Extensions 1→N→G→Q→1 with N=C6×C3⋊S3 and Q=C22

Direct product G=N×Q with N=C6×C3⋊S3 and Q=C22
dρLabelID
C3⋊S3×C22×C6144C3:S3xC2^2xC6432,773

Semidirect products G=N:Q with N=C6×C3⋊S3 and Q=C22
extensionφ:Q→Out NdρLabelID
(C6×C3⋊S3)⋊1C22 = S3×D6⋊S3φ: C22/C1C22 ⊆ Out C6×C3⋊S3488-(C6xC3:S3):1C2^2432,597
(C6×C3⋊S3)⋊2C22 = S3×C3⋊D12φ: C22/C1C22 ⊆ Out C6×C3⋊S3248+(C6xC3:S3):2C2^2432,598
(C6×C3⋊S3)⋊3C22 = D6⋊S32φ: C22/C1C22 ⊆ Out C6×C3⋊S3488-(C6xC3:S3):3C2^2432,600
(C6×C3⋊S3)⋊4C22 = (S3×C6)⋊D6φ: C22/C1C22 ⊆ Out C6×C3⋊S3248+(C6xC3:S3):4C2^2432,601
(C6×C3⋊S3)⋊5C22 = C3⋊S34D12φ: C22/C1C22 ⊆ Out C6×C3⋊S3248+(C6xC3:S3):5C2^2432,602
(C6×C3⋊S3)⋊6C22 = C3×S3×D12φ: C22/C1C22 ⊆ Out C6×C3⋊S3484(C6xC3:S3):6C2^2432,649
(C6×C3⋊S3)⋊7C22 = C3×S3×C3⋊D4φ: C22/C1C22 ⊆ Out C6×C3⋊S3244(C6xC3:S3):7C2^2432,658
(C6×C3⋊S3)⋊8C22 = S3×C12⋊S3φ: C22/C1C22 ⊆ Out C6×C3⋊S372(C6xC3:S3):8C2^2432,671
(C6×C3⋊S3)⋊9C22 = C12⋊S32φ: C22/C1C22 ⊆ Out C6×C3⋊S372(C6xC3:S3):9C2^2432,673
(C6×C3⋊S3)⋊10C22 = S3×C327D4φ: C22/C1C22 ⊆ Out C6×C3⋊S372(C6xC3:S3):10C2^2432,684
(C6×C3⋊S3)⋊11C22 = C6223D6φ: C22/C1C22 ⊆ Out C6×C3⋊S336(C6xC3:S3):11C2^2432,686
(C6×C3⋊S3)⋊12C22 = C123S32φ: C22/C1C22 ⊆ Out C6×C3⋊S3484(C6xC3:S3):12C2^2432,691
(C6×C3⋊S3)⋊13C22 = C2×S33φ: C22/C1C22 ⊆ Out C6×C3⋊S3248+(C6xC3:S3):13C2^2432,759
(C6×C3⋊S3)⋊14C22 = C6×C3⋊D12φ: C22/C2C2 ⊆ Out C6×C3⋊S348(C6xC3:S3):14C2^2432,656
(C6×C3⋊S3)⋊15C22 = C3×Dic3⋊D6φ: C22/C2C2 ⊆ Out C6×C3⋊S3244(C6xC3:S3):15C2^2432,659
(C6×C3⋊S3)⋊16C22 = C2×C336D4φ: C22/C2C2 ⊆ Out C6×C3⋊S3144(C6xC3:S3):16C2^2432,680
(C6×C3⋊S3)⋊17C22 = C2×C338D4φ: C22/C2C2 ⊆ Out C6×C3⋊S372(C6xC3:S3):17C2^2432,682
(C6×C3⋊S3)⋊18C22 = C3⋊S3×C3⋊D4φ: C22/C2C2 ⊆ Out C6×C3⋊S372(C6xC3:S3):18C2^2432,685
(C6×C3⋊S3)⋊19C22 = C2×C339D4φ: C22/C2C2 ⊆ Out C6×C3⋊S348(C6xC3:S3):19C2^2432,694
(C6×C3⋊S3)⋊20C22 = C6224D6φ: C22/C2C2 ⊆ Out C6×C3⋊S3244(C6xC3:S3):20C2^2432,696
(C6×C3⋊S3)⋊21C22 = C6×C12⋊S3φ: C22/C2C2 ⊆ Out C6×C3⋊S3144(C6xC3:S3):21C2^2432,712
(C6×C3⋊S3)⋊22C22 = C3×D4×C3⋊S3φ: C22/C2C2 ⊆ Out C6×C3⋊S372(C6xC3:S3):22C2^2432,714
(C6×C3⋊S3)⋊23C22 = C6×C327D4φ: C22/C2C2 ⊆ Out C6×C3⋊S372(C6xC3:S3):23C2^2432,719
(C6×C3⋊S3)⋊24C22 = S32×C2×C6φ: C22/C2C2 ⊆ Out C6×C3⋊S348(C6xC3:S3):24C2^2432,767
(C6×C3⋊S3)⋊25C22 = C22×S3×C3⋊S3φ: C22/C2C2 ⊆ Out C6×C3⋊S372(C6xC3:S3):25C2^2432,768
(C6×C3⋊S3)⋊26C22 = C22×C324D6φ: C22/C2C2 ⊆ Out C6×C3⋊S348(C6xC3:S3):26C2^2432,769

Non-split extensions G=N.Q with N=C6×C3⋊S3 and Q=C22
extensionφ:Q→Out NdρLabelID
(C6×C3⋊S3).1C22 = Dic3×C32⋊C4φ: C22/C1C22 ⊆ Out C6×C3⋊S3488-(C6xC3:S3).1C2^2432,567
(C6×C3⋊S3).2C22 = D6⋊(C32⋊C4)φ: C22/C1C22 ⊆ Out C6×C3⋊S3248+(C6xC3:S3).2C2^2432,568
(C6×C3⋊S3).3C22 = C33⋊(C4⋊C4)φ: C22/C1C22 ⊆ Out C6×C3⋊S3488-(C6xC3:S3).3C2^2432,569
(C6×C3⋊S3).4C22 = C3×S32⋊C4φ: C22/C1C22 ⊆ Out C6×C3⋊S3244(C6xC3:S3).4C2^2432,574
(C6×C3⋊S3).5C22 = C3×C3⋊S3.Q8φ: C22/C1C22 ⊆ Out C6×C3⋊S3484(C6xC3:S3).5C2^2432,575
(C6×C3⋊S3).6C22 = C3⋊S3.2D12φ: C22/C1C22 ⊆ Out C6×C3⋊S3244(C6xC3:S3).6C2^2432,579
(C6×C3⋊S3).7C22 = S32⋊Dic3φ: C22/C1C22 ⊆ Out C6×C3⋊S3244(C6xC3:S3).7C2^2432,580
(C6×C3⋊S3).8C22 = C33⋊C4⋊C4φ: C22/C1C22 ⊆ Out C6×C3⋊S3484(C6xC3:S3).8C2^2432,581
(C6×C3⋊S3).9C22 = (C3×C6).8D12φ: C22/C1C22 ⊆ Out C6×C3⋊S3248+(C6xC3:S3).9C2^2432,586
(C6×C3⋊S3).10C22 = (C3×C6).9D12φ: C22/C1C22 ⊆ Out C6×C3⋊S3488-(C6xC3:S3).10C2^2432,587
(C6×C3⋊S3).11C22 = C3×C2.PSU3(𝔽2)φ: C22/C1C22 ⊆ Out C6×C3⋊S3488(C6xC3:S3).11C2^2432,591
(C6×C3⋊S3).12C22 = C6.PSU3(𝔽2)φ: C22/C1C22 ⊆ Out C6×C3⋊S3488(C6xC3:S3).12C2^2432,592
(C6×C3⋊S3).13C22 = C6.2PSU3(𝔽2)φ: C22/C1C22 ⊆ Out C6×C3⋊S3488(C6xC3:S3).13C2^2432,593
(C6×C3⋊S3).14C22 = S32×Dic3φ: C22/C1C22 ⊆ Out C6×C3⋊S3488-(C6xC3:S3).14C2^2432,594
(C6×C3⋊S3).15C22 = S3×C6.D6φ: C22/C1C22 ⊆ Out C6×C3⋊S3248+(C6xC3:S3).15C2^2432,595
(C6×C3⋊S3).16C22 = Dic36S32φ: C22/C1C22 ⊆ Out C6×C3⋊S3488-(C6xC3:S3).16C2^2432,596
(C6×C3⋊S3).17C22 = D64S32φ: C22/C1C22 ⊆ Out C6×C3⋊S3248+(C6xC3:S3).17C2^2432,599
(C6×C3⋊S3).18C22 = C335(C2×Q8)φ: C22/C1C22 ⊆ Out C6×C3⋊S3488-(C6xC3:S3).18C2^2432,604
(C6×C3⋊S3).19C22 = D6.S32φ: C22/C1C22 ⊆ Out C6×C3⋊S3488-(C6xC3:S3).19C2^2432,607
(C6×C3⋊S3).20C22 = D6.4S32φ: C22/C1C22 ⊆ Out C6×C3⋊S3488-(C6xC3:S3).20C2^2432,608
(C6×C3⋊S3).21C22 = D6.3S32φ: C22/C1C22 ⊆ Out C6×C3⋊S3248+(C6xC3:S3).21C2^2432,609
(C6×C3⋊S3).22C22 = D6.6S32φ: C22/C1C22 ⊆ Out C6×C3⋊S3488-(C6xC3:S3).22C2^2432,611
(C6×C3⋊S3).23C22 = Dic3.S32φ: C22/C1C22 ⊆ Out C6×C3⋊S3248+(C6xC3:S3).23C2^2432,612
(C6×C3⋊S3).24C22 = C3×D6.6D6φ: C22/C1C22 ⊆ Out C6×C3⋊S3484(C6xC3:S3).24C2^2432,647
(C6×C3⋊S3).25C22 = C3×D6.3D6φ: C22/C1C22 ⊆ Out C6×C3⋊S3244(C6xC3:S3).25C2^2432,652
(C6×C3⋊S3).26C22 = C12.39S32φ: C22/C1C22 ⊆ Out C6×C3⋊S372(C6xC3:S3).26C2^2432,664
(C6×C3⋊S3).27C22 = C12.57S32φ: C22/C1C22 ⊆ Out C6×C3⋊S3144(C6xC3:S3).27C2^2432,668
(C6×C3⋊S3).28C22 = C62.91D6φ: C22/C1C22 ⊆ Out C6×C3⋊S372(C6xC3:S3).28C2^2432,676
(C6×C3⋊S3).29C22 = C62.93D6φ: C22/C1C22 ⊆ Out C6×C3⋊S372(C6xC3:S3).29C2^2432,678
(C6×C3⋊S3).30C22 = C12⋊S312S3φ: C22/C1C22 ⊆ Out C6×C3⋊S3484(C6xC3:S3).30C2^2432,688
(C6×C3⋊S3).31C22 = C62.96D6φ: C22/C1C22 ⊆ Out C6×C3⋊S3244(C6xC3:S3).31C2^2432,693
(C6×C3⋊S3).32C22 = C2×S3×C32⋊C4φ: C22/C1C22 ⊆ Out C6×C3⋊S3248+(C6xC3:S3).32C2^2432,753
(C6×C3⋊S3).33C22 = C6×S3≀C2φ: C22/C1C22 ⊆ Out C6×C3⋊S3244(C6xC3:S3).33C2^2432,754
(C6×C3⋊S3).34C22 = C2×C33⋊D4φ: C22/C1C22 ⊆ Out C6×C3⋊S3244(C6xC3:S3).34C2^2432,755
(C6×C3⋊S3).35C22 = C2×C322D12φ: C22/C1C22 ⊆ Out C6×C3⋊S3248+(C6xC3:S3).35C2^2432,756
(C6×C3⋊S3).36C22 = C6×PSU3(𝔽2)φ: C22/C1C22 ⊆ Out C6×C3⋊S3488(C6xC3:S3).36C2^2432,757
(C6×C3⋊S3).37C22 = C2×C33⋊Q8φ: C22/C1C22 ⊆ Out C6×C3⋊S3488(C6xC3:S3).37C2^2432,758
(C6×C3⋊S3).38C22 = C12×C32⋊C4φ: C22/C2C2 ⊆ Out C6×C3⋊S3484(C6xC3:S3).38C2^2432,630
(C6×C3⋊S3).39C22 = C3×C4⋊(C32⋊C4)φ: C22/C2C2 ⊆ Out C6×C3⋊S3484(C6xC3:S3).39C2^2432,631
(C6×C3⋊S3).40C22 = C3×C62⋊C4φ: C22/C2C2 ⊆ Out C6×C3⋊S3244(C6xC3:S3).40C2^2432,634
(C6×C3⋊S3).41C22 = C4×C33⋊C4φ: C22/C2C2 ⊆ Out C6×C3⋊S3484(C6xC3:S3).41C2^2432,637
(C6×C3⋊S3).42C22 = C339(C4⋊C4)φ: C22/C2C2 ⊆ Out C6×C3⋊S3484(C6xC3:S3).42C2^2432,638
(C6×C3⋊S3).43C22 = C6211Dic3φ: C22/C2C2 ⊆ Out C6×C3⋊S3244(C6xC3:S3).43C2^2432,641
(C6×C3⋊S3).44C22 = C3×D12⋊S3φ: C22/C2C2 ⊆ Out C6×C3⋊S3484(C6xC3:S3).44C2^2432,644
(C6×C3⋊S3).45C22 = C3×Dic3.D6φ: C22/C2C2 ⊆ Out C6×C3⋊S3484(C6xC3:S3).45C2^2432,645
(C6×C3⋊S3).46C22 = C3×D6.D6φ: C22/C2C2 ⊆ Out C6×C3⋊S3484(C6xC3:S3).46C2^2432,646
(C6×C3⋊S3).47C22 = S32×C12φ: C22/C2C2 ⊆ Out C6×C3⋊S3484(C6xC3:S3).47C2^2432,648
(C6×C3⋊S3).48C22 = C3×D6⋊D6φ: C22/C2C2 ⊆ Out C6×C3⋊S3484(C6xC3:S3).48C2^2432,650
(C6×C3⋊S3).49C22 = C6×C6.D6φ: C22/C2C2 ⊆ Out C6×C3⋊S348(C6xC3:S3).49C2^2432,654
(C6×C3⋊S3).50C22 = (C3×D12)⋊S3φ: C22/C2C2 ⊆ Out C6×C3⋊S3144(C6xC3:S3).50C2^2432,661
(C6×C3⋊S3).51C22 = C3⋊S3×Dic6φ: C22/C2C2 ⊆ Out C6×C3⋊S3144(C6xC3:S3).51C2^2432,663
(C6×C3⋊S3).52C22 = C12.40S32φ: C22/C2C2 ⊆ Out C6×C3⋊S372(C6xC3:S3).52C2^2432,665
(C6×C3⋊S3).53C22 = C12.73S32φ: C22/C2C2 ⊆ Out C6×C3⋊S372(C6xC3:S3).53C2^2432,667
(C6×C3⋊S3).54C22 = C4×S3×C3⋊S3φ: C22/C2C2 ⊆ Out C6×C3⋊S372(C6xC3:S3).54C2^2432,670
(C6×C3⋊S3).55C22 = C3⋊S3×D12φ: C22/C2C2 ⊆ Out C6×C3⋊S372(C6xC3:S3).55C2^2432,672
(C6×C3⋊S3).56C22 = C2×Dic3×C3⋊S3φ: C22/C2C2 ⊆ Out C6×C3⋊S3144(C6xC3:S3).56C2^2432,677
(C6×C3⋊S3).57C22 = C3⋊S34Dic6φ: C22/C2C2 ⊆ Out C6×C3⋊S3484(C6xC3:S3).57C2^2432,687
(C6×C3⋊S3).58C22 = C12.95S32φ: C22/C2C2 ⊆ Out C6×C3⋊S3484(C6xC3:S3).58C2^2432,689
(C6×C3⋊S3).59C22 = C4×C324D6φ: C22/C2C2 ⊆ Out C6×C3⋊S3484(C6xC3:S3).59C2^2432,690
(C6×C3⋊S3).60C22 = C2×C339(C2×C4)φ: C22/C2C2 ⊆ Out C6×C3⋊S348(C6xC3:S3).60C2^2432,692
(C6×C3⋊S3).61C22 = C3×C12.59D6φ: C22/C2C2 ⊆ Out C6×C3⋊S372(C6xC3:S3).61C2^2432,713
(C6×C3⋊S3).62C22 = C3×C12.D6φ: C22/C2C2 ⊆ Out C6×C3⋊S372(C6xC3:S3).62C2^2432,715
(C6×C3⋊S3).63C22 = C3×C12.26D6φ: C22/C2C2 ⊆ Out C6×C3⋊S3144(C6xC3:S3).63C2^2432,717
(C6×C3⋊S3).64C22 = C2×C6×C32⋊C4φ: C22/C2C2 ⊆ Out C6×C3⋊S348(C6xC3:S3).64C2^2432,765
(C6×C3⋊S3).65C22 = C22×C33⋊C4φ: C22/C2C2 ⊆ Out C6×C3⋊S348(C6xC3:S3).65C2^2432,766
(C6×C3⋊S3).66C22 = C3⋊S3×C2×C12φ: trivial image144(C6xC3:S3).66C2^2432,711
(C6×C3⋊S3).67C22 = C3×Q8×C3⋊S3φ: trivial image144(C6xC3:S3).67C2^2432,716

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