = C3×C6.Dic6φ: C22/C2C2 ⊆ Aut C3×C62144(C3xC6^2).47C2^2432,488
(C3×C62).48C22 = C3×C12⋊Dic3φ: C22/C2C2 ⊆ Aut C3×C62144(C3xC6^2).48C2^2432,489
(C3×C62).49C22 = C3×C6.11D12φ: C22/C2C2 ⊆ Aut C3×C62144(C3xC6^2).49C2^2432,490
(C3×C62).50C22 = C3×C625C4φ: C22/C2C2 ⊆ Aut C3×C6272(C3xC6^2).50C2^2432,495
(C3×C62).51C22 = C4×C335C4φ: C22/C2C2 ⊆ Aut C3×C62432(C3xC6^2).51C2^2432,503
(C3×C62).52C22 = C62.146D6φ: C22/C2C2 ⊆ Aut C3×C62432(C3xC6^2).52C2^2432,504
(C3×C62).53C22 = C62.147D6φ: C22/C2C2 ⊆ Aut C3×C62432(C3xC6^2).53C2^2432,505
(C3×C62).54C22 = C62.148D6φ: C22/C2C2 ⊆ Aut C3×C62216(C3xC6^2).54C2^2432,506
(C3×C62).55C22 = C63.C2φ: C22/C2C2 ⊆ Aut C3×C62216(C3xC6^2).55C2^2432,511
(C3×C62).56C22 = C3×C6×Dic6φ: C22/C2C2 ⊆ Aut C3×C62144(C3xC6^2).56C2^2432,700
(C3×C62).57C22 = S3×C6×C12φ: C22/C2C2 ⊆ Aut C3×C62144(C3xC6^2).57C2^2432,701
(C3×C62).58C22 = C3×C6×D12φ: C22/C2C2 ⊆ Aut C3×C62144(C3xC6^2).58C2^2432,702
(C3×C62).59C22 = C32×C4○D12φ: C22/C2C2 ⊆ Aut C3×C6272(C3xC6^2).59C2^2432,703
(C3×C62).60C22 = Dic3×C62φ: C22/C2C2 ⊆ Aut C3×C62144(C3xC6^2).60C2^2432,708
(C3×C62).61C22 = C6×C324Q8φ: C22/C2C2 ⊆ Aut C3×C62144(C3xC6^2).61C2^2432,710
(C3×C62).62C22 = C3⋊S3×C2×C12φ: C22/C2C2 ⊆ Aut C3×C62144(C3xC6^2).62C2^2432,711
(C3×C62).63C22 = C6×C12⋊S3φ: C22/C2C2 ⊆ Aut C3×C62144(C3xC6^2).63C2^2432,712
(C3×C62).64C22 = C3×C12.59D6φ: C22/C2C2 ⊆ Aut C3×C6272(C3xC6^2).64C2^2432,713
(C3×C62).65C22 = C2×C6×C3⋊Dic3φ: C22/C2C2 ⊆ Aut C3×C62144(C3xC6^2).65C2^2432,718
(C3×C62).66C22 = C2×C338Q8φ: C22/C2C2 ⊆ Aut C3×C62432(C3xC6^2).66C2^2432,720
(C3×C62).67C22 = C2×C4×C33⋊C2φ: C22/C2C2 ⊆ Aut C3×C62216(C3xC6^2).67C2^2432,721
(C3×C62).68C22 = C2×C3312D4φ: C22/C2C2 ⊆ Aut C3×C62216(C3xC6^2).68C2^2432,722
(C3×C62).69C22 = C62.160D6φ: C22/C2C2 ⊆ Aut C3×C62216(C3xC6^2).69C2^2432,723
(C3×C62).70C22 = C22×C335C4φ: C22/C2C2 ⊆ Aut C3×C62432(C3xC6^2).70C2^2432,728
(C3×C62).71C22 = C22⋊C4×C33central extension (φ=1)216(C3xC6^2).71C2^2432,513
(C3×C62).72C22 = C4⋊C4×C33central extension (φ=1)432(C3xC6^2).72C2^2432,514
(C3×C62).73C22 = Q8×C32×C6central extension (φ=1)432(C3xC6^2).73C2^2432,732

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