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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=D12

Direct product G=N×Q with N=C2×C6 and Q=D12
dρLabelID
C2×C6×D1296C2xC6xD12288,990

Semidirect products G=N:Q with N=C2×C6 and Q=D12
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊D12 = Dic3⋊S4φ: D12/C2 → D6 ⊆ Aut C2×C6366(C2xC6):D12288,855
(C2×C6)⋊2D12 = C3×C4⋊S4φ: D12/C4 → S3 ⊆ Aut C2×C6366(C2xC6):2D12288,898
(C2×C6)⋊3D12 = C12⋊S4φ: D12/C4 → S3 ⊆ Aut C2×C6366+(C2xC6):3D12288,909
(C2×C6)⋊4D12 = C62⋊6D4φ: D12/C6 → C22 ⊆ Aut C2×C648(C2xC6):4D12288,626
(C2×C6)⋊5D12 = C62⋊8D4φ: D12/C6 → C22 ⊆ Aut C2×C624(C2xC6):5D12288,629
(C2×C6)⋊6D12 = C62⋊12D4φ: D12/C6 → C22 ⊆ Aut C2×C672(C2xC6):6D12288,739
(C2×C6)⋊7D12 = C3×C12⋊7D4φ: D12/C12 → C2 ⊆ Aut C2×C648(C2xC6):7D12288,701
(C2×C6)⋊8D12 = C62⋊19D4φ: D12/C12 → C2 ⊆ Aut C2×C6144(C2xC6):8D12288,787
(C2×C6)⋊9D12 = C22×C12⋊S3φ: D12/C12 → C2 ⊆ Aut C2×C6144(C2xC6):9D12288,1005
(C2×C6)⋊10D12 = C3×D6⋊D4φ: D12/D6 → C2 ⊆ Aut C2×C648(C2xC6):10D12288,653
(C2×C6)⋊11D12 = C62⋊5D4φ: D12/D6 → C2 ⊆ Aut C2×C648(C2xC6):11D12288,625
(C2×C6)⋊12D12 = C22×C3⋊D12φ: D12/D6 → C2 ⊆ Aut C2×C648(C2xC6):12D12288,974

Non-split extensions G=N.Q with N=C2×C6 and Q=D12
extensionφ:Q→Aut NdρLabelID
(C2×C6).D12 = C22⋊D36φ: D12/C4 → S3 ⊆ Aut C2×C6366+(C2xC6).D12288,334
(C2×C6).2D12 = C22.D36φ: D12/C6 → C22 ⊆ Aut C2×C6724(C2xC6).2D12288,13
(C2×C6).3D12 = Dic18⋊C4φ: D12/C6 → C22 ⊆ Aut C2×C6724(C2xC6).3D12288,32
(C2×C6).4D12 = C22⋊3D36φ: D12/C6 → C22 ⊆ Aut C2×C672(C2xC6).4D12288,92
(C2×C6).5D12 = C22.4D36φ: D12/C6 → C22 ⊆ Aut C2×C6144(C2xC6).5D12288,96
(C2×C6).6D12 = C8⋊D18φ: D12/C6 → C22 ⊆ Aut C2×C6724+(C2xC6).6D12288,118
(C2×C6).7D12 = C8.D18φ: D12/C6 → C22 ⊆ Aut C2×C61444-(C2xC6).7D12288,119
(C2×C6).8D12 = D12⋊4Dic3φ: D12/C6 → C22 ⊆ Aut C2×C6244(C2xC6).8D12288,216
(C2×C6).9D12 = C62.31D4φ: D12/C6 → C22 ⊆ Aut C2×C6244(C2xC6).9D12288,228
(C2×C6).10D12 = C62.110D4φ: D12/C6 → C22 ⊆ Aut C2×C672(C2xC6).10D12288,281
(C2×C6).11D12 = C62.37D4φ: D12/C6 → C22 ⊆ Aut C2×C672(C2xC6).11D12288,300
(C2×C6).12D12 = D12⋊18D6φ: D12/C6 → C22 ⊆ Aut C2×C6244+(C2xC6).12D12288,473
(C2×C6).13D12 = D12.27D6φ: D12/C6 → C22 ⊆ Aut C2×C6484(C2xC6).13D12288,477
(C2×C6).14D12 = D12.29D6φ: D12/C6 → C22 ⊆ Aut C2×C6484-(C2xC6).14D12288,479
(C2×C6).15D12 = C62.57D4φ: D12/C6 → C22 ⊆ Aut C2×C648(C2xC6).15D12288,610
(C2×C6).16D12 = C62.69D4φ: D12/C6 → C22 ⊆ Aut C2×C6144(C2xC6).16D12288,743
(C2×C6).17D12 = C24⋊3D6φ: D12/C6 → C22 ⊆ Aut C2×C672(C2xC6).17D12288,765
(C2×C6).18D12 = C24.5D6φ: D12/C6 → C22 ⊆ Aut C2×C6144(C2xC6).18D12288,766
(C2×C6).19D12 = C3×C4○D24φ: D12/C12 → C2 ⊆ Aut C2×C6482(C2xC6).19D12288,675
(C2×C6).20D12 = C36.45D4φ: D12/C12 → C2 ⊆ Aut C2×C6288(C2xC6).20D12288,24
(C2×C6).21D12 = C8⋊Dic9φ: D12/C12 → C2 ⊆ Aut C2×C6288(C2xC6).21D12288,25
(C2×C6).22D12 = C72⋊1C4φ: D12/C12 → C2 ⊆ Aut C2×C6288(C2xC6).22D12288,26
(C2×C6).23D12 = C2.D72φ: D12/C12 → C2 ⊆ Aut C2×C6144(C2xC6).23D12288,28
(C2×C6).24D12 = C18.C42φ: D12/C12 → C2 ⊆ Aut C2×C6288(C2xC6).24D12288,38
(C2×C6).25D12 = C2×Dic36φ: D12/C12 → C2 ⊆ Aut C2×C6288(C2xC6).25D12288,109
(C2×C6).26D12 = C2×C72⋊C2φ: D12/C12 → C2 ⊆ Aut C2×C6144(C2xC6).26D12288,113
(C2×C6).27D12 = C2×D72φ: D12/C12 → C2 ⊆ Aut C2×C6144(C2xC6).27D12288,114
(C2×C6).28D12 = D72⋊7C2φ: D12/C12 → C2 ⊆ Aut C2×C61442(C2xC6).28D12288,115
(C2×C6).29D12 = C2×C4⋊Dic9φ: D12/C12 → C2 ⊆ Aut C2×C6288(C2xC6).29D12288,135
(C2×C6).30D12 = C2×D18⋊C4φ: D12/C12 → C2 ⊆ Aut C2×C6144(C2xC6).30D12288,137
(C2×C6).31D12 = C36⋊7D4φ: D12/C12 → C2 ⊆ Aut C2×C6144(C2xC6).31D12288,140
(C2×C6).32D12 = C6.4Dic12φ: D12/C12 → C2 ⊆ Aut C2×C6288(C2xC6).32D12288,291
(C2×C6).33D12 = C24⋊2Dic3φ: D12/C12 → C2 ⊆ Aut C2×C6288(C2xC6).33D12288,292
(C2×C6).34D12 = C24⋊1Dic3φ: D12/C12 → C2 ⊆ Aut C2×C6288(C2xC6).34D12288,293
(C2×C6).35D12 = C62.84D4φ: D12/C12 → C2 ⊆ Aut C2×C6144(C2xC6).35D12288,296
(C2×C6).36D12 = C62.15Q8φ: D12/C12 → C2 ⊆ Aut C2×C6288(C2xC6).36D12288,306
(C2×C6).37D12 = C22×D36φ: D12/C12 → C2 ⊆ Aut C2×C6144(C2xC6).37D12288,354
(C2×C6).38D12 = C2×C24⋊2S3φ: D12/C12 → C2 ⊆ Aut C2×C6144(C2xC6).38D12288,759
(C2×C6).39D12 = C2×C32⋊5D8φ: D12/C12 → C2 ⊆ Aut C2×C6144(C2xC6).39D12288,760
(C2×C6).40D12 = C24.78D6φ: D12/C12 → C2 ⊆ Aut C2×C6144(C2xC6).40D12288,761
(C2×C6).41D12 = C2×C32⋊5Q16φ: D12/C12 → C2 ⊆ Aut C2×C6288(C2xC6).41D12288,762
(C2×C6).42D12 = C2×C12⋊Dic3φ: D12/C12 → C2 ⊆ Aut C2×C6288(C2xC6).42D12288,782
(C2×C6).43D12 = C2×C6.11D12φ: D12/C12 → C2 ⊆ Aut C2×C6144(C2xC6).43D12288,784
(C2×C6).44D12 = C3×C23.6D6φ: D12/D6 → C2 ⊆ Aut C2×C6244(C2xC6).44D12288,240
(C2×C6).45D12 = C3×D12⋊C4φ: D12/D6 → C2 ⊆ Aut C2×C6484(C2xC6).45D12288,259
(C2×C6).46D12 = C3×C23.21D6φ: D12/D6 → C2 ⊆ Aut C2×C648(C2xC6).46D12288,657
(C2×C6).47D12 = C3×C8⋊D6φ: D12/D6 → C2 ⊆ Aut C2×C6484(C2xC6).47D12288,679
(C2×C6).48D12 = C3×C8.D6φ: D12/D6 → C2 ⊆ Aut C2×C6484(C2xC6).48D12288,680
(C2×C6).49D12 = C6.16D24φ: D12/D6 → C2 ⊆ Aut C2×C696(C2xC6).49D12288,211
(C2×C6).50D12 = C6.17D24φ: D12/D6 → C2 ⊆ Aut C2×C648(C2xC6).50D12288,212
(C2×C6).51D12 = C6.Dic12φ: D12/D6 → C2 ⊆ Aut C2×C696(C2xC6).51D12288,214
(C2×C6).52D12 = C12.73D12φ: D12/D6 → C2 ⊆ Aut C2×C696(C2xC6).52D12288,215
(C2×C6).53D12 = C12.80D12φ: D12/D6 → C2 ⊆ Aut C2×C6484(C2xC6).53D12288,218
(C2×C6).54D12 = C12.Dic6φ: D12/D6 → C2 ⊆ Aut C2×C696(C2xC6).54D12288,221
(C2×C6).55D12 = C6.18D24φ: D12/D6 → C2 ⊆ Aut C2×C696(C2xC6).55D12288,223
(C2×C6).56D12 = C62.6Q8φ: D12/D6 → C2 ⊆ Aut C2×C696(C2xC6).56D12288,227
(C2×C6).57D12 = C62.32D4φ: D12/D6 → C2 ⊆ Aut C2×C6244(C2xC6).57D12288,229
(C2×C6).58D12 = C2×C3⋊D24φ: D12/D6 → C2 ⊆ Aut C2×C648(C2xC6).58D12288,472
(C2×C6).59D12 = C2×D12.S3φ: D12/D6 → C2 ⊆ Aut C2×C696(C2xC6).59D12288,476
(C2×C6).60D12 = D12.28D6φ: D12/D6 → C2 ⊆ Aut C2×C6484(C2xC6).60D12288,478
(C2×C6).61D12 = C2×C32⋊5SD16φ: D12/D6 → C2 ⊆ Aut C2×C648(C2xC6).61D12288,480
(C2×C6).62D12 = Dic6.29D6φ: D12/D6 → C2 ⊆ Aut C2×C6484(C2xC6).62D12288,481
(C2×C6).63D12 = C2×C32⋊3Q16φ: D12/D6 → C2 ⊆ Aut C2×C696(C2xC6).63D12288,483
(C2×C6).64D12 = C2×D6⋊Dic3φ: D12/D6 → C2 ⊆ Aut C2×C696(C2xC6).64D12288,608
(C2×C6).65D12 = C2×C6.D12φ: D12/D6 → C2 ⊆ Aut C2×C648(C2xC6).65D12288,611
(C2×C6).66D12 = C2×Dic3⋊Dic3φ: D12/D6 → C2 ⊆ Aut C2×C696(C2xC6).66D12288,613
(C2×C6).67D12 = C62.60D4φ: D12/D6 → C2 ⊆ Aut C2×C648(C2xC6).67D12288,614
(C2×C6).68D12 = C3×C2.Dic12central extension (φ=1)96(C2xC6).68D12288,250
(C2×C6).69D12 = C3×C8⋊Dic3central extension (φ=1)96(C2xC6).69D12288,251
(C2×C6).70D12 = C3×C24⋊1C4central extension (φ=1)96(C2xC6).70D12288,252
(C2×C6).71D12 = C3×C2.D24central extension (φ=1)96(C2xC6).71D12288,255
(C2×C6).72D12 = C3×C6.C42central extension (φ=1)96(C2xC6).72D12288,265
(C2×C6).73D12 = C6×C24⋊C2central extension (φ=1)96(C2xC6).73D12288,673
(C2×C6).74D12 = C6×D24central extension (φ=1)96(C2xC6).74D12288,674
(C2×C6).75D12 = C6×Dic12central extension (φ=1)96(C2xC6).75D12288,676
(C2×C6).76D12 = C6×C4⋊Dic3central extension (φ=1)96(C2xC6).76D12288,696
(C2×C6).77D12 = C6×D6⋊C4central extension (φ=1)96(C2xC6).77D12288,698

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