Extensions 1→N→G→Q→1 with N=C32xC12 and Q=C22

Direct product G=NxQ with N=C32xC12 and Q=C22
dρLabelID
C62xC12432C6^2xC12432,730

Semidirect products G=N:Q with N=C32xC12 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C32xC12):1C22 = C3xS3xD12φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12):1C2^2432,649
(C32xC12):2C22 = C3xD6:D6φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12):2C2^2432,650
(C32xC12):3C22 = S3xC12:S3φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12):3C2^2432,671
(C32xC12):4C22 = C3:S3xD12φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12):4C2^2432,672
(C32xC12):5C22 = C12:S32φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12):5C2^2432,673
(C32xC12):6C22 = C12:3S32φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12):6C2^2432,691
(C32xC12):7C22 = S3xD4xC32φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12):7C2^2432,704
(C32xC12):8C22 = C3xD4xC3:S3φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12):8C2^2432,714
(C32xC12):9C22 = D4xC33:C2φ: C22/C1C22 ⊆ Aut C32xC12108(C3^2xC12):9C2^2432,724
(C32xC12):10C22 = S32xC12φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12):10C2^2432,648
(C32xC12):11C22 = C4xS3xC3:S3φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12):11C2^2432,670
(C32xC12):12C22 = C4xC32:4D6φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12):12C2^2432,690
(C32xC12):13C22 = C2xC33:12D4φ: C22/C2C2 ⊆ Aut C32xC12216(C3^2xC12):13C2^2432,722
(C32xC12):14C22 = C3xC6xD12φ: C22/C2C2 ⊆ Aut C32xC12144(C3^2xC12):14C2^2432,702
(C32xC12):15C22 = C6xC12:S3φ: C22/C2C2 ⊆ Aut C32xC12144(C3^2xC12):15C2^2432,712
(C32xC12):16C22 = S3xC6xC12φ: C22/C2C2 ⊆ Aut C32xC12144(C3^2xC12):16C2^2432,701
(C32xC12):17C22 = C3:S3xC2xC12φ: C22/C2C2 ⊆ Aut C32xC12144(C3^2xC12):17C2^2432,711
(C32xC12):18C22 = C2xC4xC33:C2φ: C22/C2C2 ⊆ Aut C32xC12216(C3^2xC12):18C2^2432,721
(C32xC12):19C22 = D4xC32xC6φ: C22/C2C2 ⊆ Aut C32xC12216(C3^2xC12):19C2^2432,731

Non-split extensions G=N.Q with N=C32xC12 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C32xC12).1C22 = C3xC32:2D8φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).1C2^2432,418
(C32xC12).2C22 = C3xC3:D24φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).2C2^2432,419
(C32xC12).3C22 = C3xDic6:S3φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).3C2^2432,420
(C32xC12).4C22 = C3xD12.S3φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).4C2^2432,421
(C32xC12).5C22 = C3xC32:5SD16φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).5C2^2432,422
(C32xC12).6C22 = C3xC32:2Q16φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).6C2^2432,423
(C32xC12).7C22 = C3xC32:3Q16φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).7C2^2432,424
(C32xC12).8C22 = C33:6D8φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).8C2^2432,436
(C32xC12).9C22 = C33:7D8φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12).9C2^2432,437
(C32xC12).10C22 = C33:8D8φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12).10C2^2432,438
(C32xC12).11C22 = C33:12SD16φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).11C2^2432,439
(C32xC12).12C22 = C33:13SD16φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).12C2^2432,440
(C32xC12).13C22 = C33:14SD16φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).13C2^2432,441
(C32xC12).14C22 = C33:15SD16φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12).14C2^2432,442
(C32xC12).15C22 = C33:16SD16φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).15C2^2432,443
(C32xC12).16C22 = C33:17SD16φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12).16C2^2432,444
(C32xC12).17C22 = C33:6Q16φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).17C2^2432,445
(C32xC12).18C22 = C33:7Q16φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).18C2^2432,446
(C32xC12).19C22 = C33:8Q16φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).19C2^2432,447
(C32xC12).20C22 = C33:9D8φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).20C2^2432,457
(C32xC12).21C22 = C33:18SD16φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).21C2^2432,458
(C32xC12).22C22 = C33:9Q16φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).22C2^2432,459
(C32xC12).23C22 = C32xD4:S3φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12).23C2^2432,475
(C32xC12).24C22 = C32xD4.S3φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12).24C2^2432,476
(C32xC12).25C22 = C32xQ8:2S3φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).25C2^2432,477
(C32xC12).26C22 = C32xC3:Q16φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).26C2^2432,478
(C32xC12).27C22 = C3xC32:7D8φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12).27C2^2432,491
(C32xC12).28C22 = C3xC32:9SD16φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12).28C2^2432,492
(C32xC12).29C22 = C3xC32:11SD16φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).29C2^2432,493
(C32xC12).30C22 = C3xC32:7Q16φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).30C2^2432,494
(C32xC12).31C22 = C33:15D8φ: C22/C1C22 ⊆ Aut C32xC12216(C3^2xC12).31C2^2432,507
(C32xC12).32C22 = C33:24SD16φ: C22/C1C22 ⊆ Aut C32xC12216(C3^2xC12).32C2^2432,508
(C32xC12).33C22 = C33:27SD16φ: C22/C1C22 ⊆ Aut C32xC12216(C3^2xC12).33C2^2432,509
(C32xC12).34C22 = C33:15Q16φ: C22/C1C22 ⊆ Aut C32xC12432(C3^2xC12).34C2^2432,510
(C32xC12).35C22 = C3xS3xDic6φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).35C2^2432,642
(C32xC12).36C22 = C3xD12:5S3φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).36C2^2432,643
(C32xC12).37C22 = C3xD12:S3φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).37C2^2432,644
(C32xC12).38C22 = C3xDic3.D6φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).38C2^2432,645
(C32xC12).39C22 = C3xD6.6D6φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).39C2^2432,647
(C32xC12).40C22 = S3xC32:4Q8φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).40C2^2432,660
(C32xC12).41C22 = (C3xD12):S3φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).41C2^2432,661
(C32xC12).42C22 = D12:(C3:S3)φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12).42C2^2432,662
(C32xC12).43C22 = C3:S3xDic6φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).43C2^2432,663
(C32xC12).44C22 = C12.39S32φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12).44C2^2432,664
(C32xC12).45C22 = C12.40S32φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12).45C2^2432,665
(C32xC12).46C22 = C32:9(S3xQ8)φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12).46C2^2432,666
(C32xC12).47C22 = C12.57S32φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).47C2^2432,668
(C32xC12).48C22 = C12.58S32φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12).48C2^2432,669
(C32xC12).49C22 = C3:S3:4Dic6φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).49C2^2432,687
(C32xC12).50C22 = C12:S3:12S3φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).50C2^2432,688
(C32xC12).51C22 = C32xD4:2S3φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12).51C2^2432,705
(C32xC12).52C22 = S3xQ8xC32φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).52C2^2432,706
(C32xC12).53C22 = C32xQ8:3S3φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).53C2^2432,707
(C32xC12).54C22 = C3xC12.D6φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12).54C2^2432,715
(C32xC12).55C22 = C3xQ8xC3:S3φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).55C2^2432,716
(C32xC12).56C22 = C3xC12.26D6φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).56C2^2432,717
(C32xC12).57C22 = C62.100D6φ: C22/C1C22 ⊆ Aut C32xC12216(C3^2xC12).57C2^2432,725
(C32xC12).58C22 = Q8xC33:C2φ: C22/C1C22 ⊆ Aut C32xC12216(C3^2xC12).58C2^2432,726
(C32xC12).59C22 = (Q8xC33):C2φ: C22/C1C22 ⊆ Aut C32xC12216(C3^2xC12).59C2^2432,727
(C32xC12).60C22 = C3xS3xC3:C8φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).60C2^2432,414
(C32xC12).61C22 = C3xC12.29D6φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).61C2^2432,415
(C32xC12).62C22 = C3xD6.Dic3φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).62C2^2432,416
(C32xC12).63C22 = C3xC12.31D6φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).63C2^2432,417
(C32xC12).64C22 = S3xC32:4C8φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).64C2^2432,430
(C32xC12).65C22 = C3:S3xC3:C8φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).65C2^2432,431
(C32xC12).66C22 = C12.69S32φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12).66C2^2432,432
(C32xC12).67C22 = C33:7M4(2)φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).67C2^2432,433
(C32xC12).68C22 = C33:8M4(2)φ: C22/C1C22 ⊆ Aut C32xC12144(C3^2xC12).68C2^2432,434
(C32xC12).69C22 = C33:9M4(2)φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12).69C2^2432,435
(C32xC12).70C22 = C12.93S32φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).70C2^2432,455
(C32xC12).71C22 = C33:10M4(2)φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).71C2^2432,456
(C32xC12).72C22 = C3xD6.D6φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).72C2^2432,646
(C32xC12).73C22 = C12.73S32φ: C22/C1C22 ⊆ Aut C32xC1272(C3^2xC12).73C2^2432,667
(C32xC12).74C22 = C12.95S32φ: C22/C1C22 ⊆ Aut C32xC12484(C3^2xC12).74C2^2432,689
(C32xC12).75C22 = C33:21SD16φ: C22/C2C2 ⊆ Aut C32xC12216(C3^2xC12).75C2^2432,498
(C32xC12).76C22 = C33:12D8φ: C22/C2C2 ⊆ Aut C32xC12216(C3^2xC12).76C2^2432,499
(C32xC12).77C22 = C33:12Q16φ: C22/C2C2 ⊆ Aut C32xC12432(C3^2xC12).77C2^2432,500
(C32xC12).78C22 = C2xC33:8Q8φ: C22/C2C2 ⊆ Aut C32xC12432(C3^2xC12).78C2^2432,720
(C32xC12).79C22 = C32xC24:C2φ: C22/C2C2 ⊆ Aut C32xC12144(C3^2xC12).79C2^2432,466
(C32xC12).80C22 = C32xD24φ: C22/C2C2 ⊆ Aut C32xC12144(C3^2xC12).80C2^2432,467
(C32xC12).81C22 = C32xDic12φ: C22/C2C2 ⊆ Aut C32xC12144(C3^2xC12).81C2^2432,468
(C32xC12).82C22 = C3xC24:2S3φ: C22/C2C2 ⊆ Aut C32xC12144(C3^2xC12).82C2^2432,482
(C32xC12).83C22 = C3xC32:5D8φ: C22/C2C2 ⊆ Aut C32xC12144(C3^2xC12).83C2^2432,483
(C32xC12).84C22 = C3xC32:5Q16φ: C22/C2C2 ⊆ Aut C32xC12144(C3^2xC12).84C2^2432,484
(C32xC12).85C22 = C3xC6xDic6φ: C22/C2C2 ⊆ Aut C32xC12144(C3^2xC12).85C2^2432,700
(C32xC12).86C22 = C6xC32:4Q8φ: C22/C2C2 ⊆ Aut C32xC12144(C3^2xC12).86C2^2432,710
(C32xC12).87C22 = S3xC3xC24φ: C22/C2C2 ⊆ Aut C32xC12144(C3^2xC12).87C2^2432,464
(C32xC12).88C22 = C32xC8:S3φ: C22/C2C2 ⊆ Aut C32xC12144(C3^2xC12).88C2^2432,465
(C32xC12).89C22 = C3xC6xC3:C8φ: C22/C2C2 ⊆ Aut C32xC12144(C3^2xC12).89C2^2432,469
(C32xC12).90C22 = C32xC4.Dic3φ: C22/C2C2 ⊆ Aut C32xC1272(C3^2xC12).90C2^2432,470
(C32xC12).91C22 = C3:S3xC24φ: C22/C2C2 ⊆ Aut C32xC12144(C3^2xC12).91C2^2432,480
(C32xC12).92C22 = C3xC24:S3φ: C22/C2C2 ⊆ Aut C32xC12144(C3^2xC12).92C2^2432,481
(C32xC12).93C22 = C6xC32:4C8φ: C22/C2C2 ⊆ Aut C32xC12144(C3^2xC12).93C2^2432,485
(C32xC12).94C22 = C3xC12.58D6φ: C22/C2C2 ⊆ Aut C32xC1272(C3^2xC12).94C2^2432,486
(C32xC12).95C22 = C8xC33:C2φ: C22/C2C2 ⊆ Aut C32xC12216(C3^2xC12).95C2^2432,496
(C32xC12).96C22 = C33:15M4(2)φ: C22/C2C2 ⊆ Aut C32xC12216(C3^2xC12).96C2^2432,497
(C32xC12).97C22 = C2xC33:7C8φ: C22/C2C2 ⊆ Aut C32xC12432(C3^2xC12).97C2^2432,501
(C32xC12).98C22 = C33:18M4(2)φ: C22/C2C2 ⊆ Aut C32xC12216(C3^2xC12).98C2^2432,502
(C32xC12).99C22 = C32xC4oD12φ: C22/C2C2 ⊆ Aut C32xC1272(C3^2xC12).99C2^2432,703
(C32xC12).100C22 = C3xC12.59D6φ: C22/C2C2 ⊆ Aut C32xC1272(C3^2xC12).100C2^2432,713
(C32xC12).101C22 = C62.160D6φ: C22/C2C2 ⊆ Aut C32xC12216(C3^2xC12).101C2^2432,723
(C32xC12).102C22 = D8xC33φ: C22/C2C2 ⊆ Aut C32xC12216(C3^2xC12).102C2^2432,517
(C32xC12).103C22 = SD16xC33φ: C22/C2C2 ⊆ Aut C32xC12216(C3^2xC12).103C2^2432,518
(C32xC12).104C22 = Q16xC33φ: C22/C2C2 ⊆ Aut C32xC12432(C3^2xC12).104C2^2432,519
(C32xC12).105C22 = Q8xC32xC6φ: C22/C2C2 ⊆ Aut C32xC12432(C3^2xC12).105C2^2432,732
(C32xC12).106C22 = M4(2)xC33central extension (φ=1)216(C3^2xC12).106C2^2432,516
(C32xC12).107C22 = C4oD4xC33central extension (φ=1)216(C3^2xC12).107C2^2432,733

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