# Extensions 1→N→G→Q→1 with N=C6×C12 and Q=C22

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

Semidirect products G=N:Q with N=C6×C12 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C6×C12)⋊1C22 = D65D12φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12):1C2^2288,571
(C6×C12)⋊2C22 = C6212D4φ: C22/C1C22 ⊆ Aut C6×C1272(C6xC12):2C2^2288,739
(C6×C12)⋊3C22 = C2×S3×D12φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12):3C2^2288,951
(C6×C12)⋊4C22 = C2×D6⋊D6φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12):4C2^2288,952
(C6×C12)⋊5C22 = S3×C4○D12φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12):5C2^2288,953
(C6×C12)⋊6C22 = D1223D6φ: C22/C1C22 ⊆ Aut C6×C12244(C6xC12):6C2^2288,954
(C6×C12)⋊7C22 = D1224D6φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12):7C2^2288,955
(C6×C12)⋊8C22 = D1227D6φ: C22/C1C22 ⊆ Aut C6×C12244+(C6xC12):8C2^2288,956
(C6×C12)⋊9C22 = S3×C6×D4φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12):9C2^2288,992
(C6×C12)⋊10C22 = C3×D46D6φ: C22/C1C22 ⊆ Aut C6×C12244(C6xC12):10C2^2288,994
(C6×C12)⋊11C22 = C3×S3×C4○D4φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12):11C2^2288,998
(C6×C12)⋊12C22 = C3×D4○D12φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12):12C2^2288,999
(C6×C12)⋊13C22 = C2×D4×C3⋊S3φ: C22/C1C22 ⊆ Aut C6×C1272(C6xC12):13C2^2288,1007
(C6×C12)⋊14C22 = C3282+ 1+4φ: C22/C1C22 ⊆ Aut C6×C1272(C6xC12):14C2^2288,1009
(C6×C12)⋊15C22 = C4○D4×C3⋊S3φ: C22/C1C22 ⊆ Aut C6×C1272(C6xC12):15C2^2288,1013
(C6×C12)⋊16C22 = C62.154C23φ: C22/C1C22 ⊆ Aut C6×C1272(C6xC12):16C2^2288,1014
(C6×C12)⋊17C22 = D64D12φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12):17C2^2288,570
(C6×C12)⋊18C22 = C3×D6⋊D4φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12):18C2^2288,653
(C6×C12)⋊19C22 = S3×D6⋊C4φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12):19C2^2288,568
(C6×C12)⋊20C22 = C62.91C23φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12):20C2^2288,569
(C6×C12)⋊21C22 = C3×S3×C22⋊C4φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12):21C2^2288,651
(C6×C12)⋊22C22 = C22⋊C4×C3⋊S3φ: C22/C1C22 ⊆ Aut C6×C1272(C6xC12):22C2^2288,737
(C6×C12)⋊23C22 = S32×C2×C4φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12):23C2^2288,950
(C6×C12)⋊24C22 = C3×C232D6φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12):24C2^2288,708
(C6×C12)⋊25C22 = C6213D4φ: C22/C1C22 ⊆ Aut C6×C1272(C6xC12):25C2^2288,794
(C6×C12)⋊26C22 = C32×C22≀C2φ: C22/C1C22 ⊆ Aut C6×C1272(C6xC12):26C2^2288,817
(C6×C12)⋊27C22 = C32×2+ 1+4φ: C22/C1C22 ⊆ Aut C6×C1272(C6xC12):27C2^2288,1022
(C6×C12)⋊28C22 = C6×D6⋊C4φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12):28C2^2288,698
(C6×C12)⋊29C22 = C2×C6.11D12φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12):29C2^2288,784
(C6×C12)⋊30C22 = C22⋊C4×C3×C6φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12):30C2^2288,812
(C6×C12)⋊31C22 = C22×C12⋊S3φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12):31C2^2288,1005
(C6×C12)⋊32C22 = C2×C12.59D6φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12):32C2^2288,1006
(C6×C12)⋊33C22 = C6×C4○D12φ: C22/C2C2 ⊆ Aut C6×C1248(C6xC12):33C2^2288,991
(C6×C12)⋊34C22 = C2×C6×D12φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12):34C2^2288,990
(C6×C12)⋊35C22 = S3×C22×C12φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12):35C2^2288,989
(C6×C12)⋊36C22 = C22×C4×C3⋊S3φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12):36C2^2288,1004
(C6×C12)⋊37C22 = D4×C62φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12):37C2^2288,1019
(C6×C12)⋊38C22 = C4○D4×C3×C6φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12):38C2^2288,1021

Non-split extensions G=N.Q with N=C6×C12 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C6×C12).1C22 = C62.10C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).1C2^2288,488
(C6×C12).2C22 = Dic3.Dic6φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).2C2^2288,493
(C6×C12).3C22 = C62.31C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).3C2^2288,509
(C6×C12).4C22 = D6.9D12φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).4C2^2288,539
(C6×C12).5C22 = D62Dic6φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).5C2^2288,541
(C6×C12).6C22 = D63Dic6φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).6C2^2288,544
(C6×C12).7C22 = C62.67C23φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).7C2^2288,545
(C6×C12).8C22 = Dic33D12φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).8C2^2288,558
(C6×C12).9C22 = C62.83C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).9C2^2288,561
(C6×C12).10C22 = C626Q8φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).10C2^2288,735
(C6×C12).11C22 = C62.223C23φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).11C2^2288,736
(C6×C12).12C22 = C62.227C23φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).12C2^2288,740
(C6×C12).13C22 = C62.228C23φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).13C2^2288,741
(C6×C12).14C22 = C62.229C23φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).14C2^2288,742
(C6×C12).15C22 = C62.69D4φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).15C2^2288,743
(C6×C12).16C22 = C123D12φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).16C2^2288,752
(C6×C12).17C22 = C62.240C23φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).17C2^2288,753
(C6×C12).18C22 = C12.31D12φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).18C2^2288,754
(C6×C12).19C22 = C62.242C23φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).19C2^2288,755
(C6×C12).20C22 = C12.D12φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).20C2^2288,206
(C6×C12).21C22 = C12.70D12φ: C22/C1C22 ⊆ Aut C6×C12244+(C6xC12).21C2^2288,207
(C6×C12).22C22 = C12.14D12φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).22C2^2288,208
(C6×C12).23C22 = C12.71D12φ: C22/C1C22 ⊆ Aut C6×C12484-(C6xC12).23C2^2288,209
(C6×C12).24C22 = D123Dic3φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).24C2^2288,210
(C6×C12).25C22 = C6.16D24φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).25C2^2288,211
(C6×C12).26C22 = C6.17D24φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).26C2^2288,212
(C6×C12).27C22 = Dic6⋊Dic3φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).27C2^2288,213
(C6×C12).28C22 = C6.Dic12φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).28C2^2288,214
(C6×C12).29C22 = C12.73D12φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).29C2^2288,215
(C6×C12).30C22 = D124Dic3φ: C22/C1C22 ⊆ Aut C6×C12244(C6xC12).30C2^2288,216
(C6×C12).31C22 = D122Dic3φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).31C2^2288,217
(C6×C12).32C22 = C12.80D12φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).32C2^2288,218
(C6×C12).33C22 = C12.Dic6φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).33C2^2288,221
(C6×C12).34C22 = C12.6Dic6φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).34C2^2288,222
(C6×C12).35C22 = C6.18D24φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).35C2^2288,223
(C6×C12).36C22 = C12.8Dic6φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).36C2^2288,224
(C6×C12).37C22 = C12.82D12φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).37C2^2288,225
(C6×C12).38C22 = C62.5Q8φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).38C2^2288,226
(C6×C12).39C22 = C3×C6.Q16φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).39C2^2288,241
(C6×C12).40C22 = C3×C12.Q8φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).40C2^2288,242
(C6×C12).41C22 = C3×C6.D8φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).41C2^2288,243
(C6×C12).42C22 = C3×C6.SD16φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).42C2^2288,244
(C6×C12).43C22 = C3×C12.53D4φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).43C2^2288,256
(C6×C12).44C22 = C3×C12.46D4φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).44C2^2288,257
(C6×C12).45C22 = C3×C12.47D4φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).45C2^2288,258
(C6×C12).46C22 = C3×D12⋊C4φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).46C2^2288,259
(C6×C12).47C22 = C3×D4⋊Dic3φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).47C2^2288,266
(C6×C12).48C22 = C3×C12.D4φ: C22/C1C22 ⊆ Aut C6×C12244(C6xC12).48C2^2288,267
(C6×C12).49C22 = C3×Q82Dic3φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).49C2^2288,269
(C6×C12).50C22 = C3×C12.10D4φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).50C2^2288,270
(C6×C12).51C22 = C3×Q83Dic3φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).51C2^2288,271
(C6×C12).52C22 = C12.9Dic6φ: C22/C1C22 ⊆ Aut C6×C12288(C6xC12).52C2^2288,282
(C6×C12).53C22 = C12.10Dic6φ: C22/C1C22 ⊆ Aut C6×C12288(C6xC12).53C2^2288,283
(C6×C12).54C22 = C62.113D4φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).54C2^2288,284
(C6×C12).55C22 = C62.114D4φ: C22/C1C22 ⊆ Aut C6×C12288(C6xC12).55C2^2288,285
(C6×C12).56C22 = C62.8Q8φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).56C2^2288,297
(C6×C12).57C22 = C12.19D12φ: C22/C1C22 ⊆ Aut C6×C1272(C6xC12).57C2^2288,298
(C6×C12).58C22 = C12.20D12φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).58C2^2288,299
(C6×C12).59C22 = C62.37D4φ: C22/C1C22 ⊆ Aut C6×C1272(C6xC12).59C2^2288,300
(C6×C12).60C22 = C62.116D4φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).60C2^2288,307
(C6×C12).61C22 = (C6×D4).S3φ: C22/C1C22 ⊆ Aut C6×C1272(C6xC12).61C2^2288,308
(C6×C12).62C22 = C62.117D4φ: C22/C1C22 ⊆ Aut C6×C12288(C6xC12).62C2^2288,310
(C6×C12).63C22 = (C6×C12).C4φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).63C2^2288,311
(C6×C12).64C22 = C62.39D4φ: C22/C1C22 ⊆ Aut C6×C1272(C6xC12).64C2^2288,312
(C6×C12).65C22 = S3×C4.Dic3φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).65C2^2288,461
(C6×C12).66C22 = D12.2Dic3φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).66C2^2288,462
(C6×C12).67C22 = D12.Dic3φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).67C2^2288,463
(C6×C12).68C22 = C3⋊C8.22D6φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).68C2^2288,465
(C6×C12).69C22 = C3⋊C820D6φ: C22/C1C22 ⊆ Aut C6×C12244(C6xC12).69C2^2288,466
(C6×C12).70C22 = C2×C322D8φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).70C2^2288,469
(C6×C12).71C22 = D12.30D6φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).71C2^2288,470
(C6×C12).72C22 = D1220D6φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).72C2^2288,471
(C6×C12).73C22 = C2×C3⋊D24φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).73C2^2288,472
(C6×C12).74C22 = D1218D6φ: C22/C1C22 ⊆ Aut C6×C12244+(C6xC12).74C2^2288,473
(C6×C12).75C22 = C2×Dic6⋊S3φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).75C2^2288,474
(C6×C12).76C22 = D12.32D6φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).76C2^2288,475
(C6×C12).77C22 = C2×D12.S3φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).77C2^2288,476
(C6×C12).78C22 = D12.27D6φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).78C2^2288,477
(C6×C12).79C22 = D12.28D6φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).79C2^2288,478
(C6×C12).80C22 = D12.29D6φ: C22/C1C22 ⊆ Aut C6×C12484-(C6xC12).80C2^2288,479
(C6×C12).81C22 = C2×C325SD16φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).81C2^2288,480
(C6×C12).82C22 = Dic6.29D6φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).82C2^2288,481
(C6×C12).83C22 = C2×C322Q16φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).83C2^2288,482
(C6×C12).84C22 = C2×C323Q16φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).84C2^2288,483
(C6×C12).85C22 = C62.11C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).85C2^2288,489
(C6×C12).86C22 = Dic3×Dic6φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).86C2^2288,490
(C6×C12).87C22 = C62.13C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).87C2^2288,491
(C6×C12).88C22 = Dic36Dic6φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).88C2^2288,492
(C6×C12).89C22 = C62.19C23φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).89C2^2288,497
(C6×C12).90C22 = D66Dic6φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).90C2^2288,504
(C6×C12).91C22 = D67Dic6φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).91C2^2288,505
(C6×C12).92C22 = C12.27D12φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).92C2^2288,508
(C6×C12).93C22 = C62.33C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).93C2^2288,511
(C6×C12).94C22 = C12.28D12φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).94C2^2288,512
(C6×C12).95C22 = Dic3⋊Dic6φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).95C2^2288,514
(C6×C12).96C22 = C62.39C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).96C2^2288,517
(C6×C12).97C22 = C12.30D12φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).97C2^2288,519
(C6×C12).98C22 = C62.42C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).98C2^2288,520
(C6×C12).99C22 = C62.43C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).99C2^2288,521
(C6×C12).100C22 = S3×C4⋊Dic3φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).100C2^2288,537
(C6×C12).101C22 = Dic3×D12φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).101C2^2288,540
(C6×C12).102C22 = Dic35D12φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).102C2^2288,542
(C6×C12).103C22 = D12⋊Dic3φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).103C2^2288,546
(C6×C12).104C22 = C62.70C23φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).104C2^2288,548
(C6×C12).105C22 = D62D12φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).105C2^2288,556
(C6×C12).106C22 = C127D12φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).106C2^2288,557
(C6×C12).107C22 = C12⋊D12φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).107C2^2288,559
(C6×C12).108C22 = C62.84C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).108C2^2288,562
(C6×C12).109C22 = C122D12φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).109C2^2288,564
(C6×C12).110C22 = C123Dic6φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).110C2^2288,566
(C6×C12).111C22 = C12⋊Dic6φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).111C2^2288,567
(C6×C12).112C22 = C3×C12⋊Q8φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).112C2^2288,659
(C6×C12).113C22 = C3×S3×M4(2)φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).113C2^2288,677
(C6×C12).114C22 = C3×D12.C4φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).114C2^2288,678
(C6×C12).115C22 = C3×C8⋊D6φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).115C2^2288,679
(C6×C12).116C22 = C3×C8.D6φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).116C2^2288,680
(C6×C12).117C22 = C6×D4⋊S3φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).117C2^2288,702
(C6×C12).118C22 = C3×D126C22φ: C22/C1C22 ⊆ Aut C6×C12244(C6xC12).118C2^2288,703
(C6×C12).119C22 = C6×D4.S3φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).119C2^2288,704
(C6×C12).120C22 = C3×D4×Dic3φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).120C2^2288,705
(C6×C12).121C22 = C3×C23.12D6φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).121C2^2288,707
(C6×C12).122C22 = C3×D63D4φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).122C2^2288,709
(C6×C12).123C22 = C3×C123D4φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).123C2^2288,711
(C6×C12).124C22 = C6×Q82S3φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).124C2^2288,712
(C6×C12).125C22 = C3×Q8.11D6φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).125C2^2288,713
(C6×C12).126C22 = C6×C3⋊Q16φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).126C2^2288,714
(C6×C12).127C22 = C3×Q8×Dic3φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).127C2^2288,716
(C6×C12).128C22 = C3×D63Q8φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).128C2^2288,717
(C6×C12).129C22 = C3×C12.23D4φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).129C2^2288,718
(C6×C12).130C22 = C3×D4.Dic3φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).130C2^2288,719
(C6×C12).131C22 = C3×D4⋊D6φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).131C2^2288,720
(C6×C12).132C22 = C3×Q8.13D6φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).132C2^2288,721
(C6×C12).133C22 = C3×Q8.14D6φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).133C2^2288,722
(C6×C12).134C22 = C122Dic6φ: C22/C1C22 ⊆ Aut C6×C12288(C6xC12).134C2^2288,745
(C6×C12).135C22 = C62.234C23φ: C22/C1C22 ⊆ Aut C6×C12288(C6xC12).135C2^2288,747
(C6×C12).136C22 = M4(2)×C3⋊S3φ: C22/C1C22 ⊆ Aut C6×C1272(C6xC12).136C2^2288,763
(C6×C12).137C22 = C24.47D6φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).137C2^2288,764
(C6×C12).138C22 = C243D6φ: C22/C1C22 ⊆ Aut C6×C1272(C6xC12).138C2^2288,765
(C6×C12).139C22 = C24.5D6φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).139C2^2288,766
(C6×C12).140C22 = C2×C327D8φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).140C2^2288,788
(C6×C12).141C22 = C62.131D4φ: C22/C1C22 ⊆ Aut C6×C1272(C6xC12).141C2^2288,789
(C6×C12).142C22 = C2×C329SD16φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).142C2^2288,790
(C6×C12).143C22 = D4×C3⋊Dic3φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).143C2^2288,791
(C6×C12).144C22 = C62.254C23φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).144C2^2288,793
(C6×C12).145C22 = C62.256C23φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).145C2^2288,795
(C6×C12).146C22 = C62.258C23φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).146C2^2288,797
(C6×C12).147C22 = C2×C3211SD16φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).147C2^2288,798
(C6×C12).148C22 = C62.134D4φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).148C2^2288,799
(C6×C12).149C22 = C2×C327Q16φ: C22/C1C22 ⊆ Aut C6×C12288(C6xC12).149C2^2288,800
(C6×C12).150C22 = Q8×C3⋊Dic3φ: C22/C1C22 ⊆ Aut C6×C12288(C6xC12).150C2^2288,802
(C6×C12).151C22 = C62.262C23φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).151C2^2288,804
(C6×C12).152C22 = D4.(C3⋊Dic3)φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).152C2^2288,805
(C6×C12).153C22 = C62.73D4φ: C22/C1C22 ⊆ Aut C6×C1272(C6xC12).153C2^2288,806
(C6×C12).154C22 = C62.74D4φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).154C2^2288,807
(C6×C12).155C22 = C62.75D4φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).155C2^2288,808
(C6×C12).156C22 = C2×S3×Dic6φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).156C2^2288,942
(C6×C12).157C22 = C2×D125S3φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).157C2^2288,943
(C6×C12).158C22 = C2×D12⋊S3φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).158C2^2288,944
(C6×C12).159C22 = D12.33D6φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).159C2^2288,945
(C6×C12).160C22 = D12.34D6φ: C22/C1C22 ⊆ Aut C6×C12484-(C6xC12).160C2^2288,946
(C6×C12).161C22 = C2×Dic3.D6φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).161C2^2288,947
(C6×C12).162C22 = C2×D6.6D6φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).162C2^2288,949
(C6×C12).163C22 = C6×D42S3φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).163C2^2288,993
(C6×C12).164C22 = S3×C6×Q8φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).164C2^2288,995
(C6×C12).165C22 = C6×Q83S3φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).165C2^2288,996
(C6×C12).166C22 = C3×Q8.15D6φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).166C2^2288,997
(C6×C12).167C22 = C3×Q8○D12φ: C22/C1C22 ⊆ Aut C6×C12484(C6xC12).167C2^2288,1000
(C6×C12).168C22 = C2×C12.D6φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).168C2^2288,1008
(C6×C12).169C22 = C2×Q8×C3⋊S3φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).169C2^2288,1010
(C6×C12).170C22 = C2×C12.26D6φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).170C2^2288,1011
(C6×C12).171C22 = C3272- 1+4φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).171C2^2288,1012
(C6×C12).172C22 = C3292- 1+4φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).172C2^2288,1015
(C6×C12).173C22 = C62.9C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).173C2^2288,487
(C6×C12).174C22 = C62.16C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).174C2^2288,494
(C6×C12).175C22 = C62.17C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).175C2^2288,495
(C6×C12).176C22 = C62.18C23φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).176C2^2288,496
(C6×C12).177C22 = C62.24C23φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).177C2^2288,502
(C6×C12).178C22 = C62.28C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).178C2^2288,506
(C6×C12).179C22 = C62.54C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).179C2^2288,532
(C6×C12).180C22 = C62.55C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).180C2^2288,533
(C6×C12).181C22 = Dic3⋊D12φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).181C2^2288,534
(C6×C12).182C22 = D61Dic6φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).182C2^2288,535
(C6×C12).183C22 = C62.58C23φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).183C2^2288,536
(C6×C12).184C22 = D6.D12φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).184C2^2288,538
(C6×C12).185C22 = C62.65C23φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).185C2^2288,543
(C6×C12).186C22 = D64Dic6φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).186C2^2288,547
(C6×C12).187C22 = C62.77C23φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).187C2^2288,555
(C6×C12).188C22 = C3×Dic3.D4φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).188C2^2288,649
(C6×C12).189C22 = C3×C23.8D6φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).189C2^2288,650
(C6×C12).190C22 = C3×Dic3⋊D4φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).190C2^2288,655
(C6×C12).191C22 = C3×C23.21D6φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).191C2^2288,657
(C6×C12).192C22 = C3×C4.Dic6φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).192C2^2288,661
(C6×C12).193C22 = C3×D6.D4φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).193C2^2288,665
(C6×C12).194C22 = C3×C12⋊D4φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).194C2^2288,666
(C6×C12).195C22 = C3×C4.D12φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).195C2^2288,668
(C6×C12).196C22 = Dic3×C3⋊C8φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).196C2^2288,200
(C6×C12).197C22 = C6.(S3×C8)φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).197C2^2288,201
(C6×C12).198C22 = C3⋊C8⋊Dic3φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).198C2^2288,202
(C6×C12).199C22 = C2.Dic32φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).199C2^2288,203
(C6×C12).200C22 = C12.77D12φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).200C2^2288,204
(C6×C12).201C22 = C12.78D12φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).201C2^2288,205
(C6×C12).202C22 = C12.81D12φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).202C2^2288,219
(C6×C12).203C22 = C12.15Dic6φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).203C2^2288,220
(C6×C12).204C22 = C2×S3×C3⋊C8φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).204C2^2288,460
(C6×C12).205C22 = C2×C12.29D6φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).205C2^2288,464
(C6×C12).206C22 = C2×D6.Dic3φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).206C2^2288,467
(C6×C12).207C22 = C2×C12.31D6φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).207C2^2288,468
(C6×C12).208C22 = C62.6C23φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).208C2^2288,484
(C6×C12).209C22 = Dic35Dic6φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).209C2^2288,485
(C6×C12).210C22 = C62.8C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).210C2^2288,486
(C6×C12).211C22 = C62.20C23φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).211C2^2288,498
(C6×C12).212C22 = D6⋊Dic6φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).212C2^2288,499
(C6×C12).213C22 = Dic3.D12φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).213C2^2288,500
(C6×C12).214C22 = C62.23C23φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).214C2^2288,501
(C6×C12).215C22 = C62.25C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).215C2^2288,503
(C6×C12).216C22 = C62.29C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).216C2^2288,507
(C6×C12).217C22 = C62.32C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).217C2^2288,510
(C6×C12).218C22 = C62.35C23φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).218C2^2288,513
(C6×C12).219C22 = C62.37C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).219C2^2288,515
(C6×C12).220C22 = C62.38C23φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).220C2^2288,516
(C6×C12).221C22 = C62.40C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).221C2^2288,518
(C6×C12).222C22 = C62.44C23φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).222C2^2288,522
(C6×C12).223C22 = C4×S3×Dic3φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).223C2^2288,523
(C6×C12).224C22 = S3×Dic3⋊C4φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).224C2^2288,524
(C6×C12).225C22 = C62.47C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).225C2^2288,525
(C6×C12).226C22 = C62.48C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).226C2^2288,526
(C6×C12).227C22 = C62.49C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).227C2^2288,527
(C6×C12).228C22 = Dic34D12φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).228C2^2288,528
(C6×C12).229C22 = C62.51C23φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).229C2^2288,529
(C6×C12).230C22 = C4×C6.D6φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).230C2^2288,530
(C6×C12).231C22 = C62.53C23φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).231C2^2288,531
(C6×C12).232C22 = C4×D6⋊S3φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).232C2^2288,549
(C6×C12).233C22 = C62.72C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).233C2^2288,550
(C6×C12).234C22 = C4×C3⋊D12φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).234C2^2288,551
(C6×C12).235C22 = C62.74C23φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).235C2^2288,552
(C6×C12).236C22 = C62.75C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).236C2^2288,553
(C6×C12).237C22 = D6⋊D12φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).237C2^2288,554
(C6×C12).238C22 = C62.82C23φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).238C2^2288,560
(C6×C12).239C22 = C62.85C23φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).239C2^2288,563
(C6×C12).240C22 = C4×C322Q8φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).240C2^2288,565
(C6×C12).241C22 = C3×C23.16D6φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).241C2^2288,648
(C6×C12).242C22 = C3×Dic34D4φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).242C2^2288,652
(C6×C12).243C22 = C3×C23.9D6φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).243C2^2288,654
(C6×C12).244C22 = C3×C23.11D6φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).244C2^2288,656
(C6×C12).245C22 = C3×Dic6⋊C4φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).245C2^2288,658
(C6×C12).246C22 = C3×Dic3.Q8φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).246C2^2288,660
(C6×C12).247C22 = C3×S3×C4⋊C4φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).247C2^2288,662
(C6×C12).248C22 = C3×C4⋊C47S3φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).248C2^2288,663
(C6×C12).249C22 = C3×Dic35D4φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).249C2^2288,664
(C6×C12).250C22 = C62.221C23φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).250C2^2288,734
(C6×C12).251C22 = C62.225C23φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).251C2^2288,738
(C6×C12).252C22 = C62.231C23φ: C22/C1C22 ⊆ Aut C6×C12288(C6xC12).252C2^2288,744
(C6×C12).253C22 = C4⋊C4×C3⋊S3φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).253C2^2288,748
(C6×C12).254C22 = C62.236C23φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).254C2^2288,749
(C6×C12).255C22 = C62.237C23φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).255C2^2288,750
(C6×C12).256C22 = C62.238C23φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).256C2^2288,751
(C6×C12).257C22 = C2×D6.D6φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).257C2^2288,948
(C6×C12).258C22 = C32×C4.D4φ: C22/C1C22 ⊆ Aut C6×C1272(C6xC12).258C2^2288,318
(C6×C12).259C22 = C32×C4.10D4φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).259C2^2288,319
(C6×C12).260C22 = C3×D6⋊Q8φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).260C2^2288,667
(C6×C12).261C22 = C3×C4⋊C4⋊S3φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).261C2^2288,669
(C6×C12).262C22 = C3×C23.23D6φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).262C2^2288,706
(C6×C12).263C22 = C3×C23.14D6φ: C22/C1C22 ⊆ Aut C6×C1248(C6xC12).263C2^2288,710
(C6×C12).264C22 = C3×Dic3⋊Q8φ: C22/C1C22 ⊆ Aut C6×C1296(C6xC12).264C2^2288,715
(C6×C12).265C22 = C62.233C23φ: C22/C1C22 ⊆ Aut C6×C12288(C6xC12).265C2^2288,746
(C6×C12).266C22 = C62.72D4φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).266C2^2288,792
(C6×C12).267C22 = C6214D4φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).267C2^2288,796
(C6×C12).268C22 = C62.259C23φ: C22/C1C22 ⊆ Aut C6×C12288(C6xC12).268C2^2288,801
(C6×C12).269C22 = C62.261C23φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).269C2^2288,803
(C6×C12).270C22 = C32×C22.D4φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).270C2^2288,820
(C6×C12).271C22 = C32×C4.4D4φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).271C2^2288,821
(C6×C12).272C22 = C32×C42.C2φ: C22/C1C22 ⊆ Aut C6×C12288(C6xC12).272C2^2288,822
(C6×C12).273C22 = C32×C422C2φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).273C2^2288,823
(C6×C12).274C22 = C32×C4⋊Q8φ: C22/C1C22 ⊆ Aut C6×C12288(C6xC12).274C2^2288,825
(C6×C12).275C22 = C32×C8⋊C22φ: C22/C1C22 ⊆ Aut C6×C1272(C6xC12).275C2^2288,833
(C6×C12).276C22 = C32×C8.C22φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).276C2^2288,834
(C6×C12).277C22 = C32×2- 1+4φ: C22/C1C22 ⊆ Aut C6×C12144(C6xC12).277C2^2288,1023
(C6×C12).278C22 = C12×Dic6φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).278C2^2288,639
(C6×C12).279C22 = C3×C12.6Q8φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).279C2^2288,641
(C6×C12).280C22 = C3×C427S3φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).280C2^2288,646
(C6×C12).281C22 = C3×C423S3φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).281C2^2288,647
(C6×C12).282C22 = C6×Dic3⋊C4φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).282C2^2288,694
(C6×C12).283C22 = C3×C23.28D6φ: C22/C2C2 ⊆ Aut C6×C1248(C6xC12).283C2^2288,700
(C6×C12).284C22 = C3×C127D4φ: C22/C2C2 ⊆ Aut C6×C1248(C6xC12).284C2^2288,701
(C6×C12).285C22 = C12216C2φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).285C2^2288,729
(C6×C12).286C22 = C4×C12⋊S3φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).286C2^2288,730
(C6×C12).287C22 = C1226C2φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).287C2^2288,732
(C6×C12).288C22 = C1222C2φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).288C2^2288,733
(C6×C12).289C22 = C2×C6.Dic6φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).289C2^2288,780
(C6×C12).290C22 = C62.129D4φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).290C2^2288,786
(C6×C12).291C22 = C6219D4φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).291C2^2288,787
(C6×C12).292C22 = C32×C42⋊C2φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).292C2^2288,814
(C6×C12).293C22 = C6.4Dic12φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).293C2^2288,291
(C6×C12).294C22 = C242Dic3φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).294C2^2288,292
(C6×C12).295C22 = C241Dic3φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).295C2^2288,293
(C6×C12).296C22 = C62.84D4φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).296C2^2288,296
(C6×C12).297C22 = C126Dic6φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).297C2^2288,726
(C6×C12).298C22 = C12.25Dic6φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).298C2^2288,727
(C6×C12).299C22 = C124D12φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).299C2^2288,731
(C6×C12).300C22 = C2×C242S3φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).300C2^2288,759
(C6×C12).301C22 = C2×C325D8φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).301C2^2288,760
(C6×C12).302C22 = C2×C325Q16φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).302C2^2288,762
(C6×C12).303C22 = C6210Q8φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).303C2^2288,781
(C6×C12).304C22 = C2×C12⋊Dic3φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).304C2^2288,782
(C6×C12).305C22 = C22×C324Q8φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).305C2^2288,1003
(C6×C12).306C22 = C122⋊C2φ: C22/C2C2 ⊆ Aut C6×C1272(C6xC12).306C2^2288,280
(C6×C12).307C22 = C12.59D12φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).307C2^2288,294
(C6×C12).308C22 = C24.95D6φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).308C2^2288,758
(C6×C12).309C22 = C24.78D6φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).309C2^2288,761
(C6×C12).310C22 = C2×C12.58D6φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).310C2^2288,778
(C6×C12).311C22 = C3×C424S3φ: C22/C2C2 ⊆ Aut C6×C12242(C6xC12).311C2^2288,239
(C6×C12).312C22 = C3×C24.C4φ: C22/C2C2 ⊆ Aut C6×C12482(C6xC12).312C2^2288,253
(C6×C12).313C22 = C3×C8○D12φ: C22/C2C2 ⊆ Aut C6×C12482(C6xC12).313C2^2288,672
(C6×C12).314C22 = C3×C4○D24φ: C22/C2C2 ⊆ Aut C6×C12482(C6xC12).314C2^2288,675
(C6×C12).315C22 = C3×C2.Dic12φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).315C2^2288,250
(C6×C12).316C22 = C3×C8⋊Dic3φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).316C2^2288,251
(C6×C12).317C22 = C3×C241C4φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).317C2^2288,252
(C6×C12).318C22 = C3×C2.D24φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).318C2^2288,255
(C6×C12).319C22 = C3×C122Q8φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).319C2^2288,640
(C6×C12).320C22 = C3×C4⋊D12φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).320C2^2288,645
(C6×C12).321C22 = C6×C24⋊C2φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).321C2^2288,673
(C6×C12).322C22 = C6×D24φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).322C2^2288,674
(C6×C12).323C22 = C6×Dic12φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).323C2^2288,676
(C6×C12).324C22 = C3×C12.48D4φ: C22/C2C2 ⊆ Aut C6×C1248(C6xC12).324C2^2288,695
(C6×C12).325C22 = C6×C4⋊Dic3φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).325C2^2288,696
(C6×C12).326C22 = C3×C23.26D6φ: C22/C2C2 ⊆ Aut C6×C1248(C6xC12).326C2^2288,697
(C6×C12).327C22 = C2×C6×Dic6φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).327C2^2288,988
(C6×C12).328C22 = C12×C3⋊C8φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).328C2^2288,236
(C6×C12).329C22 = C3×C42.S3φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).329C2^2288,237
(C6×C12).330C22 = C3×C12⋊C8φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).330C2^2288,238
(C6×C12).331C22 = Dic3×C24φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).331C2^2288,247
(C6×C12).332C22 = C3×Dic3⋊C8φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).332C2^2288,248
(C6×C12).333C22 = C3×C24⋊C4φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).333C2^2288,249
(C6×C12).334C22 = C3×D6⋊C8φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).334C2^2288,254
(C6×C12).335C22 = C3×C12.55D4φ: C22/C2C2 ⊆ Aut C6×C1248(C6xC12).335C2^2288,264
(C6×C12).336C22 = C4×C324C8φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).336C2^2288,277
(C6×C12).337C22 = C122.C2φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).337C2^2288,278
(C6×C12).338C22 = C12.57D12φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).338C2^2288,279
(C6×C12).339C22 = C8×C3⋊Dic3φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).339C2^2288,288
(C6×C12).340C22 = C12.30Dic6φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).340C2^2288,289
(C6×C12).341C22 = C24⋊Dic3φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).341C2^2288,290
(C6×C12).342C22 = C12.60D12φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).342C2^2288,295
(C6×C12).343C22 = C627C8φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).343C2^2288,305
(C6×C12).344C22 = S3×C4×C12φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).344C2^2288,642
(C6×C12).345C22 = C3×C422S3φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).345C2^2288,643
(C6×C12).346C22 = C12×D12φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).346C2^2288,644
(C6×C12).347C22 = S3×C2×C24φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).347C2^2288,670
(C6×C12).348C22 = C6×C8⋊S3φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).348C2^2288,671
(C6×C12).349C22 = C2×C6×C3⋊C8φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).349C2^2288,691
(C6×C12).350C22 = C6×C4.Dic3φ: C22/C2C2 ⊆ Aut C6×C1248(C6xC12).350C2^2288,692
(C6×C12).351C22 = Dic3×C2×C12φ: C22/C2C2 ⊆ Aut C6×C1296(C6xC12).351C2^2288,693
(C6×C12).352C22 = C12×C3⋊D4φ: C22/C2C2 ⊆ Aut C6×C1248(C6xC12).352C2^2288,699
(C6×C12).353C22 = C4×C324Q8φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).353C2^2288,725
(C6×C12).354C22 = C42×C3⋊S3φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).354C2^2288,728
(C6×C12).355C22 = C2×C8×C3⋊S3φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).355C2^2288,756
(C6×C12).356C22 = C2×C24⋊S3φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).356C2^2288,757
(C6×C12).357C22 = C22×C324C8φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).357C2^2288,777
(C6×C12).358C22 = C2×C4×C3⋊Dic3φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).358C2^2288,779
(C6×C12).359C22 = C62.247C23φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).359C2^2288,783
(C6×C12).360C22 = C4×C327D4φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).360C2^2288,785
(C6×C12).361C22 = C32×D4⋊C4φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).361C2^2288,320
(C6×C12).362C22 = C32×Q8⋊C4φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).362C2^2288,321
(C6×C12).363C22 = C32×C4≀C2φ: C22/C2C2 ⊆ Aut C6×C1272(C6xC12).363C2^2288,322
(C6×C12).364C22 = C32×C4.Q8φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).364C2^2288,324
(C6×C12).365C22 = C32×C2.D8φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).365C2^2288,325
(C6×C12).366C22 = C32×C8.C4φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).366C2^2288,326
(C6×C12).367C22 = C4⋊C4×C3×C6φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).367C2^2288,813
(C6×C12).368C22 = D4×C3×C12φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).368C2^2288,815
(C6×C12).369C22 = Q8×C3×C12φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).369C2^2288,816
(C6×C12).370C22 = C32×C4⋊D4φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).370C2^2288,818
(C6×C12).371C22 = C32×C22⋊Q8φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).371C2^2288,819
(C6×C12).372C22 = C32×C41D4φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).372C2^2288,824
(C6×C12).373C22 = C32×C8○D4φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).373C2^2288,828
(C6×C12).374C22 = D8×C3×C6φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).374C2^2288,829
(C6×C12).375C22 = SD16×C3×C6φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).375C2^2288,830
(C6×C12).376C22 = Q16×C3×C6φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).376C2^2288,831
(C6×C12).377C22 = C32×C4○D8φ: C22/C2C2 ⊆ Aut C6×C12144(C6xC12).377C2^2288,832
(C6×C12).378C22 = Q8×C62φ: C22/C2C2 ⊆ Aut C6×C12288(C6xC12).378C2^2288,1020
(C6×C12).379C22 = C32×C8⋊C4central extension (φ=1)288(C6xC12).379C2^2288,315
(C6×C12).380C22 = C32×C22⋊C8central extension (φ=1)144(C6xC12).380C2^2288,316
(C6×C12).381C22 = C32×C4⋊C8central extension (φ=1)288(C6xC12).381C2^2288,323
(C6×C12).382C22 = M4(2)×C3×C6central extension (φ=1)144(C6xC12).382C2^2288,827

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