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Extensions 1→N→G→Q→1 with N=C2×C12 and Q=D6

Direct product G=N×Q with N=C2×C12 and Q=D6
dρLabelID
S3×C22×C1296S3xC2^2xC12288,989

Semidirect products G=N:Q with N=C2×C12 and Q=D6
extensionφ:Q→Aut NdρLabelID
(C2×C12)⋊1D6 = D6⋊5D12φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12):1D6288,571
(C2×C12)⋊2D6 = C62⋊12D4φ: D6/C3 → C22 ⊆ Aut C2×C1272(C2xC12):2D6288,739
(C2×C12)⋊3D6 = C2×D6⋊D6φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12):3D6288,952
(C2×C12)⋊4D6 = D12⋊23D6φ: D6/C3 → C22 ⊆ Aut C2×C12244(C2xC12):4D6288,954
(C2×C12)⋊5D6 = D12⋊24D6φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12):5D6288,955
(C2×C12)⋊6D6 = D12⋊27D6φ: D6/C3 → C22 ⊆ Aut C2×C12244+(C2xC12):6D6288,956
(C2×C12)⋊7D6 = C2×D4×C3⋊S3φ: D6/C3 → C22 ⊆ Aut C2×C1272(C2xC12):7D6288,1007
(C2×C12)⋊8D6 = C32⋊82+ 1+4φ: D6/C3 → C22 ⊆ Aut C2×C1272(C2xC12):8D6288,1009
(C2×C12)⋊9D6 = C4○D4×C3⋊S3φ: D6/C3 → C22 ⊆ Aut C2×C1272(C2xC12):9D6288,1013
(C2×C12)⋊10D6 = C62.154C23φ: D6/C3 → C22 ⊆ Aut C2×C1272(C2xC12):10D6288,1014
(C2×C12)⋊11D6 = C62.91C23φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12):11D6288,569
(C2×C12)⋊12D6 = C22⋊C4×C3⋊S3φ: D6/C3 → C22 ⊆ Aut C2×C1272(C2xC12):12D6288,737
(C2×C12)⋊13D6 = D6⋊4D12φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12):13D6288,570
(C2×C12)⋊14D6 = C3×D6⋊D4φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12):14D6288,653
(C2×C12)⋊15D6 = C3×C23⋊2D6φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12):15D6288,708
(C2×C12)⋊16D6 = C62⋊13D4φ: D6/C3 → C22 ⊆ Aut C2×C1272(C2xC12):16D6288,794
(C2×C12)⋊17D6 = C3×D4⋊6D6φ: D6/C3 → C22 ⊆ Aut C2×C12244(C2xC12):17D6288,994
(C2×C12)⋊18D6 = C3×D4○D12φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12):18D6288,999
(C2×C12)⋊19D6 = S3×D6⋊C4φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12):19D6288,568
(C2×C12)⋊20D6 = C3×S3×C22⋊C4φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12):20D6288,651
(C2×C12)⋊21D6 = C2×S3×D12φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12):21D6288,951
(C2×C12)⋊22D6 = S3×C4○D12φ: D6/S3 → C2 ⊆ Aut C2×C12484(C2xC12):22D6288,953
(C2×C12)⋊23D6 = S32×C2×C4φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12):23D6288,950
(C2×C12)⋊24D6 = S3×C6×D4φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12):24D6288,992
(C2×C12)⋊25D6 = C3×S3×C4○D4φ: D6/S3 → C2 ⊆ Aut C2×C12484(C2xC12):25D6288,998
(C2×C12)⋊26D6 = C6×D6⋊C4φ: D6/C6 → C2 ⊆ Aut C2×C1296(C2xC12):26D6288,698
(C2×C12)⋊27D6 = C2×C6.11D12φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12):27D6288,784
(C2×C12)⋊28D6 = C22×C12⋊S3φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12):28D6288,1005
(C2×C12)⋊29D6 = C2×C12.59D6φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12):29D6288,1006
(C2×C12)⋊30D6 = C22×C4×C3⋊S3φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12):30D6288,1004
(C2×C12)⋊31D6 = C2×C6×D12φ: D6/C6 → C2 ⊆ Aut C2×C1296(C2xC12):31D6288,990
(C2×C12)⋊32D6 = C6×C4○D12φ: D6/C6 → C2 ⊆ Aut C2×C1248(C2xC12):32D6288,991

Non-split extensions G=N.Q with N=C2×C12 and Q=D6
extensionφ:Q→Aut NdρLabelID
(C2×C12).1D6 = C22⋊2Dic18φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).1D6288,88
(C2×C12).2D6 = C22⋊3D36φ: D6/C3 → C22 ⊆ Aut C2×C1272(C2xC12).2D6288,92
(C2×C12).3D6 = C23.9D18φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).3D6288,93
(C2×C12).4D6 = Dic9.D4φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).4D6288,95
(C2×C12).5D6 = C22.4D36φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).5D6288,96
(C2×C12).6D6 = C36⋊Q8φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).6D6288,98
(C2×C12).7D6 = Dic9.Q8φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).7D6288,99
(C2×C12).8D6 = D18.D4φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).8D6288,104
(C2×C12).9D6 = C4⋊D36φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).9D6288,105
(C2×C12).10D6 = D18⋊2Q8φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).10D6288,107
(C2×C12).11D6 = C62.9C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).11D6288,487
(C2×C12).12D6 = C62.10C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).12D6288,488
(C2×C12).13D6 = Dic3.Dic6φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).13D6288,493
(C2×C12).14D6 = C62.17C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).14D6288,495
(C2×C12).15D6 = C62.18C23φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).15D6288,496
(C2×C12).16D6 = C62.24C23φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).16D6288,502
(C2×C12).17D6 = C62.28C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).17D6288,506
(C2×C12).18D6 = C62.31C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).18D6288,509
(C2×C12).19D6 = Dic3⋊D12φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).19D6288,534
(C2×C12).20D6 = D6⋊1Dic6φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).20D6288,535
(C2×C12).21D6 = D6.9D12φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).21D6288,539
(C2×C12).22D6 = D6⋊2Dic6φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).22D6288,541
(C2×C12).23D6 = C62.65C23φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).23D6288,543
(C2×C12).24D6 = D6⋊3Dic6φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).24D6288,544
(C2×C12).25D6 = C62.67C23φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).25D6288,545
(C2×C12).26D6 = D6⋊4Dic6φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).26D6288,547
(C2×C12).27D6 = Dic3⋊3D12φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).27D6288,558
(C2×C12).28D6 = C62.83C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).28D6288,561
(C2×C12).29D6 = C62⋊6Q8φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).29D6288,735
(C2×C12).30D6 = C62.69D4φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).30D6288,743
(C2×C12).31D6 = C12⋊2Dic6φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).31D6288,745
(C2×C12).32D6 = C62.233C23φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).32D6288,746
(C2×C12).33D6 = C62.234C23φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).33D6288,747
(C2×C12).34D6 = C12⋊3D12φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).34D6288,752
(C2×C12).35D6 = C12.31D12φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).35D6288,754
(C2×C12).36D6 = C62.242C23φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).36D6288,755
(C2×C12).37D6 = C36.Q8φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).37D6288,14
(C2×C12).38D6 = C4.Dic18φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).38D6288,15
(C2×C12).39D6 = C18.Q16φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).39D6288,16
(C2×C12).40D6 = C18.D8φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).40D6288,17
(C2×C12).41D6 = C36.53D4φ: D6/C3 → C22 ⊆ Aut C2×C121444(C2xC12).41D6288,29
(C2×C12).42D6 = C4.D36φ: D6/C3 → C22 ⊆ Aut C2×C121444-(C2xC12).42D6288,30
(C2×C12).43D6 = C36.48D4φ: D6/C3 → C22 ⊆ Aut C2×C12724+(C2xC12).43D6288,31
(C2×C12).44D6 = Dic18⋊C4φ: D6/C3 → C22 ⊆ Aut C2×C12724(C2xC12).44D6288,32
(C2×C12).45D6 = C36.D4φ: D6/C3 → C22 ⊆ Aut C2×C12724(C2xC12).45D6288,39
(C2×C12).46D6 = D4⋊Dic9φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).46D6288,40
(C2×C12).47D6 = C36.9D4φ: D6/C3 → C22 ⊆ Aut C2×C121444(C2xC12).47D6288,42
(C2×C12).48D6 = Q8⋊2Dic9φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).48D6288,43
(C2×C12).49D6 = Q8⋊3Dic9φ: D6/C3 → C22 ⊆ Aut C2×C12724(C2xC12).49D6288,44
(C2×C12).50D6 = C36.3Q8φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).50D6288,100
(C2×C12).51D6 = M4(2)×D9φ: D6/C3 → C22 ⊆ Aut C2×C12724(C2xC12).51D6288,116
(C2×C12).52D6 = D36.C4φ: D6/C3 → C22 ⊆ Aut C2×C121444(C2xC12).52D6288,117
(C2×C12).53D6 = C8⋊D18φ: D6/C3 → C22 ⊆ Aut C2×C12724+(C2xC12).53D6288,118
(C2×C12).54D6 = C8.D18φ: D6/C3 → C22 ⊆ Aut C2×C121444-(C2xC12).54D6288,119
(C2×C12).55D6 = C2×D4.D9φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).55D6288,141
(C2×C12).56D6 = C2×D4⋊D9φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).56D6288,142
(C2×C12).57D6 = D36⋊6C22φ: D6/C3 → C22 ⊆ Aut C2×C12724(C2xC12).57D6288,143
(C2×C12).58D6 = D4×Dic9φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).58D6288,144
(C2×C12).59D6 = C36.17D4φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).59D6288,146
(C2×C12).60D6 = C36⋊2D4φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).60D6288,148
(C2×C12).61D6 = C36⋊D4φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).61D6288,150
(C2×C12).62D6 = C2×C9⋊Q16φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).62D6288,151
(C2×C12).63D6 = C2×Q8⋊2D9φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).63D6288,152
(C2×C12).64D6 = C36.C23φ: D6/C3 → C22 ⊆ Aut C2×C121444(C2xC12).64D6288,153
(C2×C12).65D6 = Q8×Dic9φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).65D6288,155
(C2×C12).66D6 = C36.23D4φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).66D6288,157
(C2×C12).67D6 = D4.Dic9φ: D6/C3 → C22 ⊆ Aut C2×C121444(C2xC12).67D6288,158
(C2×C12).68D6 = D4.D18φ: D6/C3 → C22 ⊆ Aut C2×C121444-(C2xC12).68D6288,159
(C2×C12).69D6 = D4⋊D18φ: D6/C3 → C22 ⊆ Aut C2×C12724+(C2xC12).69D6288,160
(C2×C12).70D6 = D4.9D18φ: D6/C3 → C22 ⊆ Aut C2×C121444(C2xC12).70D6288,161
(C2×C12).71D6 = C12.D12φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).71D6288,206
(C2×C12).72D6 = C12.70D12φ: D6/C3 → C22 ⊆ Aut C2×C12244+(C2xC12).72D6288,207
(C2×C12).73D6 = C12.14D12φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).73D6288,208
(C2×C12).74D6 = C12.71D12φ: D6/C3 → C22 ⊆ Aut C2×C12484-(C2xC12).74D6288,209
(C2×C12).75D6 = D12⋊3Dic3φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).75D6288,210
(C2×C12).76D6 = C6.16D24φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).76D6288,211
(C2×C12).77D6 = C6.17D24φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).77D6288,212
(C2×C12).78D6 = Dic6⋊Dic3φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).78D6288,213
(C2×C12).79D6 = D12⋊4Dic3φ: D6/C3 → C22 ⊆ Aut C2×C12244(C2xC12).79D6288,216
(C2×C12).80D6 = C12.Dic6φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).80D6288,221
(C2×C12).81D6 = C12.6Dic6φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).81D6288,222
(C2×C12).82D6 = C6.18D24φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).82D6288,223
(C2×C12).83D6 = C12.8Dic6φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).83D6288,224
(C2×C12).84D6 = C62.5Q8φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).84D6288,226
(C2×C12).85D6 = C12.9Dic6φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).85D6288,282
(C2×C12).86D6 = C12.10Dic6φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).86D6288,283
(C2×C12).87D6 = C62.113D4φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).87D6288,284
(C2×C12).88D6 = C62.114D4φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).88D6288,285
(C2×C12).89D6 = C62.8Q8φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).89D6288,297
(C2×C12).90D6 = C12.19D12φ: D6/C3 → C22 ⊆ Aut C2×C1272(C2xC12).90D6288,298
(C2×C12).91D6 = C12.20D12φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).91D6288,299
(C2×C12).92D6 = C62.37D4φ: D6/C3 → C22 ⊆ Aut C2×C1272(C2xC12).92D6288,300
(C2×C12).93D6 = C62.116D4φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).93D6288,307
(C2×C12).94D6 = (C6×D4).S3φ: D6/C3 → C22 ⊆ Aut C2×C1272(C2xC12).94D6288,308
(C2×C12).95D6 = C62.117D4φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).95D6288,310
(C2×C12).96D6 = (C6×C12).C4φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).96D6288,311
(C2×C12).97D6 = C62.39D4φ: D6/C3 → C22 ⊆ Aut C2×C1272(C2xC12).97D6288,312
(C2×C12).98D6 = C2×D4×D9φ: D6/C3 → C22 ⊆ Aut C2×C1272(C2xC12).98D6288,356
(C2×C12).99D6 = C2×D4⋊2D9φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).99D6288,357
(C2×C12).100D6 = D4⋊6D18φ: D6/C3 → C22 ⊆ Aut C2×C12724(C2xC12).100D6288,358
(C2×C12).101D6 = C2×Q8×D9φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).101D6288,359
(C2×C12).102D6 = C2×Q8⋊3D9φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).102D6288,360
(C2×C12).103D6 = Q8.15D18φ: D6/C3 → C22 ⊆ Aut C2×C121444(C2xC12).103D6288,361
(C2×C12).104D6 = C4○D4×D9φ: D6/C3 → C22 ⊆ Aut C2×C12724(C2xC12).104D6288,362
(C2×C12).105D6 = D4⋊8D18φ: D6/C3 → C22 ⊆ Aut C2×C12724+(C2xC12).105D6288,363
(C2×C12).106D6 = D4.10D18φ: D6/C3 → C22 ⊆ Aut C2×C121444-(C2xC12).106D6288,364
(C2×C12).107D6 = D12.2Dic3φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).107D6288,462
(C2×C12).108D6 = D12.Dic3φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).108D6288,463
(C2×C12).109D6 = C3⋊C8⋊20D6φ: D6/C3 → C22 ⊆ Aut C2×C12244(C2xC12).109D6288,466
(C2×C12).110D6 = C2×C32⋊2D8φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).110D6288,469
(C2×C12).111D6 = D12.30D6φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).111D6288,470
(C2×C12).112D6 = D12⋊20D6φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).112D6288,471
(C2×C12).113D6 = C2×C3⋊D24φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).113D6288,472
(C2×C12).114D6 = D12⋊18D6φ: D6/C3 → C22 ⊆ Aut C2×C12244+(C2xC12).114D6288,473
(C2×C12).115D6 = C2×Dic6⋊S3φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).115D6288,474
(C2×C12).116D6 = D12.32D6φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).116D6288,475
(C2×C12).117D6 = C2×D12.S3φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).117D6288,476
(C2×C12).118D6 = D12.27D6φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).118D6288,477
(C2×C12).119D6 = D12.28D6φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).119D6288,478
(C2×C12).120D6 = D12.29D6φ: D6/C3 → C22 ⊆ Aut C2×C12484-(C2xC12).120D6288,479
(C2×C12).121D6 = C2×C32⋊5SD16φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).121D6288,480
(C2×C12).122D6 = Dic6.29D6φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).122D6288,481
(C2×C12).123D6 = C2×C32⋊2Q16φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).123D6288,482
(C2×C12).124D6 = C2×C32⋊3Q16φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).124D6288,483
(C2×C12).125D6 = C62.11C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).125D6288,489
(C2×C12).126D6 = Dic3×Dic6φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).126D6288,490
(C2×C12).127D6 = C62.13C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).127D6288,491
(C2×C12).128D6 = Dic3⋊6Dic6φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).128D6288,492
(C2×C12).129D6 = C62.19C23φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).129D6288,497
(C2×C12).130D6 = C12.27D12φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).130D6288,508
(C2×C12).131D6 = C62.33C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).131D6288,511
(C2×C12).132D6 = C62.39C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).132D6288,517
(C2×C12).133D6 = C12.30D12φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).133D6288,519
(C2×C12).134D6 = C62.42C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).134D6288,520
(C2×C12).135D6 = C62.43C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).135D6288,521
(C2×C12).136D6 = Dic3×D12φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).136D6288,540
(C2×C12).137D6 = D12⋊Dic3φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).137D6288,546
(C2×C12).138D6 = C62.70C23φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).138D6288,548
(C2×C12).139D6 = C12⋊7D12φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).139D6288,557
(C2×C12).140D6 = C12⋊D12φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).140D6288,559
(C2×C12).141D6 = C62.84C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).141D6288,562
(C2×C12).142D6 = C12⋊2D12φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).142D6288,564
(C2×C12).143D6 = C12⋊Dic6φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).143D6288,567
(C2×C12).144D6 = C62.236C23φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).144D6288,749
(C2×C12).145D6 = M4(2)×C3⋊S3φ: D6/C3 → C22 ⊆ Aut C2×C1272(C2xC12).145D6288,763
(C2×C12).146D6 = C24.47D6φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).146D6288,764
(C2×C12).147D6 = C24⋊3D6φ: D6/C3 → C22 ⊆ Aut C2×C1272(C2xC12).147D6288,765
(C2×C12).148D6 = C24.5D6φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).148D6288,766
(C2×C12).149D6 = C2×C32⋊7D8φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).149D6288,788
(C2×C12).150D6 = C62.131D4φ: D6/C3 → C22 ⊆ Aut C2×C1272(C2xC12).150D6288,789
(C2×C12).151D6 = C2×C32⋊9SD16φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).151D6288,790
(C2×C12).152D6 = D4×C3⋊Dic3φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).152D6288,791
(C2×C12).153D6 = C62.254C23φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).153D6288,793
(C2×C12).154D6 = C62.256C23φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).154D6288,795
(C2×C12).155D6 = C62.258C23φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).155D6288,797
(C2×C12).156D6 = C2×C32⋊11SD16φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).156D6288,798
(C2×C12).157D6 = C62.134D4φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).157D6288,799
(C2×C12).158D6 = C2×C32⋊7Q16φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).158D6288,800
(C2×C12).159D6 = Q8×C3⋊Dic3φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).159D6288,802
(C2×C12).160D6 = D4.(C3⋊Dic3)φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).160D6288,805
(C2×C12).161D6 = C62.73D4φ: D6/C3 → C22 ⊆ Aut C2×C1272(C2xC12).161D6288,806
(C2×C12).162D6 = C62.74D4φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).162D6288,807
(C2×C12).163D6 = C62.75D4φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).163D6288,808
(C2×C12).164D6 = C2×D12⋊5S3φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).164D6288,943
(C2×C12).165D6 = C2×D12⋊S3φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).165D6288,944
(C2×C12).166D6 = D12.33D6φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).166D6288,945
(C2×C12).167D6 = D12.34D6φ: D6/C3 → C22 ⊆ Aut C2×C12484-(C2xC12).167D6288,946
(C2×C12).168D6 = C2×Dic3.D6φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).168D6288,947
(C2×C12).169D6 = C2×C12.D6φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).169D6288,1008
(C2×C12).170D6 = C2×Q8×C3⋊S3φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).170D6288,1010
(C2×C12).171D6 = C2×C12.26D6φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).171D6288,1011
(C2×C12).172D6 = C32⋊72- 1+4φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).172D6288,1012
(C2×C12).173D6 = C32⋊92- 1+4φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).173D6288,1015
(C2×C12).174D6 = C23.16D18φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).174D6288,87
(C2×C12).175D6 = C23.8D18φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).175D6288,89
(C2×C12).176D6 = C22⋊C4×D9φ: D6/C3 → C22 ⊆ Aut C2×C1272(C2xC12).176D6288,90
(C2×C12).177D6 = Dic9⋊4D4φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).177D6288,91
(C2×C12).178D6 = D18⋊D4φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).178D6288,94
(C2×C12).179D6 = Dic9⋊3Q8φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).179D6288,97
(C2×C12).180D6 = C4⋊C4×D9φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).180D6288,101
(C2×C12).181D6 = C4⋊C4⋊7D9φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).181D6288,102
(C2×C12).182D6 = D36⋊C4φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).182D6288,103
(C2×C12).183D6 = C4⋊C4⋊D9φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).183D6288,108
(C2×C12).184D6 = C62.6C23φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).184D6288,484
(C2×C12).185D6 = Dic3⋊5Dic6φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).185D6288,485
(C2×C12).186D6 = C62.8C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).186D6288,486
(C2×C12).187D6 = Dic3.D12φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).187D6288,500
(C2×C12).188D6 = C62.23C23φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).188D6288,501
(C2×C12).189D6 = C62.29C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).189D6288,507
(C2×C12).190D6 = C62.32C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).190D6288,510
(C2×C12).191D6 = C62.35C23φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).191D6288,513
(C2×C12).192D6 = C62.37C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).192D6288,515
(C2×C12).193D6 = C62.40C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).193D6288,518
(C2×C12).194D6 = C62.47C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).194D6288,525
(C2×C12).195D6 = C62.48C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).195D6288,526
(C2×C12).196D6 = C62.49C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).196D6288,527
(C2×C12).197D6 = Dic3⋊4D12φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).197D6288,528
(C2×C12).198D6 = C62.51C23φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).198D6288,529
(C2×C12).199D6 = C62.53C23φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).199D6288,531
(C2×C12).200D6 = C62.72C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).200D6288,550
(C2×C12).201D6 = C62.75C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).201D6288,553
(C2×C12).202D6 = C62.82C23φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).202D6288,560
(C2×C12).203D6 = C62.85C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).203D6288,563
(C2×C12).204D6 = C62.221C23φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).204D6288,734
(C2×C12).205D6 = C62.223C23φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).205D6288,736
(C2×C12).206D6 = C62.225C23φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).206D6288,738
(C2×C12).207D6 = C62.227C23φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).207D6288,740
(C2×C12).208D6 = C62.228C23φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).208D6288,741
(C2×C12).209D6 = C62.229C23φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).209D6288,742
(C2×C12).210D6 = C62.231C23φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).210D6288,744
(C2×C12).211D6 = C4⋊C4×C3⋊S3φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).211D6288,748
(C2×C12).212D6 = C62.237C23φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).212D6288,750
(C2×C12).213D6 = C62.238C23φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).213D6288,751
(C2×C12).214D6 = D18⋊Q8φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).214D6288,106
(C2×C12).215D6 = C23.23D18φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).215D6288,145
(C2×C12).216D6 = C23⋊2D18φ: D6/C3 → C22 ⊆ Aut C2×C1272(C2xC12).216D6288,147
(C2×C12).217D6 = Dic9⋊D4φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).217D6288,149
(C2×C12).218D6 = Dic9⋊Q8φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).218D6288,154
(C2×C12).219D6 = D18⋊3Q8φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).219D6288,156
(C2×C12).220D6 = C3×C12.46D4φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).220D6288,257
(C2×C12).221D6 = C3×C12.47D4φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).221D6288,258
(C2×C12).222D6 = C3×C12.D4φ: D6/C3 → C22 ⊆ Aut C2×C12244(C2xC12).222D6288,267
(C2×C12).223D6 = C3×C12.10D4φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).223D6288,270
(C2×C12).224D6 = C62.16C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).224D6288,494
(C2×C12).225D6 = C62.54C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).225D6288,532
(C2×C12).226D6 = C62.55C23φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).226D6288,533
(C2×C12).227D6 = C62.58C23φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).227D6288,536
(C2×C12).228D6 = D6.D12φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).228D6288,538
(C2×C12).229D6 = C62.77C23φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).229D6288,555
(C2×C12).230D6 = C3×Dic3.D4φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).230D6288,649
(C2×C12).231D6 = C3×C23.9D6φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).231D6288,654
(C2×C12).232D6 = C3×C23.21D6φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).232D6288,657
(C2×C12).233D6 = C3×C12⋊Q8φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).233D6288,659
(C2×C12).234D6 = C3×Dic3.Q8φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).234D6288,660
(C2×C12).235D6 = C3×C4.Dic6φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).235D6288,661
(C2×C12).236D6 = C3×C4.D12φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).236D6288,668
(C2×C12).237D6 = C3×C4⋊C4⋊S3φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).237D6288,669
(C2×C12).238D6 = C3×C8⋊D6φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).238D6288,679
(C2×C12).239D6 = C3×C8.D6φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).239D6288,680
(C2×C12).240D6 = C3×D12⋊6C22φ: D6/C3 → C22 ⊆ Aut C2×C12244(C2xC12).240D6288,703
(C2×C12).241D6 = C3×C23.23D6φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).241D6288,706
(C2×C12).242D6 = C3×C23.14D6φ: D6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).242D6288,710
(C2×C12).243D6 = C3×Q8.11D6φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).243D6288,713
(C2×C12).244D6 = C3×Dic3⋊Q8φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).244D6288,715
(C2×C12).245D6 = C3×D6⋊3Q8φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).245D6288,717
(C2×C12).246D6 = C3×C12.23D4φ: D6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).246D6288,718
(C2×C12).247D6 = C3×D4⋊D6φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).247D6288,720
(C2×C12).248D6 = C3×Q8.14D6φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).248D6288,722
(C2×C12).249D6 = C62.240C23φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).249D6288,753
(C2×C12).250D6 = C62.72D4φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).250D6288,792
(C2×C12).251D6 = C62⋊14D4φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).251D6288,796
(C2×C12).252D6 = C62.259C23φ: D6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).252D6288,801
(C2×C12).253D6 = C62.261C23φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).253D6288,803
(C2×C12).254D6 = C62.262C23φ: D6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).254D6288,804
(C2×C12).255D6 = C3×Q8.15D6φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).255D6288,997
(C2×C12).256D6 = C3×Q8○D12φ: D6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).256D6288,1000
(C2×C12).257D6 = C62.20C23φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).257D6288,498
(C2×C12).258D6 = D6⋊Dic6φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).258D6288,499
(C2×C12).259D6 = C62.38C23φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).259D6288,516
(C2×C12).260D6 = S3×Dic3⋊C4φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).260D6288,524
(C2×C12).261D6 = C62.74C23φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).261D6288,552
(C2×C12).262D6 = D6⋊D12φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).262D6288,554
(C2×C12).263D6 = C3×C23.16D6φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).263D6288,648
(C2×C12).264D6 = C3×C23.8D6φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).264D6288,650
(C2×C12).265D6 = C3×Dic3⋊4D4φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).265D6288,652
(C2×C12).266D6 = C3×Dic3⋊D4φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).266D6288,655
(C2×C12).267D6 = C3×C23.11D6φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).267D6288,656
(C2×C12).268D6 = C3×Dic6⋊C4φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).268D6288,658
(C2×C12).269D6 = C3×S3×C4⋊C4φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).269D6288,662
(C2×C12).270D6 = C3×C4⋊C4⋊7S3φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).270D6288,663
(C2×C12).271D6 = C3×Dic3⋊5D4φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).271D6288,664
(C2×C12).272D6 = C3×D6.D4φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).272D6288,665
(C2×C12).273D6 = C3×D6⋊Q8φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).273D6288,667
(C2×C12).274D6 = C6.Dic12φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).274D6288,214
(C2×C12).275D6 = C12.73D12φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).275D6288,215
(C2×C12).276D6 = D6⋊6Dic6φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).276D6288,504
(C2×C12).277D6 = D6⋊7Dic6φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).277D6288,505
(C2×C12).278D6 = C12.28D12φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).278D6288,512
(C2×C12).279D6 = Dic3⋊Dic6φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).279D6288,514
(C2×C12).280D6 = S3×C4⋊Dic3φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).280D6288,537
(C2×C12).281D6 = Dic3⋊5D12φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).281D6288,542
(C2×C12).282D6 = D6⋊2D12φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).282D6288,556
(C2×C12).283D6 = C12⋊3Dic6φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).283D6288,566
(C2×C12).284D6 = C2×S3×Dic6φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).284D6288,942
(C2×C12).285D6 = C2×D6.6D6φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).285D6288,949
(C2×C12).286D6 = D12⋊2Dic3φ: D6/S3 → C2 ⊆ Aut C2×C12484(C2xC12).286D6288,217
(C2×C12).287D6 = C12.80D12φ: D6/S3 → C2 ⊆ Aut C2×C12484(C2xC12).287D6288,218
(C2×C12).288D6 = C12.82D12φ: D6/S3 → C2 ⊆ Aut C2×C12484(C2xC12).288D6288,225
(C2×C12).289D6 = S3×C4.Dic3φ: D6/S3 → C2 ⊆ Aut C2×C12484(C2xC12).289D6288,461
(C2×C12).290D6 = C3⋊C8.22D6φ: D6/S3 → C2 ⊆ Aut C2×C12484(C2xC12).290D6288,465
(C2×C12).291D6 = Dic3×C3⋊C8φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).291D6288,200
(C2×C12).292D6 = C6.(S3×C8)φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).292D6288,201
(C2×C12).293D6 = C3⋊C8⋊Dic3φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).293D6288,202
(C2×C12).294D6 = C2.Dic32φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).294D6288,203
(C2×C12).295D6 = C12.77D12φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).295D6288,204
(C2×C12).296D6 = C12.78D12φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).296D6288,205
(C2×C12).297D6 = C12.81D12φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).297D6288,219
(C2×C12).298D6 = C12.15Dic6φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).298D6288,220
(C2×C12).299D6 = C2×S3×C3⋊C8φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).299D6288,460
(C2×C12).300D6 = C2×C12.29D6φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).300D6288,464
(C2×C12).301D6 = C2×D6.Dic3φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).301D6288,467
(C2×C12).302D6 = C2×C12.31D6φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).302D6288,468
(C2×C12).303D6 = C62.25C23φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).303D6288,503
(C2×C12).304D6 = C62.44C23φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).304D6288,522
(C2×C12).305D6 = C4×S3×Dic3φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).305D6288,523
(C2×C12).306D6 = C4×C6.D6φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).306D6288,530
(C2×C12).307D6 = C4×D6⋊S3φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).307D6288,549
(C2×C12).308D6 = C4×C3⋊D12φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).308D6288,551
(C2×C12).309D6 = C4×C32⋊2Q8φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).309D6288,565
(C2×C12).310D6 = C2×D6.D6φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).310D6288,948
(C2×C12).311D6 = C3×C6.Q16φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).311D6288,241
(C2×C12).312D6 = C3×C12.Q8φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).312D6288,242
(C2×C12).313D6 = C3×C6.D8φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).313D6288,243
(C2×C12).314D6 = C3×C6.SD16φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).314D6288,244
(C2×C12).315D6 = C3×C12.53D4φ: D6/S3 → C2 ⊆ Aut C2×C12484(C2xC12).315D6288,256
(C2×C12).316D6 = C3×D12⋊C4φ: D6/S3 → C2 ⊆ Aut C2×C12484(C2xC12).316D6288,259
(C2×C12).317D6 = C3×D4⋊Dic3φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).317D6288,266
(C2×C12).318D6 = C3×Q8⋊2Dic3φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).318D6288,269
(C2×C12).319D6 = C3×Q8⋊3Dic3φ: D6/S3 → C2 ⊆ Aut C2×C12484(C2xC12).319D6288,271
(C2×C12).320D6 = C3×C12⋊D4φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).320D6288,666
(C2×C12).321D6 = C3×S3×M4(2)φ: D6/S3 → C2 ⊆ Aut C2×C12484(C2xC12).321D6288,677
(C2×C12).322D6 = C3×D12.C4φ: D6/S3 → C2 ⊆ Aut C2×C12484(C2xC12).322D6288,678
(C2×C12).323D6 = C6×D4⋊S3φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).323D6288,702
(C2×C12).324D6 = C6×D4.S3φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).324D6288,704
(C2×C12).325D6 = C3×D4×Dic3φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).325D6288,705
(C2×C12).326D6 = C3×C23.12D6φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).326D6288,707
(C2×C12).327D6 = C3×D6⋊3D4φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).327D6288,709
(C2×C12).328D6 = C3×C12⋊3D4φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).328D6288,711
(C2×C12).329D6 = C6×Q8⋊2S3φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).329D6288,712
(C2×C12).330D6 = C6×C3⋊Q16φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).330D6288,714
(C2×C12).331D6 = C3×Q8×Dic3φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).331D6288,716
(C2×C12).332D6 = C3×D4.Dic3φ: D6/S3 → C2 ⊆ Aut C2×C12484(C2xC12).332D6288,719
(C2×C12).333D6 = C3×Q8.13D6φ: D6/S3 → C2 ⊆ Aut C2×C12484(C2xC12).333D6288,721
(C2×C12).334D6 = C6×D4⋊2S3φ: D6/S3 → C2 ⊆ Aut C2×C1248(C2xC12).334D6288,993
(C2×C12).335D6 = S3×C6×Q8φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).335D6288,995
(C2×C12).336D6 = C6×Q8⋊3S3φ: D6/S3 → C2 ⊆ Aut C2×C1296(C2xC12).336D6288,996
(C2×C12).337D6 = C36.6Q8φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).337D6288,80
(C2×C12).338D6 = C42⋊2D9φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).338D6288,82
(C2×C12).339D6 = C42⋊7D9φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).339D6288,85
(C2×C12).340D6 = C42⋊3D9φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).340D6288,86
(C2×C12).341D6 = C2×Dic9⋊C4φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).341D6288,133
(C2×C12).342D6 = C36.49D4φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).342D6288,134
(C2×C12).343D6 = C2×D18⋊C4φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).343D6288,137
(C2×C12).344D6 = C4×C9⋊D4φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).344D6288,138
(C2×C12).345D6 = C23.28D18φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).345D6288,139
(C2×C12).346D6 = C36⋊7D4φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).346D6288,140
(C2×C12).347D6 = C3×C42⋊2S3φ: D6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).347D6288,643
(C2×C12).348D6 = C3×C42⋊7S3φ: D6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).348D6288,646
(C2×C12).349D6 = C3×C42⋊3S3φ: D6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).349D6288,647
(C2×C12).350D6 = C6×Dic3⋊C4φ: D6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).350D6288,694
(C2×C12).351D6 = C3×C12.48D4φ: D6/C6 → C2 ⊆ Aut C2×C1248(C2xC12).351D6288,695
(C2×C12).352D6 = C12×C3⋊D4φ: D6/C6 → C2 ⊆ Aut C2×C1248(C2xC12).352D6288,699
(C2×C12).353D6 = C3×C23.28D6φ: D6/C6 → C2 ⊆ Aut C2×C1248(C2xC12).353D6288,700
(C2×C12).354D6 = C4×C32⋊4Q8φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).354D6288,725
(C2×C12).355D6 = C12.25Dic6φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).355D6288,727
(C2×C12).356D6 = C4×C12⋊S3φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).356D6288,730
(C2×C12).357D6 = C122⋊6C2φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).357D6288,732
(C2×C12).358D6 = C122⋊2C2φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).358D6288,733
(C2×C12).359D6 = C2×C6.Dic6φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).359D6288,780
(C2×C12).360D6 = C4×C32⋊7D4φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).360D6288,785
(C2×C12).361D6 = C62.129D4φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).361D6288,786
(C2×C12).362D6 = C36.45D4φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).362D6288,24
(C2×C12).363D6 = C8⋊Dic9φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).363D6288,25
(C2×C12).364D6 = C72⋊1C4φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).364D6288,26
(C2×C12).365D6 = C2.D72φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).365D6288,28
(C2×C12).366D6 = C4×Dic18φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).366D6288,78
(C2×C12).367D6 = C36⋊2Q8φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).367D6288,79
(C2×C12).368D6 = C4×D36φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).368D6288,83
(C2×C12).369D6 = C42⋊6D9φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).369D6288,84
(C2×C12).370D6 = C2×Dic36φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).370D6288,109
(C2×C12).371D6 = C2×C72⋊C2φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).371D6288,113
(C2×C12).372D6 = C2×D72φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).372D6288,114
(C2×C12).373D6 = C2×C4⋊Dic9φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).373D6288,135
(C2×C12).374D6 = C23.26D18φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).374D6288,136
(C2×C12).375D6 = C6.4Dic12φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).375D6288,291
(C2×C12).376D6 = C24⋊2Dic3φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).376D6288,292
(C2×C12).377D6 = C24⋊1Dic3φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).377D6288,293
(C2×C12).378D6 = C62.84D4φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).378D6288,296
(C2×C12).379D6 = C22×Dic18φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).379D6288,352
(C2×C12).380D6 = C22×D36φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).380D6288,354
(C2×C12).381D6 = C2×D36⋊5C2φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).381D6288,355
(C2×C12).382D6 = C12⋊6Dic6φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).382D6288,726
(C2×C12).383D6 = C12⋊4D12φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).383D6288,731
(C2×C12).384D6 = C2×C24⋊2S3φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).384D6288,759
(C2×C12).385D6 = C2×C32⋊5D8φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).385D6288,760
(C2×C12).386D6 = C2×C32⋊5Q16φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).386D6288,762
(C2×C12).387D6 = C62⋊10Q8φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).387D6288,781
(C2×C12).388D6 = C2×C12⋊Dic3φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).388D6288,782
(C2×C12).389D6 = C62⋊19D4φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).389D6288,787
(C2×C12).390D6 = C22×C32⋊4Q8φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).390D6288,1003
(C2×C12).391D6 = C42⋊4D9φ: D6/C6 → C2 ⊆ Aut C2×C12722(C2xC12).391D6288,12
(C2×C12).392D6 = C72.C4φ: D6/C6 → C2 ⊆ Aut C2×C121442(C2xC12).392D6288,20
(C2×C12).393D6 = D36.2C4φ: D6/C6 → C2 ⊆ Aut C2×C121442(C2xC12).393D6288,112
(C2×C12).394D6 = D72⋊7C2φ: D6/C6 → C2 ⊆ Aut C2×C121442(C2xC12).394D6288,115
(C2×C12).395D6 = C2×C4.Dic9φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).395D6288,131
(C2×C12).396D6 = C122⋊C2φ: D6/C6 → C2 ⊆ Aut C2×C1272(C2xC12).396D6288,280
(C2×C12).397D6 = C12.59D12φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).397D6288,294
(C2×C12).398D6 = C24.95D6φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).398D6288,758
(C2×C12).399D6 = C24.78D6φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).399D6288,761
(C2×C12).400D6 = C2×C12.58D6φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).400D6288,778
(C2×C12).401D6 = C4×C9⋊C8φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).401D6288,9
(C2×C12).402D6 = C42.D9φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).402D6288,10
(C2×C12).403D6 = C36⋊C8φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).403D6288,11
(C2×C12).404D6 = C8×Dic9φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).404D6288,21
(C2×C12).405D6 = Dic9⋊C8φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).405D6288,22
(C2×C12).406D6 = C72⋊C4φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).406D6288,23
(C2×C12).407D6 = D18⋊C8φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).407D6288,27
(C2×C12).408D6 = C36.55D4φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).408D6288,37
(C2×C12).409D6 = C42×D9φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).409D6288,81
(C2×C12).410D6 = C2×C8×D9φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).410D6288,110
(C2×C12).411D6 = C2×C8⋊D9φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).411D6288,111
(C2×C12).412D6 = C22×C9⋊C8φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).412D6288,130
(C2×C12).413D6 = C2×C4×Dic9φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).413D6288,132
(C2×C12).414D6 = C4×C32⋊4C8φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).414D6288,277
(C2×C12).415D6 = C122.C2φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).415D6288,278
(C2×C12).416D6 = C12.57D12φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).416D6288,279
(C2×C12).417D6 = C8×C3⋊Dic3φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).417D6288,288
(C2×C12).418D6 = C12.30Dic6φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).418D6288,289
(C2×C12).419D6 = C24⋊Dic3φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).419D6288,290
(C2×C12).420D6 = C12.60D12φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).420D6288,295
(C2×C12).421D6 = C62⋊7C8φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).421D6288,305
(C2×C12).422D6 = C22×C4×D9φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).422D6288,353
(C2×C12).423D6 = C42×C3⋊S3φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).423D6288,728
(C2×C12).424D6 = C122⋊16C2φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).424D6288,729
(C2×C12).425D6 = C2×C8×C3⋊S3φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).425D6288,756
(C2×C12).426D6 = C2×C24⋊S3φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).426D6288,757
(C2×C12).427D6 = C22×C32⋊4C8φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).427D6288,777
(C2×C12).428D6 = C2×C4×C3⋊Dic3φ: D6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).428D6288,779
(C2×C12).429D6 = C62.247C23φ: D6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).429D6288,783
(C2×C12).430D6 = C3×C42⋊4S3φ: D6/C6 → C2 ⊆ Aut C2×C12242(C2xC12).430D6288,239
(C2×C12).431D6 = C3×C2.Dic12φ: D6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).431D6288,250
(C2×C12).432D6 = C3×C8⋊Dic3φ: D6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).432D6288,251
(C2×C12).433D6 = C3×C24⋊1C4φ: D6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).433D6288,252
(C2×C12).434D6 = C3×C24.C4φ: D6/C6 → C2 ⊆ Aut C2×C12482(C2xC12).434D6288,253
(C2×C12).435D6 = C3×C2.D24φ: D6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).435D6288,255
(C2×C12).436D6 = C12×Dic6φ: D6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).436D6288,639
(C2×C12).437D6 = C3×C12⋊2Q8φ: D6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).437D6288,640
(C2×C12).438D6 = C3×C12.6Q8φ: D6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).438D6288,641
(C2×C12).439D6 = C3×C4⋊D12φ: D6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).439D6288,645
(C2×C12).440D6 = C3×C8○D12φ: D6/C6 → C2 ⊆ Aut C2×C12482(C2xC12).440D6288,672
(C2×C12).441D6 = C6×C24⋊C2φ: D6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).441D6288,673
(C2×C12).442D6 = C6×D24φ: D6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).442D6288,674
(C2×C12).443D6 = C3×C4○D24φ: D6/C6 → C2 ⊆ Aut C2×C12482(C2xC12).443D6288,675
(C2×C12).444D6 = C6×Dic12φ: D6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).444D6288,676
(C2×C12).445D6 = C6×C4.Dic3φ: D6/C6 → C2 ⊆ Aut C2×C1248(C2xC12).445D6288,692
(C2×C12).446D6 = C6×C4⋊Dic3φ: D6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).446D6288,696
(C2×C12).447D6 = C3×C23.26D6φ: D6/C6 → C2 ⊆ Aut C2×C1248(C2xC12).447D6288,697
(C2×C12).448D6 = C3×C12⋊7D4φ: D6/C6 → C2 ⊆ Aut C2×C1248(C2xC12).448D6288,701
(C2×C12).449D6 = C2×C6×Dic6φ: D6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).449D6288,988
(C2×C12).450D6 = C12×C3⋊C8central extension (φ=1)96(C2xC12).450D6288,236
(C2×C12).451D6 = C3×C42.S3central extension (φ=1)96(C2xC12).451D6288,237
(C2×C12).452D6 = C3×C12⋊C8central extension (φ=1)96(C2xC12).452D6288,238
(C2×C12).453D6 = Dic3×C24central extension (φ=1)96(C2xC12).453D6288,247
(C2×C12).454D6 = C3×Dic3⋊C8central extension (φ=1)96(C2xC12).454D6288,248
(C2×C12).455D6 = C3×C24⋊C4central extension (φ=1)96(C2xC12).455D6288,249
(C2×C12).456D6 = C3×D6⋊C8central extension (φ=1)96(C2xC12).456D6288,254
(C2×C12).457D6 = C3×C12.55D4central extension (φ=1)48(C2xC12).457D6288,264
(C2×C12).458D6 = S3×C4×C12central extension (φ=1)96(C2xC12).458D6288,642
(C2×C12).459D6 = C12×D12central extension (φ=1)96(C2xC12).459D6288,644
(C2×C12).460D6 = S3×C2×C24central extension (φ=1)96(C2xC12).460D6288,670
(C2×C12).461D6 = C6×C8⋊S3central extension (φ=1)96(C2xC12).461D6288,671
(C2×C12).462D6 = C2×C6×C3⋊C8central extension (φ=1)96(C2xC12).462D6288,691
(C2×C12).463D6 = Dic3×C2×C12central extension (φ=1)96(C2xC12).463D6288,693

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