# Extensions 1→N→G→Q→1 with N=C3×C12 and Q=C23

Direct product G=N×Q with N=C3×C12 and Q=C23
dρLabelID
C22×C6×C12288C2^2xC6xC12288,1018

Semidirect products G=N:Q with N=C3×C12 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C3×C12)⋊C23 = S32×D4φ: C23/C1C23 ⊆ Aut C3×C12248+(C3xC12):C2^3288,958
(C3×C12)⋊2C23 = C2×S3×D12φ: C23/C2C22 ⊆ Aut C3×C1248(C3xC12):2C2^3288,951
(C3×C12)⋊3C23 = C2×D6⋊D6φ: C23/C2C22 ⊆ Aut C3×C1248(C3xC12):3C2^3288,952
(C3×C12)⋊4C23 = S3×C6×D4φ: C23/C2C22 ⊆ Aut C3×C1248(C3xC12):4C2^3288,992
(C3×C12)⋊5C23 = C2×D4×C3⋊S3φ: C23/C2C22 ⊆ Aut C3×C1272(C3xC12):5C2^3288,1007
(C3×C12)⋊6C23 = S32×C2×C4φ: C23/C2C22 ⊆ Aut C3×C1248(C3xC12):6C2^3288,950
(C3×C12)⋊7C23 = C22×C12⋊S3φ: C23/C22C2 ⊆ Aut C3×C12144(C3xC12):7C2^3288,1005
(C3×C12)⋊8C23 = C2×C6×D12φ: C23/C22C2 ⊆ Aut C3×C1296(C3xC12):8C2^3288,990
(C3×C12)⋊9C23 = S3×C22×C12φ: C23/C22C2 ⊆ Aut C3×C1296(C3xC12):9C2^3288,989
(C3×C12)⋊10C23 = C22×C4×C3⋊S3φ: C23/C22C2 ⊆ Aut C3×C12144(C3xC12):10C2^3288,1004
(C3×C12)⋊11C23 = D4×C62φ: C23/C22C2 ⊆ Aut C3×C12144(C3xC12):11C2^3288,1019

Non-split extensions G=N.Q with N=C3×C12 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C3×C12).1C23 = S3×D4⋊S3φ: C23/C1C23 ⊆ Aut C3×C12488+(C3xC12).1C2^3288,572
(C3×C12).2C23 = Dic63D6φ: C23/C1C23 ⊆ Aut C3×C12488+(C3xC12).2C2^3288,573
(C3×C12).3C23 = D12⋊D6φ: C23/C1C23 ⊆ Aut C3×C12248+(C3xC12).3C2^3288,574
(C3×C12).4C23 = D12.D6φ: C23/C1C23 ⊆ Aut C3×C12488-(C3xC12).4C2^3288,575
(C3×C12).5C23 = S3×D4.S3φ: C23/C1C23 ⊆ Aut C3×C12488-(C3xC12).5C2^3288,576
(C3×C12).6C23 = Dic6.19D6φ: C23/C1C23 ⊆ Aut C3×C12488-(C3xC12).6C2^3288,577
(C3×C12).7C23 = Dic6⋊D6φ: C23/C1C23 ⊆ Aut C3×C12248+(C3xC12).7C2^3288,578
(C3×C12).8C23 = Dic6.D6φ: C23/C1C23 ⊆ Aut C3×C12488-(C3xC12).8C2^3288,579
(C3×C12).9C23 = D129D6φ: C23/C1C23 ⊆ Aut C3×C12488-(C3xC12).9C2^3288,580
(C3×C12).10C23 = D12.22D6φ: C23/C1C23 ⊆ Aut C3×C12488-(C3xC12).10C2^3288,581
(C3×C12).11C23 = D12.7D6φ: C23/C1C23 ⊆ Aut C3×C12488+(C3xC12).11C2^3288,582
(C3×C12).12C23 = Dic6.20D6φ: C23/C1C23 ⊆ Aut C3×C12488+(C3xC12).12C2^3288,583
(C3×C12).13C23 = D12.8D6φ: C23/C1C23 ⊆ Aut C3×C12488-(C3xC12).13C2^3288,584
(C3×C12).14C23 = D125D6φ: C23/C1C23 ⊆ Aut C3×C12248+(C3xC12).14C2^3288,585
(C3×C12).15C23 = S3×Q82S3φ: C23/C1C23 ⊆ Aut C3×C12488+(C3xC12).15C2^3288,586
(C3×C12).16C23 = D126D6φ: C23/C1C23 ⊆ Aut C3×C12488+(C3xC12).16C2^3288,587
(C3×C12).17C23 = D12.9D6φ: C23/C1C23 ⊆ Aut C3×C12488-(C3xC12).17C2^3288,588
(C3×C12).18C23 = D12.10D6φ: C23/C1C23 ⊆ Aut C3×C12488+(C3xC12).18C2^3288,589
(C3×C12).19C23 = S3×C3⋊Q16φ: C23/C1C23 ⊆ Aut C3×C12968-(C3xC12).19C2^3288,590
(C3×C12).20C23 = D12.11D6φ: C23/C1C23 ⊆ Aut C3×C12968-(C3xC12).20C2^3288,591
(C3×C12).21C23 = Dic6.9D6φ: C23/C1C23 ⊆ Aut C3×C12488-(C3xC12).21C2^3288,592
(C3×C12).22C23 = Dic6.10D6φ: C23/C1C23 ⊆ Aut C3×C12488+(C3xC12).22C2^3288,593
(C3×C12).23C23 = D12.24D6φ: C23/C1C23 ⊆ Aut C3×C12968-(C3xC12).23C2^3288,594
(C3×C12).24C23 = D12.12D6φ: C23/C1C23 ⊆ Aut C3×C12968-(C3xC12).24C2^3288,595
(C3×C12).25C23 = Dic6.22D6φ: C23/C1C23 ⊆ Aut C3×C12488+(C3xC12).25C2^3288,596
(C3×C12).26C23 = D12.13D6φ: C23/C1C23 ⊆ Aut C3×C12488+(C3xC12).26C2^3288,597
(C3×C12).27C23 = D12.14D6φ: C23/C1C23 ⊆ Aut C3×C12488+(C3xC12).27C2^3288,598
(C3×C12).28C23 = D12.15D6φ: C23/C1C23 ⊆ Aut C3×C12488-(C3xC12).28C2^3288,599
(C3×C12).29C23 = Dic6.24D6φ: C23/C1C23 ⊆ Aut C3×C12488-(C3xC12).29C2^3288,957
(C3×C12).30C23 = S3×D42S3φ: C23/C1C23 ⊆ Aut C3×C12488-(C3xC12).30C2^3288,959
(C3×C12).31C23 = Dic612D6φ: C23/C1C23 ⊆ Aut C3×C12248+(C3xC12).31C2^3288,960
(C3×C12).32C23 = D1212D6φ: C23/C1C23 ⊆ Aut C3×C12488-(C3xC12).32C2^3288,961
(C3×C12).33C23 = D1213D6φ: C23/C1C23 ⊆ Aut C3×C12248+(C3xC12).33C2^3288,962
(C3×C12).34C23 = D12.25D6φ: C23/C1C23 ⊆ Aut C3×C12488-(C3xC12).34C2^3288,963
(C3×C12).35C23 = Dic6.26D6φ: C23/C1C23 ⊆ Aut C3×C12488+(C3xC12).35C2^3288,964
(C3×C12).36C23 = S32×Q8φ: C23/C1C23 ⊆ Aut C3×C12488-(C3xC12).36C2^3288,965
(C3×C12).37C23 = S3×Q83S3φ: C23/C1C23 ⊆ Aut C3×C12488+(C3xC12).37C2^3288,966
(C3×C12).38C23 = D1215D6φ: C23/C1C23 ⊆ Aut C3×C12488-(C3xC12).38C2^3288,967
(C3×C12).39C23 = D1216D6φ: C23/C1C23 ⊆ Aut C3×C12488+(C3xC12).39C2^3288,968
(C3×C12).40C23 = S3×C24⋊C2φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).40C2^3288,440
(C3×C12).41C23 = S3×D24φ: C23/C2C22 ⊆ Aut C3×C12484+(C3xC12).41C2^3288,441
(C3×C12).42C23 = C241D6φ: C23/C2C22 ⊆ Aut C3×C12484+(C3xC12).42C2^3288,442
(C3×C12).43C23 = D24⋊S3φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).43C2^3288,443
(C3×C12).44C23 = C249D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).44C2^3288,444
(C3×C12).45C23 = C244D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).45C2^3288,445
(C3×C12).46C23 = C246D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).46C2^3288,446
(C3×C12).47C23 = S3×Dic12φ: C23/C2C22 ⊆ Aut C3×C12964-(C3xC12).47C2^3288,447
(C3×C12).48C23 = C24.3D6φ: C23/C2C22 ⊆ Aut C3×C12964-(C3xC12).48C2^3288,448
(C3×C12).49C23 = Dic12⋊S3φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).49C2^3288,449
(C3×C12).50C23 = C24.23D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).50C2^3288,450
(C3×C12).51C23 = D6.1D12φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).51C2^3288,454
(C3×C12).52C23 = D247S3φ: C23/C2C22 ⊆ Aut C3×C12964-(C3xC12).52C2^3288,455
(C3×C12).53C23 = D6.3D12φ: C23/C2C22 ⊆ Aut C3×C12484+(C3xC12).53C2^3288,456
(C3×C12).54C23 = D12.2D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).54C2^3288,457
(C3×C12).55C23 = D245S3φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).55C2^3288,458
(C3×C12).56C23 = D12.4D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).56C2^3288,459
(C3×C12).57C23 = C2×C322D8φ: C23/C2C22 ⊆ Aut C3×C1296(C3xC12).57C2^3288,469
(C3×C12).58C23 = D12.30D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).58C2^3288,470
(C3×C12).59C23 = D1220D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).59C2^3288,471
(C3×C12).60C23 = C2×C3⋊D24φ: C23/C2C22 ⊆ Aut C3×C1248(C3xC12).60C2^3288,472
(C3×C12).61C23 = D1218D6φ: C23/C2C22 ⊆ Aut C3×C12244+(C3xC12).61C2^3288,473
(C3×C12).62C23 = C2×Dic6⋊S3φ: C23/C2C22 ⊆ Aut C3×C1296(C3xC12).62C2^3288,474
(C3×C12).63C23 = D12.32D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).63C2^3288,475
(C3×C12).64C23 = C2×D12.S3φ: C23/C2C22 ⊆ Aut C3×C1296(C3xC12).64C2^3288,476
(C3×C12).65C23 = D12.27D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).65C2^3288,477
(C3×C12).66C23 = D12.28D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).66C2^3288,478
(C3×C12).67C23 = D12.29D6φ: C23/C2C22 ⊆ Aut C3×C12484-(C3xC12).67C2^3288,479
(C3×C12).68C23 = C2×C325SD16φ: C23/C2C22 ⊆ Aut C3×C1248(C3xC12).68C2^3288,480
(C3×C12).69C23 = Dic6.29D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).69C2^3288,481
(C3×C12).70C23 = C2×C322Q16φ: C23/C2C22 ⊆ Aut C3×C1296(C3xC12).70C2^3288,482
(C3×C12).71C23 = C2×C323Q16φ: C23/C2C22 ⊆ Aut C3×C1296(C3xC12).71C2^3288,483
(C3×C12).72C23 = C3×S3×D8φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).72C2^3288,681
(C3×C12).73C23 = C3×D8⋊S3φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).73C2^3288,682
(C3×C12).74C23 = C3×D83S3φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).74C2^3288,683
(C3×C12).75C23 = C3×S3×SD16φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).75C2^3288,684
(C3×C12).76C23 = C3×Q83D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).76C2^3288,685
(C3×C12).77C23 = C3×D4.D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).77C2^3288,686
(C3×C12).78C23 = C3×Q8.7D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).78C2^3288,687
(C3×C12).79C23 = C3×S3×Q16φ: C23/C2C22 ⊆ Aut C3×C12964(C3xC12).79C2^3288,688
(C3×C12).80C23 = C3×Q16⋊S3φ: C23/C2C22 ⊆ Aut C3×C12964(C3xC12).80C2^3288,689
(C3×C12).81C23 = C3×D24⋊C2φ: C23/C2C22 ⊆ Aut C3×C12964(C3xC12).81C2^3288,690
(C3×C12).82C23 = C6×D4⋊S3φ: C23/C2C22 ⊆ Aut C3×C1248(C3xC12).82C2^3288,702
(C3×C12).83C23 = C3×D126C22φ: C23/C2C22 ⊆ Aut C3×C12244(C3xC12).83C2^3288,703
(C3×C12).84C23 = C6×D4.S3φ: C23/C2C22 ⊆ Aut C3×C1248(C3xC12).84C2^3288,704
(C3×C12).85C23 = C6×Q82S3φ: C23/C2C22 ⊆ Aut C3×C1296(C3xC12).85C2^3288,712
(C3×C12).86C23 = C3×Q8.11D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).86C2^3288,713
(C3×C12).87C23 = C6×C3⋊Q16φ: C23/C2C22 ⊆ Aut C3×C1296(C3xC12).87C2^3288,714
(C3×C12).88C23 = C3×D4⋊D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).88C2^3288,720
(C3×C12).89C23 = C3×Q8.13D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).89C2^3288,721
(C3×C12).90C23 = C3×Q8.14D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).90C2^3288,722
(C3×C12).91C23 = D8×C3⋊S3φ: C23/C2C22 ⊆ Aut C3×C1272(C3xC12).91C2^3288,767
(C3×C12).92C23 = C248D6φ: C23/C2C22 ⊆ Aut C3×C1272(C3xC12).92C2^3288,768
(C3×C12).93C23 = C24.26D6φ: C23/C2C22 ⊆ Aut C3×C12144(C3xC12).93C2^3288,769
(C3×C12).94C23 = SD16×C3⋊S3φ: C23/C2C22 ⊆ Aut C3×C1272(C3xC12).94C2^3288,770
(C3×C12).95C23 = C247D6φ: C23/C2C22 ⊆ Aut C3×C1272(C3xC12).95C2^3288,771
(C3×C12).96C23 = C24.32D6φ: C23/C2C22 ⊆ Aut C3×C12144(C3xC12).96C2^3288,772
(C3×C12).97C23 = C24.40D6φ: C23/C2C22 ⊆ Aut C3×C12144(C3xC12).97C2^3288,773
(C3×C12).98C23 = Q16×C3⋊S3φ: C23/C2C22 ⊆ Aut C3×C12144(C3xC12).98C2^3288,774
(C3×C12).99C23 = C24.35D6φ: C23/C2C22 ⊆ Aut C3×C12144(C3xC12).99C2^3288,775
(C3×C12).100C23 = C24.28D6φ: C23/C2C22 ⊆ Aut C3×C12144(C3xC12).100C2^3288,776
(C3×C12).101C23 = C2×C327D8φ: C23/C2C22 ⊆ Aut C3×C12144(C3xC12).101C2^3288,788
(C3×C12).102C23 = C62.131D4φ: C23/C2C22 ⊆ Aut C3×C1272(C3xC12).102C2^3288,789
(C3×C12).103C23 = C2×C329SD16φ: C23/C2C22 ⊆ Aut C3×C12144(C3xC12).103C2^3288,790
(C3×C12).104C23 = C2×C3211SD16φ: C23/C2C22 ⊆ Aut C3×C12144(C3xC12).104C2^3288,798
(C3×C12).105C23 = C62.134D4φ: C23/C2C22 ⊆ Aut C3×C12144(C3xC12).105C2^3288,799
(C3×C12).106C23 = C2×C327Q16φ: C23/C2C22 ⊆ Aut C3×C12288(C3xC12).106C2^3288,800
(C3×C12).107C23 = C62.73D4φ: C23/C2C22 ⊆ Aut C3×C1272(C3xC12).107C2^3288,806
(C3×C12).108C23 = C62.74D4φ: C23/C2C22 ⊆ Aut C3×C12144(C3xC12).108C2^3288,807
(C3×C12).109C23 = C62.75D4φ: C23/C2C22 ⊆ Aut C3×C12144(C3xC12).109C2^3288,808
(C3×C12).110C23 = C2×S3×Dic6φ: C23/C2C22 ⊆ Aut C3×C1296(C3xC12).110C2^3288,942
(C3×C12).111C23 = C2×D125S3φ: C23/C2C22 ⊆ Aut C3×C1296(C3xC12).111C2^3288,943
(C3×C12).112C23 = C2×D12⋊S3φ: C23/C2C22 ⊆ Aut C3×C1248(C3xC12).112C2^3288,944
(C3×C12).113C23 = D12.33D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).113C2^3288,945
(C3×C12).114C23 = D12.34D6φ: C23/C2C22 ⊆ Aut C3×C12484-(C3xC12).114C2^3288,946
(C3×C12).115C23 = C2×Dic3.D6φ: C23/C2C22 ⊆ Aut C3×C1248(C3xC12).115C2^3288,947
(C3×C12).116C23 = C2×D6.6D6φ: C23/C2C22 ⊆ Aut C3×C1248(C3xC12).116C2^3288,949
(C3×C12).117C23 = S3×C4○D12φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).117C2^3288,953
(C3×C12).118C23 = D1223D6φ: C23/C2C22 ⊆ Aut C3×C12244(C3xC12).118C2^3288,954
(C3×C12).119C23 = D1224D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).119C2^3288,955
(C3×C12).120C23 = D1227D6φ: C23/C2C22 ⊆ Aut C3×C12244+(C3xC12).120C2^3288,956
(C3×C12).121C23 = C6×D42S3φ: C23/C2C22 ⊆ Aut C3×C1248(C3xC12).121C2^3288,993
(C3×C12).122C23 = C3×D46D6φ: C23/C2C22 ⊆ Aut C3×C12244(C3xC12).122C2^3288,994
(C3×C12).123C23 = S3×C6×Q8φ: C23/C2C22 ⊆ Aut C3×C1296(C3xC12).123C2^3288,995
(C3×C12).124C23 = C6×Q83S3φ: C23/C2C22 ⊆ Aut C3×C1296(C3xC12).124C2^3288,996
(C3×C12).125C23 = C3×Q8.15D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).125C2^3288,997
(C3×C12).126C23 = C3×S3×C4○D4φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).126C2^3288,998
(C3×C12).127C23 = C3×D4○D12φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).127C2^3288,999
(C3×C12).128C23 = C3×Q8○D12φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).128C2^3288,1000
(C3×C12).129C23 = C2×C12.D6φ: C23/C2C22 ⊆ Aut C3×C12144(C3xC12).129C2^3288,1008
(C3×C12).130C23 = C3282+ 1+4φ: C23/C2C22 ⊆ Aut C3×C1272(C3xC12).130C2^3288,1009
(C3×C12).131C23 = C2×Q8×C3⋊S3φ: C23/C2C22 ⊆ Aut C3×C12144(C3xC12).131C2^3288,1010
(C3×C12).132C23 = C2×C12.26D6φ: C23/C2C22 ⊆ Aut C3×C12144(C3xC12).132C2^3288,1011
(C3×C12).133C23 = C3272- 1+4φ: C23/C2C22 ⊆ Aut C3×C12144(C3xC12).133C2^3288,1012
(C3×C12).134C23 = C4○D4×C3⋊S3φ: C23/C2C22 ⊆ Aut C3×C1272(C3xC12).134C2^3288,1013
(C3×C12).135C23 = S32×C8φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).135C2^3288,437
(C3×C12).136C23 = S3×C8⋊S3φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).136C2^3288,438
(C3×C12).137C23 = C24⋊D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).137C2^3288,439
(C3×C12).138C23 = C24.63D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).138C2^3288,451
(C3×C12).139C23 = C24.64D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).139C2^3288,452
(C3×C12).140C23 = C24.D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).140C2^3288,453
(C3×C12).141C23 = C2×S3×C3⋊C8φ: C23/C2C22 ⊆ Aut C3×C1296(C3xC12).141C2^3288,460
(C3×C12).142C23 = S3×C4.Dic3φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).142C2^3288,461
(C3×C12).143C23 = D12.2Dic3φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).143C2^3288,462
(C3×C12).144C23 = D12.Dic3φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).144C2^3288,463
(C3×C12).145C23 = C2×C12.29D6φ: C23/C2C22 ⊆ Aut C3×C1248(C3xC12).145C2^3288,464
(C3×C12).146C23 = C3⋊C8.22D6φ: C23/C2C22 ⊆ Aut C3×C12484(C3xC12).146C2^3288,465
(C3×C12).147C23 = C3⋊C820D6φ: C23/C2C22 ⊆ Aut C3×C12244(C3xC12).147C2^3288,466
(C3×C12).148C23 = C2×D6.Dic3φ: C23/C2C22 ⊆ Aut C3×C1296(C3xC12).148C2^3288,467
(C3×C12).149C23 = C2×C12.31D6φ: C23/C2C22 ⊆ Aut C3×C1248(C3xC12).149C2^3288,468
(C3×C12).150C23 = C2×D6.D6φ: C23/C2C22 ⊆ Aut C3×C1248(C3xC12).150C2^3288,948
(C3×C12).151C23 = C2×C242S3φ: C23/C22C2 ⊆ Aut C3×C12144(C3xC12).151C2^3288,759
(C3×C12).152C23 = C2×C325D8φ: C23/C22C2 ⊆ Aut C3×C12144(C3xC12).152C2^3288,760
(C3×C12).153C23 = C24.78D6φ: C23/C22C2 ⊆ Aut C3×C12144(C3xC12).153C2^3288,761
(C3×C12).154C23 = C2×C325Q16φ: C23/C22C2 ⊆ Aut C3×C12288(C3xC12).154C2^3288,762
(C3×C12).155C23 = C243D6φ: C23/C22C2 ⊆ Aut C3×C1272(C3xC12).155C2^3288,765
(C3×C12).156C23 = C24.5D6φ: C23/C22C2 ⊆ Aut C3×C12144(C3xC12).156C2^3288,766
(C3×C12).157C23 = C22×C324Q8φ: C23/C22C2 ⊆ Aut C3×C12288(C3xC12).157C2^3288,1003
(C3×C12).158C23 = C62.154C23φ: C23/C22C2 ⊆ Aut C3×C1272(C3xC12).158C2^3288,1014
(C3×C12).159C23 = C3292- 1+4φ: C23/C22C2 ⊆ Aut C3×C12144(C3xC12).159C2^3288,1015
(C3×C12).160C23 = C6×C24⋊C2φ: C23/C22C2 ⊆ Aut C3×C1296(C3xC12).160C2^3288,673
(C3×C12).161C23 = C6×D24φ: C23/C22C2 ⊆ Aut C3×C1296(C3xC12).161C2^3288,674
(C3×C12).162C23 = C3×C4○D24φ: C23/C22C2 ⊆ Aut C3×C12482(C3xC12).162C2^3288,675
(C3×C12).163C23 = C6×Dic12φ: C23/C22C2 ⊆ Aut C3×C1296(C3xC12).163C2^3288,676
(C3×C12).164C23 = C3×C8⋊D6φ: C23/C22C2 ⊆ Aut C3×C12484(C3xC12).164C2^3288,679
(C3×C12).165C23 = C3×C8.D6φ: C23/C22C2 ⊆ Aut C3×C12484(C3xC12).165C2^3288,680
(C3×C12).166C23 = C2×C6×Dic6φ: C23/C22C2 ⊆ Aut C3×C1296(C3xC12).166C2^3288,988
(C3×C12).167C23 = S3×C2×C24φ: C23/C22C2 ⊆ Aut C3×C1296(C3xC12).167C2^3288,670
(C3×C12).168C23 = C6×C8⋊S3φ: C23/C22C2 ⊆ Aut C3×C1296(C3xC12).168C2^3288,671
(C3×C12).169C23 = C3×C8○D12φ: C23/C22C2 ⊆ Aut C3×C12482(C3xC12).169C2^3288,672
(C3×C12).170C23 = C3×S3×M4(2)φ: C23/C22C2 ⊆ Aut C3×C12484(C3xC12).170C2^3288,677
(C3×C12).171C23 = C3×D12.C4φ: C23/C22C2 ⊆ Aut C3×C12484(C3xC12).171C2^3288,678
(C3×C12).172C23 = C2×C6×C3⋊C8φ: C23/C22C2 ⊆ Aut C3×C1296(C3xC12).172C2^3288,691
(C3×C12).173C23 = C6×C4.Dic3φ: C23/C22C2 ⊆ Aut C3×C1248(C3xC12).173C2^3288,692
(C3×C12).174C23 = C3×D4.Dic3φ: C23/C22C2 ⊆ Aut C3×C12484(C3xC12).174C2^3288,719
(C3×C12).175C23 = C2×C8×C3⋊S3φ: C23/C22C2 ⊆ Aut C3×C12144(C3xC12).175C2^3288,756
(C3×C12).176C23 = C2×C24⋊S3φ: C23/C22C2 ⊆ Aut C3×C12144(C3xC12).176C2^3288,757
(C3×C12).177C23 = C24.95D6φ: C23/C22C2 ⊆ Aut C3×C12144(C3xC12).177C2^3288,758
(C3×C12).178C23 = M4(2)×C3⋊S3φ: C23/C22C2 ⊆ Aut C3×C1272(C3xC12).178C2^3288,763
(C3×C12).179C23 = C24.47D6φ: C23/C22C2 ⊆ Aut C3×C12144(C3xC12).179C2^3288,764
(C3×C12).180C23 = C22×C324C8φ: C23/C22C2 ⊆ Aut C3×C12288(C3xC12).180C2^3288,777
(C3×C12).181C23 = C2×C12.58D6φ: C23/C22C2 ⊆ Aut C3×C12144(C3xC12).181C2^3288,778
(C3×C12).182C23 = D4.(C3⋊Dic3)φ: C23/C22C2 ⊆ Aut C3×C12144(C3xC12).182C2^3288,805
(C3×C12).183C23 = C6×C4○D12φ: C23/C22C2 ⊆ Aut C3×C1248(C3xC12).183C2^3288,991
(C3×C12).184C23 = C2×C12.59D6φ: C23/C22C2 ⊆ Aut C3×C12144(C3xC12).184C2^3288,1006
(C3×C12).185C23 = D8×C3×C6φ: C23/C22C2 ⊆ Aut C3×C12144(C3xC12).185C2^3288,829
(C3×C12).186C23 = SD16×C3×C6φ: C23/C22C2 ⊆ Aut C3×C12144(C3xC12).186C2^3288,830
(C3×C12).187C23 = Q16×C3×C6φ: C23/C22C2 ⊆ Aut C3×C12288(C3xC12).187C2^3288,831
(C3×C12).188C23 = C32×C4○D8φ: C23/C22C2 ⊆ Aut C3×C12144(C3xC12).188C2^3288,832
(C3×C12).189C23 = C32×C8⋊C22φ: C23/C22C2 ⊆ Aut C3×C1272(C3xC12).189C2^3288,833
(C3×C12).190C23 = C32×C8.C22φ: C23/C22C2 ⊆ Aut C3×C12144(C3xC12).190C2^3288,834
(C3×C12).191C23 = Q8×C62φ: C23/C22C2 ⊆ Aut C3×C12288(C3xC12).191C2^3288,1020
(C3×C12).192C23 = C32×2+ 1+4φ: C23/C22C2 ⊆ Aut C3×C1272(C3xC12).192C2^3288,1022
(C3×C12).193C23 = C32×2- 1+4φ: C23/C22C2 ⊆ Aut C3×C12144(C3xC12).193C2^3288,1023
(C3×C12).194C23 = M4(2)×C3×C6central extension (φ=1)144(C3xC12).194C2^3288,827
(C3×C12).195C23 = C32×C8○D4central extension (φ=1)144(C3xC12).195C2^3288,828
(C3×C12).196C23 = C4○D4×C3×C6central extension (φ=1)144(C3xC12).196C2^3288,1021

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