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Extensions 1→N→G→Q→1 with N=C2×C12 and Q=Q8

Direct product G=N×Q with N=C2×C12 and Q=Q8
dρLabelID
Q8×C2×C12192Q8xC2xC12192,1405

Semidirect products G=N:Q with N=C2×C12 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C2×C12)⋊1Q8 = (C2×C4)⋊Dic6φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12):1Q8192,215
(C2×C12)⋊2Q8 = C2×C12⋊Q8φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12):2Q8192,1056
(C2×C12)⋊3Q8 = C6.72+ 1+4φ: Q8/C2 → C22 ⊆ Aut C2×C1296(C2xC12):3Q8192,1059
(C2×C12)⋊4Q8 = C42.88D6φ: Q8/C2 → C22 ⊆ Aut C2×C1296(C2xC12):4Q8192,1076
(C2×C12)⋊5Q8 = C42.90D6φ: Q8/C2 → C22 ⊆ Aut C2×C1296(C2xC12):5Q8192,1078
(C2×C12)⋊6Q8 = (C2×C12)⋊Q8φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12):6Q8192,205
(C2×C12)⋊7Q8 = (C2×Dic3)⋊Q8φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12):7Q8192,538
(C2×C12)⋊8Q8 = C3×C23.78C23φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12):8Q8192,828
(C2×C12)⋊9Q8 = C3×C23.41C23φ: Q8/C2 → C22 ⊆ Aut C2×C1296(C2xC12):9Q8192,1433
(C2×C12)⋊10Q8 = (C2×Dic6)⋊7C4φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12):10Q8192,488
(C2×C12)⋊11Q8 = C3×C23.67C23φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12):11Q8192,824
(C2×C12)⋊12Q8 = C2×C12⋊2Q8φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12):12Q8192,1027
(C2×C12)⋊13Q8 = C42.274D6φ: Q8/C4 → C2 ⊆ Aut C2×C1296(C2xC12):13Q8192,1029
(C2×C12)⋊14Q8 = C2×C4×Dic6φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12):14Q8192,1026
(C2×C12)⋊15Q8 = C6×C4⋊Q8φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12):15Q8192,1420
(C2×C12)⋊16Q8 = C3×C23.37C23φ: Q8/C4 → C2 ⊆ Aut C2×C1296(C2xC12):16Q8192,1422

Non-split extensions G=N.Q with N=C2×C12 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C2×C12).1Q8 = C6.(C4⋊Q8)φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12).1Q8192,216
(C2×C12).2Q8 = (C2×C4).Dic6φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12).2Q8192,219
(C2×C12).3Q8 = (C22×C4).85D6φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12).3Q8192,220
(C2×C12).4Q8 = C12.C42φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12).4Q8192,88
(C2×C12).5Q8 = C12.(C4⋊C4)φ: Q8/C2 → C22 ⊆ Aut C2×C1296(C2xC12).5Q8192,89
(C2×C12).6Q8 = C42⋊3Dic3φ: Q8/C2 → C22 ⊆ Aut C2×C12484(C2xC12).6Q8192,90
(C2×C12).7Q8 = C12.2C42φ: Q8/C2 → C22 ⊆ Aut C2×C1248(C2xC12).7Q8192,91
(C2×C12).8Q8 = (C2×C12).Q8φ: Q8/C2 → C22 ⊆ Aut C2×C12484(C2xC12).8Q8192,92
(C2×C12).9Q8 = M4(2)⋊Dic3φ: Q8/C2 → C22 ⊆ Aut C2×C1296(C2xC12).9Q8192,113
(C2×C12).10Q8 = C12.3C42φ: Q8/C2 → C22 ⊆ Aut C2×C1248(C2xC12).10Q8192,114
(C2×C12).11Q8 = (C2×C24)⋊C4φ: Q8/C2 → C22 ⊆ Aut C2×C12484(C2xC12).11Q8192,115
(C2×C12).12Q8 = C12.20C42φ: Q8/C2 → C22 ⊆ Aut C2×C12484(C2xC12).12Q8192,116
(C2×C12).13Q8 = M4(2)⋊4Dic3φ: Q8/C2 → C22 ⊆ Aut C2×C12484(C2xC12).13Q8192,118
(C2×C12).14Q8 = C2×C6.Q16φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12).14Q8192,521
(C2×C12).15Q8 = C2×C12.Q8φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12).15Q8192,522
(C2×C12).16Q8 = C4⋊C4.225D6φ: Q8/C2 → C22 ⊆ Aut C2×C1296(C2xC12).16Q8192,523
(C2×C12).17Q8 = C12⋊(C4⋊C4)φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12).17Q8192,531
(C2×C12).18Q8 = (C4×Dic3)⋊8C4φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12).18Q8192,534
(C2×C12).19Q8 = (C4×Dic3)⋊9C4φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12).19Q8192,536
(C2×C12).20Q8 = C4⋊C4⋊6Dic3φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12).20Q8192,543
(C2×C12).21Q8 = C4⋊C4.232D6φ: Q8/C2 → C22 ⊆ Aut C2×C1296(C2xC12).21Q8192,554
(C2×C12).22Q8 = C4⋊C4.234D6φ: Q8/C2 → C22 ⊆ Aut C2×C1296(C2xC12).22Q8192,557
(C2×C12).23Q8 = C42.43D6φ: Q8/C2 → C22 ⊆ Aut C2×C1296(C2xC12).23Q8192,558
(C2×C12).24Q8 = Dic3⋊4M4(2)φ: Q8/C2 → C22 ⊆ Aut C2×C1296(C2xC12).24Q8192,677
(C2×C12).25Q8 = C12.88(C2×Q8)φ: Q8/C2 → C22 ⊆ Aut C2×C1296(C2xC12).25Q8192,678
(C2×C12).26Q8 = C23.52D12φ: Q8/C2 → C22 ⊆ Aut C2×C1296(C2xC12).26Q8192,680
(C2×C12).27Q8 = C2×C12.53D4φ: Q8/C2 → C22 ⊆ Aut C2×C1296(C2xC12).27Q8192,682
(C2×C12).28Q8 = C23.8Dic6φ: Q8/C2 → C22 ⊆ Aut C2×C12484(C2xC12).28Q8192,683
(C2×C12).29Q8 = C23.9Dic6φ: Q8/C2 → C22 ⊆ Aut C2×C12484(C2xC12).29Q8192,684
(C2×C12).30Q8 = C2×C4.Dic6φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12).30Q8192,1058
(C2×C12).31Q8 = C12.53D8φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12).31Q8192,38
(C2×C12).32Q8 = C12.39SD16φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12).32Q8192,39
(C2×C12).33Q8 = C6.(C4×Q8)φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12).33Q8192,206
(C2×C12).34Q8 = C2.(C4×Dic6)φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12).34Q8192,213
(C2×C12).35Q8 = Dic3⋊C4⋊C4φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12).35Q8192,214
(C2×C12).36Q8 = C3×C4.9C42φ: Q8/C2 → C22 ⊆ Aut C2×C12484(C2xC12).36Q8192,143
(C2×C12).37Q8 = C3×C22.C42φ: Q8/C2 → C22 ⊆ Aut C2×C1296(C2xC12).37Q8192,149
(C2×C12).38Q8 = C3×M4(2)⋊4C4φ: Q8/C2 → C22 ⊆ Aut C2×C12484(C2xC12).38Q8192,150
(C2×C12).39Q8 = (C2×C12).54D4φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12).39Q8192,541
(C2×C12).40Q8 = (C2×C12).55D4φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12).40Q8192,545
(C2×C12).41Q8 = C3×C23.81C23φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12).41Q8192,831
(C2×C12).42Q8 = C3×C23.83C23φ: Q8/C2 → C22 ⊆ Aut C2×C12192(C2xC12).42Q8192,833
(C2×C12).43Q8 = C3×M4(2)⋊C4φ: Q8/C2 → C22 ⊆ Aut C2×C1296(C2xC12).43Q8192,861
(C2×C12).44Q8 = C3×M4(2).C4φ: Q8/C2 → C22 ⊆ Aut C2×C12484(C2xC12).44Q8192,863
(C2×C12).45Q8 = C24⋊2C8φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).45Q8192,16
(C2×C12).46Q8 = C24⋊1C8φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).46Q8192,17
(C2×C12).47Q8 = C3×C8⋊2C8φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).47Q8192,140
(C2×C12).48Q8 = C3×C8⋊1C8φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).48Q8192,141
(C2×C12).49Q8 = (C2×C42).6S3φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).49Q8192,492
(C2×C12).50Q8 = C3×C23.63C23φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).50Q8192,820
(C2×C12).51Q8 = C12.9C42φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).51Q8192,110
(C2×C12).52Q8 = C12⋊4(C4⋊C4)φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).52Q8192,487
(C2×C12).53Q8 = C42⋊10Dic3φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).53Q8192,494
(C2×C12).54Q8 = C42⋊11Dic3φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).54Q8192,495
(C2×C12).55Q8 = C2×C8⋊Dic3φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).55Q8192,663
(C2×C12).56Q8 = C2×C24⋊1C4φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).56Q8192,664
(C2×C12).57Q8 = C2×C12.6Q8φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).57Q8192,1028
(C2×C12).58Q8 = C12.8C42φ: Q8/C4 → C2 ⊆ Aut C2×C1248(C2xC12).58Q8192,82
(C2×C12).59Q8 = C12⋊7M4(2)φ: Q8/C4 → C2 ⊆ Aut C2×C1296(C2xC12).59Q8192,483
(C2×C12).60Q8 = Dic3⋊C8⋊C2φ: Q8/C4 → C2 ⊆ Aut C2×C1296(C2xC12).60Q8192,661
(C2×C12).61Q8 = C23.27D12φ: Q8/C4 → C2 ⊆ Aut C2×C1296(C2xC12).61Q8192,665
(C2×C12).62Q8 = C2×C24.C4φ: Q8/C4 → C2 ⊆ Aut C2×C1296(C2xC12).62Q8192,666
(C2×C12).63Q8 = (C2×C12)⋊3C8φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).63Q8192,83
(C2×C12).64Q8 = (C2×C24)⋊5C4φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).64Q8192,109
(C2×C12).65Q8 = C2×C12⋊C8φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).65Q8192,482
(C2×C12).66Q8 = C4×Dic3⋊C4φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).66Q8192,490
(C2×C12).67Q8 = C4×C4⋊Dic3φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).67Q8192,493
(C2×C12).68Q8 = C2×Dic3⋊C8φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).68Q8192,658
(C2×C12).69Q8 = C3×C42⋊6C4φ: Q8/C4 → C2 ⊆ Aut C2×C1248(C2xC12).69Q8192,145
(C2×C12).70Q8 = C3×C22.4Q16φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).70Q8192,146
(C2×C12).71Q8 = C3×C42⋊8C4φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).71Q8192,815
(C2×C12).72Q8 = C3×C42⋊9C4φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).72Q8192,817
(C2×C12).73Q8 = C3×C23.65C23φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).73Q8192,822
(C2×C12).74Q8 = C3×C4⋊M4(2)φ: Q8/C4 → C2 ⊆ Aut C2×C1296(C2xC12).74Q8192,856
(C2×C12).75Q8 = C3×C42.6C22φ: Q8/C4 → C2 ⊆ Aut C2×C1296(C2xC12).75Q8192,857
(C2×C12).76Q8 = C6×C4.Q8φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).76Q8192,858
(C2×C12).77Q8 = C6×C2.D8φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).77Q8192,859
(C2×C12).78Q8 = C3×C23.25D4φ: Q8/C4 → C2 ⊆ Aut C2×C1296(C2xC12).78Q8192,860
(C2×C12).79Q8 = C6×C8.C4φ: Q8/C4 → C2 ⊆ Aut C2×C1296(C2xC12).79Q8192,862
(C2×C12).80Q8 = C6×C42.C2φ: Q8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).80Q8192,1416
(C2×C12).81Q8 = C3×C22.7C42central extension (φ=1)192(C2xC12).81Q8192,142
(C2×C12).82Q8 = C12×C4⋊C4central extension (φ=1)192(C2xC12).82Q8192,811
(C2×C12).83Q8 = C6×C4⋊C8central extension (φ=1)192(C2xC12).83Q8192,855

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