Extensions 1→N→G→Q→1 with N=C3xC24 and Q=C22

Direct product G=NxQ with N=C3xC24 and Q=C22
dρLabelID
C2xC6xC24288C2xC6xC24288,826

Semidirect products G=N:Q with N=C3xC24 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C3xC24):1C22 = C24:6D6φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24):1C2^2288,446
(C3xC24):2C22 = D24:S3φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24):2C2^2288,443
(C3xC24):3C22 = C3xC8:D6φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24):3C2^2288,679
(C3xC24):4C22 = C24:1D6φ: C22/C1C22 ⊆ Aut C3xC24484+(C3xC24):4C2^2288,442
(C3xC24):5C22 = C24:3D6φ: C22/C1C22 ⊆ Aut C3xC2472(C3xC24):5C2^2288,765
(C3xC24):6C22 = S3xD24φ: C22/C1C22 ⊆ Aut C3xC24484+(C3xC24):6C2^2288,441
(C3xC24):7C22 = C24:4D6φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24):7C2^2288,445
(C3xC24):8C22 = C3xS3xD8φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24):8C2^2288,681
(C3xC24):9C22 = D8xC3:S3φ: C22/C1C22 ⊆ Aut C3xC2472(C3xC24):9C2^2288,767
(C3xC24):10C22 = C3xQ8:3D6φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24):10C2^2288,685
(C3xC24):11C22 = C24:7D6φ: C22/C1C22 ⊆ Aut C3xC2472(C3xC24):11C2^2288,771
(C3xC24):12C22 = C24:8D6φ: C22/C1C22 ⊆ Aut C3xC2472(C3xC24):12C2^2288,768
(C3xC24):13C22 = C3xD8:S3φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24):13C2^2288,682
(C3xC24):14C22 = S3xC24:C2φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24):14C2^2288,440
(C3xC24):15C22 = C24:9D6φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24):15C2^2288,444
(C3xC24):16C22 = C3xS3xSD16φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24):16C2^2288,684
(C3xC24):17C22 = SD16xC3:S3φ: C22/C1C22 ⊆ Aut C3xC2472(C3xC24):17C2^2288,770
(C3xC24):18C22 = C32xC8:C22φ: C22/C1C22 ⊆ Aut C3xC2472(C3xC24):18C2^2288,833
(C3xC24):19C22 = S32xC8φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24):19C2^2288,437
(C3xC24):20C22 = S3xC8:S3φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24):20C2^2288,438
(C3xC24):21C22 = C24:D6φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24):21C2^2288,439
(C3xC24):22C22 = C3xS3xM4(2)φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24):22C2^2288,677
(C3xC24):23C22 = M4(2)xC3:S3φ: C22/C1C22 ⊆ Aut C3xC2472(C3xC24):23C2^2288,763
(C3xC24):24C22 = C2xC32:5D8φ: C22/C2C2 ⊆ Aut C3xC24144(C3xC24):24C2^2288,760
(C3xC24):25C22 = C6xD24φ: C22/C2C2 ⊆ Aut C3xC2496(C3xC24):25C2^2288,674
(C3xC24):26C22 = C2xC24:2S3φ: C22/C2C2 ⊆ Aut C3xC24144(C3xC24):26C2^2288,759
(C3xC24):27C22 = C6xC24:C2φ: C22/C2C2 ⊆ Aut C3xC2496(C3xC24):27C2^2288,673
(C3xC24):28C22 = D8xC3xC6φ: C22/C2C2 ⊆ Aut C3xC24144(C3xC24):28C2^2288,829
(C3xC24):29C22 = S3xC2xC24φ: C22/C2C2 ⊆ Aut C3xC2496(C3xC24):29C2^2288,670
(C3xC24):30C22 = C2xC8xC3:S3φ: C22/C2C2 ⊆ Aut C3xC24144(C3xC24):30C2^2288,756
(C3xC24):31C22 = C2xC24:S3φ: C22/C2C2 ⊆ Aut C3xC24144(C3xC24):31C2^2288,757
(C3xC24):32C22 = C6xC8:S3φ: C22/C2C2 ⊆ Aut C3xC2496(C3xC24):32C2^2288,671
(C3xC24):33C22 = SD16xC3xC6φ: C22/C2C2 ⊆ Aut C3xC24144(C3xC24):33C2^2288,830
(C3xC24):34C22 = M4(2)xC3xC6φ: C22/C2C2 ⊆ Aut C3xC24144(C3xC24):34C2^2288,827

Non-split extensions G=N.Q with N=C3xC24 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C3xC24).1C22 = D12.4D6φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24).1C2^2288,459
(C3xC24).2C22 = Dic12:S3φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24).2C2^2288,449
(C3xC24).3C22 = C3xC8.D6φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24).3C2^2288,680
(C3xC24).4C22 = C24.3D6φ: C22/C1C22 ⊆ Aut C3xC24964-(C3xC24).4C2^2288,448
(C3xC24).5C22 = C24.5D6φ: C22/C1C22 ⊆ Aut C3xC24144(C3xC24).5C2^2288,766
(C3xC24).6C22 = C32:2D16φ: C22/C1C22 ⊆ Aut C3xC24964(C3xC24).6C2^2288,193
(C3xC24).7C22 = C3:D48φ: C22/C1C22 ⊆ Aut C3xC24484+(C3xC24).7C2^2288,194
(C3xC24).8C22 = D24.S3φ: C22/C1C22 ⊆ Aut C3xC24964(C3xC24).8C2^2288,195
(C3xC24).9C22 = C32:3SD32φ: C22/C1C22 ⊆ Aut C3xC24964-(C3xC24).9C2^2288,196
(C3xC24).10C22 = C24.49D6φ: C22/C1C22 ⊆ Aut C3xC24484+(C3xC24).10C2^2288,197
(C3xC24).11C22 = C32:2Q32φ: C22/C1C22 ⊆ Aut C3xC24964(C3xC24).11C2^2288,198
(C3xC24).12C22 = C32:3Q32φ: C22/C1C22 ⊆ Aut C3xC24964-(C3xC24).12C2^2288,199
(C3xC24).13C22 = C3xC3:D16φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24).13C2^2288,260
(C3xC24).14C22 = C3xD8.S3φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24).14C2^2288,261
(C3xC24).15C22 = C3xC8.6D6φ: C22/C1C22 ⊆ Aut C3xC24964(C3xC24).15C2^2288,262
(C3xC24).16C22 = C3xC3:Q32φ: C22/C1C22 ⊆ Aut C3xC24964(C3xC24).16C2^2288,263
(C3xC24).17C22 = C32:7D16φ: C22/C1C22 ⊆ Aut C3xC24144(C3xC24).17C2^2288,301
(C3xC24).18C22 = C32:8SD32φ: C22/C1C22 ⊆ Aut C3xC24144(C3xC24).18C2^2288,302
(C3xC24).19C22 = C32:10SD32φ: C22/C1C22 ⊆ Aut C3xC24144(C3xC24).19C2^2288,303
(C3xC24).20C22 = C32:7Q32φ: C22/C1C22 ⊆ Aut C3xC24288(C3xC24).20C2^2288,304
(C3xC24).21C22 = S3xDic12φ: C22/C1C22 ⊆ Aut C3xC24964-(C3xC24).21C2^2288,447
(C3xC24).22C22 = C24.23D6φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24).22C2^2288,450
(C3xC24).23C22 = D24:7S3φ: C22/C1C22 ⊆ Aut C3xC24964-(C3xC24).23C2^2288,455
(C3xC24).24C22 = D6.3D12φ: C22/C1C22 ⊆ Aut C3xC24484+(C3xC24).24C2^2288,456
(C3xC24).25C22 = D24:5S3φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24).25C2^2288,458
(C3xC24).26C22 = C3xD8:3S3φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24).26C2^2288,683
(C3xC24).27C22 = C3xS3xQ16φ: C22/C1C22 ⊆ Aut C3xC24964(C3xC24).27C2^2288,688
(C3xC24).28C22 = C3xD24:C2φ: C22/C1C22 ⊆ Aut C3xC24964(C3xC24).28C2^2288,690
(C3xC24).29C22 = C24.26D6φ: C22/C1C22 ⊆ Aut C3xC24144(C3xC24).29C2^2288,769
(C3xC24).30C22 = Q16xC3:S3φ: C22/C1C22 ⊆ Aut C3xC24144(C3xC24).30C2^2288,774
(C3xC24).31C22 = C24.28D6φ: C22/C1C22 ⊆ Aut C3xC24144(C3xC24).31C2^2288,776
(C3xC24).32C22 = C3xD4.D6φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24).32C2^2288,686
(C3xC24).33C22 = C24.32D6φ: C22/C1C22 ⊆ Aut C3xC24144(C3xC24).33C2^2288,772
(C3xC24).34C22 = C24.35D6φ: C22/C1C22 ⊆ Aut C3xC24144(C3xC24).34C2^2288,775
(C3xC24).35C22 = C3xQ16:S3φ: C22/C1C22 ⊆ Aut C3xC24964(C3xC24).35C2^2288,689
(C3xC24).36C22 = D6.1D12φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24).36C2^2288,454
(C3xC24).37C22 = D12.2D6φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24).37C2^2288,457
(C3xC24).38C22 = C3xQ8.7D6φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24).38C2^2288,687
(C3xC24).39C22 = C24.40D6φ: C22/C1C22 ⊆ Aut C3xC24144(C3xC24).39C2^2288,773
(C3xC24).40C22 = C32xC8.C22φ: C22/C1C22 ⊆ Aut C3xC24144(C3xC24).40C2^2288,834
(C3xC24).41C22 = S3xC3:C16φ: C22/C1C22 ⊆ Aut C3xC24964(C3xC24).41C2^2288,189
(C3xC24).42C22 = C24.60D6φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24).42C2^2288,190
(C3xC24).43C22 = C24.61D6φ: C22/C1C22 ⊆ Aut C3xC24964(C3xC24).43C2^2288,191
(C3xC24).44C22 = C24.62D6φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24).44C2^2288,192
(C3xC24).45C22 = C24.63D6φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24).45C2^2288,451
(C3xC24).46C22 = C24.64D6φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24).46C2^2288,452
(C3xC24).47C22 = C24.D6φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24).47C2^2288,453
(C3xC24).48C22 = C3xD12.C4φ: C22/C1C22 ⊆ Aut C3xC24484(C3xC24).48C2^2288,678
(C3xC24).49C22 = C24.47D6φ: C22/C1C22 ⊆ Aut C3xC24144(C3xC24).49C2^2288,764
(C3xC24).50C22 = C32:5D16φ: C22/C2C2 ⊆ Aut C3xC24144(C3xC24).50C2^2288,274
(C3xC24).51C22 = C6.D24φ: C22/C2C2 ⊆ Aut C3xC24144(C3xC24).51C2^2288,275
(C3xC24).52C22 = C32:5Q32φ: C22/C2C2 ⊆ Aut C3xC24288(C3xC24).52C2^2288,276
(C3xC24).53C22 = C2xC32:5Q16φ: C22/C2C2 ⊆ Aut C3xC24288(C3xC24).53C2^2288,762
(C3xC24).54C22 = C3xD48φ: C22/C2C2 ⊆ Aut C3xC24962(C3xC24).54C2^2288,233
(C3xC24).55C22 = C3xC48:C2φ: C22/C2C2 ⊆ Aut C3xC24962(C3xC24).55C2^2288,234
(C3xC24).56C22 = C3xDic24φ: C22/C2C2 ⊆ Aut C3xC24962(C3xC24).56C2^2288,235
(C3xC24).57C22 = C3xC4oD24φ: C22/C2C2 ⊆ Aut C3xC24482(C3xC24).57C2^2288,675
(C3xC24).58C22 = C6xDic12φ: C22/C2C2 ⊆ Aut C3xC2496(C3xC24).58C2^2288,676
(C3xC24).59C22 = C24.78D6φ: C22/C2C2 ⊆ Aut C3xC24144(C3xC24).59C2^2288,761
(C3xC24).60C22 = C32xD16φ: C22/C2C2 ⊆ Aut C3xC24144(C3xC24).60C2^2288,329
(C3xC24).61C22 = C32xSD32φ: C22/C2C2 ⊆ Aut C3xC24144(C3xC24).61C2^2288,330
(C3xC24).62C22 = C32xQ32φ: C22/C2C2 ⊆ Aut C3xC24288(C3xC24).62C2^2288,331
(C3xC24).63C22 = Q16xC3xC6φ: C22/C2C2 ⊆ Aut C3xC24288(C3xC24).63C2^2288,831
(C3xC24).64C22 = S3xC48φ: C22/C2C2 ⊆ Aut C3xC24962(C3xC24).64C2^2288,231
(C3xC24).65C22 = C3xD6.C8φ: C22/C2C2 ⊆ Aut C3xC24962(C3xC24).65C2^2288,232
(C3xC24).66C22 = C6xC3:C16φ: C22/C2C2 ⊆ Aut C3xC2496(C3xC24).66C2^2288,245
(C3xC24).67C22 = C3xC12.C8φ: C22/C2C2 ⊆ Aut C3xC24482(C3xC24).67C2^2288,246
(C3xC24).68C22 = C16xC3:S3φ: C22/C2C2 ⊆ Aut C3xC24144(C3xC24).68C2^2288,272
(C3xC24).69C22 = C48:S3φ: C22/C2C2 ⊆ Aut C3xC24144(C3xC24).69C2^2288,273
(C3xC24).70C22 = C2xC24.S3φ: C22/C2C2 ⊆ Aut C3xC24288(C3xC24).70C2^2288,286
(C3xC24).71C22 = C24.94D6φ: C22/C2C2 ⊆ Aut C3xC24144(C3xC24).71C2^2288,287
(C3xC24).72C22 = C24.95D6φ: C22/C2C2 ⊆ Aut C3xC24144(C3xC24).72C2^2288,758
(C3xC24).73C22 = C3xC8oD12φ: C22/C2C2 ⊆ Aut C3xC24482(C3xC24).73C2^2288,672
(C3xC24).74C22 = C32xC4oD8φ: C22/C2C2 ⊆ Aut C3xC24144(C3xC24).74C2^2288,832
(C3xC24).75C22 = C32xC8oD4φ: C22/C2C2 ⊆ Aut C3xC24144(C3xC24).75C2^2288,828
(C3xC24).76C22 = C32xM5(2)central extension (φ=1)144(C3xC24).76C2^2288,328

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