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Extensions 1→N→G→Q→1 with N=C3×C12 and Q=D6

Direct product G=N×Q with N=C3×C12 and Q=D6
dρLabelID
S3×C6×C12144S3xC6xC12432,701

Semidirect products G=N:Q with N=C3×C12 and Q=D6
extensionφ:Q→Aut NdρLabelID
(C3×C12)⋊1D6 = C3⋊S3⋊D12φ: D6/C1 → D6 ⊆ Aut C3×C123612+(C3xC12):1D6432,301
(C3×C12)⋊2D6 = C12.86S32φ: D6/C1 → D6 ⊆ Aut C3×C12366+(C3xC12):2D6432,302
(C3×C12)⋊3D6 = D4×C32⋊C6φ: D6/C1 → D6 ⊆ Aut C3×C123612+(C3xC12):3D6432,360
(C3×C12)⋊4D6 = D4×He3⋊C2φ: D6/C1 → D6 ⊆ Aut C3×C12366(C3xC12):4D6432,390
(C3×C12)⋊5D6 = C4×C32⋊D6φ: D6/C1 → D6 ⊆ Aut C3×C12366(C3xC12):5D6432,300
(C3×C12)⋊6D6 = C2×He3⋊4D4φ: D6/C2 → S3 ⊆ Aut C3×C1272(C3xC12):6D6432,350
(C3×C12)⋊7D6 = C2×He3⋊5D4φ: D6/C2 → S3 ⊆ Aut C3×C1272(C3xC12):7D6432,386
(C3×C12)⋊8D6 = C2×C4×C32⋊C6φ: D6/C2 → S3 ⊆ Aut C3×C1272(C3xC12):8D6432,349
(C3×C12)⋊9D6 = C2×C4×He3⋊C2φ: D6/C2 → S3 ⊆ Aut C3×C1272(C3xC12):9D6432,385
(C3×C12)⋊10D6 = C3×D6⋊D6φ: D6/C3 → C22 ⊆ Aut C3×C12484(C3xC12):10D6432,650
(C3×C12)⋊11D6 = S3×C12⋊S3φ: D6/C3 → C22 ⊆ Aut C3×C1272(C3xC12):11D6432,671
(C3×C12)⋊12D6 = C3⋊S3×D12φ: D6/C3 → C22 ⊆ Aut C3×C1272(C3xC12):12D6432,672
(C3×C12)⋊13D6 = C12⋊S32φ: D6/C3 → C22 ⊆ Aut C3×C1272(C3xC12):13D6432,673
(C3×C12)⋊14D6 = C12⋊3S32φ: D6/C3 → C22 ⊆ Aut C3×C12484(C3xC12):14D6432,691
(C3×C12)⋊15D6 = C3×D4×C3⋊S3φ: D6/C3 → C22 ⊆ Aut C3×C1272(C3xC12):15D6432,714
(C3×C12)⋊16D6 = D4×C33⋊C2φ: D6/C3 → C22 ⊆ Aut C3×C12108(C3xC12):16D6432,724
(C3×C12)⋊17D6 = C4×S3×C3⋊S3φ: D6/C3 → C22 ⊆ Aut C3×C1272(C3xC12):17D6432,670
(C3×C12)⋊18D6 = C4×C32⋊4D6φ: D6/C3 → C22 ⊆ Aut C3×C12484(C3xC12):18D6432,690
(C3×C12)⋊19D6 = C3×S3×D12φ: D6/S3 → C2 ⊆ Aut C3×C12484(C3xC12):19D6432,649
(C3×C12)⋊20D6 = S32×C12φ: D6/S3 → C2 ⊆ Aut C3×C12484(C3xC12):20D6432,648
(C3×C12)⋊21D6 = S3×D4×C32φ: D6/S3 → C2 ⊆ Aut C3×C1272(C3xC12):21D6432,704
(C3×C12)⋊22D6 = C2×C33⋊12D4φ: D6/C6 → C2 ⊆ Aut C3×C12216(C3xC12):22D6432,722
(C3×C12)⋊23D6 = C6×C12⋊S3φ: D6/C6 → C2 ⊆ Aut C3×C12144(C3xC12):23D6432,712
(C3×C12)⋊24D6 = C3⋊S3×C2×C12φ: D6/C6 → C2 ⊆ Aut C3×C12144(C3xC12):24D6432,711
(C3×C12)⋊25D6 = C2×C4×C33⋊C2φ: D6/C6 → C2 ⊆ Aut C3×C12216(C3xC12):25D6432,721
(C3×C12)⋊26D6 = C3×C6×D12φ: D6/C6 → C2 ⊆ Aut C3×C12144(C3xC12):26D6432,702

Non-split extensions G=N.Q with N=C3×C12 and Q=D6
extensionφ:Q→Aut NdρLabelID
(C3×C12).1D6 = He3⋊3SD16φ: D6/C1 → D6 ⊆ Aut C3×C12726(C3xC12).1D6432,78
(C3×C12).2D6 = He3⋊2D8φ: D6/C1 → D6 ⊆ Aut C3×C12726+(C3xC12).2D6432,79
(C3×C12).3D6 = He3⋊2Q16φ: D6/C1 → D6 ⊆ Aut C3×C121446-(C3xC12).3D6432,80
(C3×C12).4D6 = He3⋊3D8φ: D6/C1 → D6 ⊆ Aut C3×C127212+(C3xC12).4D6432,83
(C3×C12).5D6 = He3⋊4SD16φ: D6/C1 → D6 ⊆ Aut C3×C127212-(C3xC12).5D6432,84
(C3×C12).6D6 = He3⋊5SD16φ: D6/C1 → D6 ⊆ Aut C3×C127212+(C3xC12).6D6432,85
(C3×C12).7D6 = He3⋊3Q16φ: D6/C1 → D6 ⊆ Aut C3×C1214412-(C3xC12).7D6432,86
(C3×C12).8D6 = He3⋊8SD16φ: D6/C1 → D6 ⊆ Aut C3×C127212-(C3xC12).8D6432,152
(C3×C12).9D6 = He3⋊6D8φ: D6/C1 → D6 ⊆ Aut C3×C127212+(C3xC12).9D6432,153
(C3×C12).10D6 = Dic18⋊C6φ: D6/C1 → D6 ⊆ Aut C3×C127212-(C3xC12).10D6432,154
(C3×C12).11D6 = D36⋊C6φ: D6/C1 → D6 ⊆ Aut C3×C127212+(C3xC12).11D6432,155
(C3×C12).12D6 = He3⋊6Q16φ: D6/C1 → D6 ⊆ Aut C3×C1214412-(C3xC12).12D6432,160
(C3×C12).13D6 = He3⋊10SD16φ: D6/C1 → D6 ⊆ Aut C3×C127212+(C3xC12).13D6432,161
(C3×C12).14D6 = Dic18.C6φ: D6/C1 → D6 ⊆ Aut C3×C1214412-(C3xC12).14D6432,162
(C3×C12).15D6 = D36.C6φ: D6/C1 → D6 ⊆ Aut C3×C127212+(C3xC12).15D6432,163
(C3×C12).16D6 = He3⋊7D8φ: D6/C1 → D6 ⊆ Aut C3×C12726(C3xC12).16D6432,192
(C3×C12).17D6 = He3⋊9SD16φ: D6/C1 → D6 ⊆ Aut C3×C12726(C3xC12).17D6432,193
(C3×C12).18D6 = He3⋊11SD16φ: D6/C1 → D6 ⊆ Aut C3×C12726(C3xC12).18D6432,196
(C3×C12).19D6 = He3⋊7Q16φ: D6/C1 → D6 ⊆ Aut C3×C121446(C3xC12).19D6432,197
(C3×C12).20D6 = C3⋊S3⋊Dic6φ: D6/C1 → D6 ⊆ Aut C3×C127212-(C3xC12).20D6432,294
(C3×C12).21D6 = C12⋊S3⋊S3φ: D6/C1 → D6 ⊆ Aut C3×C127212+(C3xC12).21D6432,295
(C3×C12).22D6 = C12.84S32φ: D6/C1 → D6 ⊆ Aut C3×C12726(C3xC12).22D6432,296
(C3×C12).23D6 = C12.85S32φ: D6/C1 → D6 ⊆ Aut C3×C12726-(C3xC12).23D6432,298
(C3×C12).24D6 = C12.S32φ: D6/C1 → D6 ⊆ Aut C3×C127212-(C3xC12).24D6432,299
(C3×C12).25D6 = C62.13D6φ: D6/C1 → D6 ⊆ Aut C3×C127212-(C3xC12).25D6432,361
(C3×C12).26D6 = D4×C9⋊C6φ: D6/C1 → D6 ⊆ Aut C3×C123612+(C3xC12).26D6432,362
(C3×C12).27D6 = Dic18⋊2C6φ: D6/C1 → D6 ⊆ Aut C3×C127212-(C3xC12).27D6432,363
(C3×C12).28D6 = Q8×C32⋊C6φ: D6/C1 → D6 ⊆ Aut C3×C127212-(C3xC12).28D6432,368
(C3×C12).29D6 = (Q8×He3)⋊C2φ: D6/C1 → D6 ⊆ Aut C3×C127212+(C3xC12).29D6432,369
(C3×C12).30D6 = Q8×C9⋊C6φ: D6/C1 → D6 ⊆ Aut C3×C127212-(C3xC12).30D6432,370
(C3×C12).31D6 = D36⋊3C6φ: D6/C1 → D6 ⊆ Aut C3×C127212+(C3xC12).31D6432,371
(C3×C12).32D6 = C62.16D6φ: D6/C1 → D6 ⊆ Aut C3×C12726(C3xC12).32D6432,391
(C3×C12).33D6 = Q8×He3⋊C2φ: D6/C1 → D6 ⊆ Aut C3×C12726(C3xC12).33D6432,394
(C3×C12).34D6 = He3⋊5D4⋊C2φ: D6/C1 → D6 ⊆ Aut C3×C12726(C3xC12).34D6432,395
(C3×C12).35D6 = C32⋊C6⋊C8φ: D6/C1 → D6 ⊆ Aut C3×C12726(C3xC12).35D6432,76
(C3×C12).36D6 = He3⋊M4(2)φ: D6/C1 → D6 ⊆ Aut C3×C12726(C3xC12).36D6432,77
(C3×C12).37D6 = C12.89S32φ: D6/C1 → D6 ⊆ Aut C3×C12726(C3xC12).37D6432,81
(C3×C12).38D6 = He3⋊3M4(2)φ: D6/C1 → D6 ⊆ Aut C3×C12726(C3xC12).38D6432,82
(C3×C12).39D6 = C12.91S32φ: D6/C1 → D6 ⊆ Aut C3×C12726(C3xC12).39D6432,297
(C3×C12).40D6 = He3⋊4Q16φ: D6/C2 → S3 ⊆ Aut C3×C121446-(C3xC12).40D6432,114
(C3×C12).41D6 = He3⋊6SD16φ: D6/C2 → S3 ⊆ Aut C3×C12726(C3xC12).41D6432,117
(C3×C12).42D6 = He3⋊4D8φ: D6/C2 → S3 ⊆ Aut C3×C12726+(C3xC12).42D6432,118
(C3×C12).43D6 = C72.C6φ: D6/C2 → S3 ⊆ Aut C3×C121446-(C3xC12).43D6432,119
(C3×C12).44D6 = C72⋊2C6φ: D6/C2 → S3 ⊆ Aut C3×C12726(C3xC12).44D6432,122
(C3×C12).45D6 = D72⋊C3φ: D6/C2 → S3 ⊆ Aut C3×C12726+(C3xC12).45D6432,123
(C3×C12).46D6 = He3⋊7SD16φ: D6/C2 → S3 ⊆ Aut C3×C12726(C3xC12).46D6432,175
(C3×C12).47D6 = He3⋊5D8φ: D6/C2 → S3 ⊆ Aut C3×C12726(C3xC12).47D6432,176
(C3×C12).48D6 = He3⋊5Q16φ: D6/C2 → S3 ⊆ Aut C3×C121446(C3xC12).48D6432,177
(C3×C12).49D6 = C2×He3⋊3Q8φ: D6/C2 → S3 ⊆ Aut C3×C12144(C3xC12).49D6432,348
(C3×C12).50D6 = C62.36D6φ: D6/C2 → S3 ⊆ Aut C3×C12726(C3xC12).50D6432,351
(C3×C12).51D6 = C2×C36.C6φ: D6/C2 → S3 ⊆ Aut C3×C12144(C3xC12).51D6432,352
(C3×C12).52D6 = C2×D36⋊C3φ: D6/C2 → S3 ⊆ Aut C3×C1272(C3xC12).52D6432,354
(C3×C12).53D6 = D36⋊6C6φ: D6/C2 → S3 ⊆ Aut C3×C12726(C3xC12).53D6432,355
(C3×C12).54D6 = C2×He3⋊4Q8φ: D6/C2 → S3 ⊆ Aut C3×C12144(C3xC12).54D6432,384
(C3×C12).55D6 = C62.47D6φ: D6/C2 → S3 ⊆ Aut C3×C12726(C3xC12).55D6432,387
(C3×C12).56D6 = C8×C32⋊C6φ: D6/C2 → S3 ⊆ Aut C3×C12726(C3xC12).56D6432,115
(C3×C12).57D6 = He3⋊5M4(2)φ: D6/C2 → S3 ⊆ Aut C3×C12726(C3xC12).57D6432,116
(C3×C12).58D6 = C8×C9⋊C6φ: D6/C2 → S3 ⊆ Aut C3×C12726(C3xC12).58D6432,120
(C3×C12).59D6 = C72⋊C6φ: D6/C2 → S3 ⊆ Aut C3×C12726(C3xC12).59D6432,121
(C3×C12).60D6 = C2×He3⋊3C8φ: D6/C2 → S3 ⊆ Aut C3×C12144(C3xC12).60D6432,136
(C3×C12).61D6 = He3⋊7M4(2)φ: D6/C2 → S3 ⊆ Aut C3×C12726(C3xC12).61D6432,137
(C3×C12).62D6 = C2×C9⋊C24φ: D6/C2 → S3 ⊆ Aut C3×C12144(C3xC12).62D6432,142
(C3×C12).63D6 = C36.C12φ: D6/C2 → S3 ⊆ Aut C3×C12726(C3xC12).63D6432,143
(C3×C12).64D6 = C8×He3⋊C2φ: D6/C2 → S3 ⊆ Aut C3×C12723(C3xC12).64D6432,173
(C3×C12).65D6 = He3⋊6M4(2)φ: D6/C2 → S3 ⊆ Aut C3×C12726(C3xC12).65D6432,174
(C3×C12).66D6 = C2×He3⋊4C8φ: D6/C2 → S3 ⊆ Aut C3×C12144(C3xC12).66D6432,184
(C3×C12).67D6 = He3⋊8M4(2)φ: D6/C2 → S3 ⊆ Aut C3×C12726(C3xC12).67D6432,185
(C3×C12).68D6 = C2×C4×C9⋊C6φ: D6/C2 → S3 ⊆ Aut C3×C1272(C3xC12).68D6432,353
(C3×C12).69D6 = D36.S3φ: D6/C3 → C22 ⊆ Aut C3×C121444-(C3xC12).69D6432,62
(C3×C12).70D6 = C6.D36φ: D6/C3 → C22 ⊆ Aut C3×C12724+(C3xC12).70D6432,63
(C3×C12).71D6 = C3⋊D72φ: D6/C3 → C22 ⊆ Aut C3×C12724+(C3xC12).71D6432,64
(C3×C12).72D6 = C3⋊Dic36φ: D6/C3 → C22 ⊆ Aut C3×C121444-(C3xC12).72D6432,65
(C3×C12).73D6 = D36⋊S3φ: D6/C3 → C22 ⊆ Aut C3×C121444(C3xC12).73D6432,68
(C3×C12).74D6 = C9⋊D24φ: D6/C3 → C22 ⊆ Aut C3×C12724+(C3xC12).74D6432,69
(C3×C12).75D6 = D12.D9φ: D6/C3 → C22 ⊆ Aut C3×C121444(C3xC12).75D6432,70
(C3×C12).76D6 = C36.D6φ: D6/C3 → C22 ⊆ Aut C3×C121444-(C3xC12).76D6432,71
(C3×C12).77D6 = Dic6⋊D9φ: D6/C3 → C22 ⊆ Aut C3×C121444(C3xC12).77D6432,72
(C3×C12).78D6 = C18.D12φ: D6/C3 → C22 ⊆ Aut C3×C12724+(C3xC12).78D6432,73
(C3×C12).79D6 = C12.D18φ: D6/C3 → C22 ⊆ Aut C3×C121444(C3xC12).79D6432,74
(C3×C12).80D6 = C9⋊Dic12φ: D6/C3 → C22 ⊆ Aut C3×C121444-(C3xC12).80D6432,75
(C3×C12).81D6 = C3×D4.D9φ: D6/C3 → C22 ⊆ Aut C3×C12724(C3xC12).81D6432,148
(C3×C12).82D6 = C3×D4⋊D9φ: D6/C3 → C22 ⊆ Aut C3×C12724(C3xC12).82D6432,149
(C3×C12).83D6 = C3×C9⋊Q16φ: D6/C3 → C22 ⊆ Aut C3×C121444(C3xC12).83D6432,156
(C3×C12).84D6 = C3×Q8⋊2D9φ: D6/C3 → C22 ⊆ Aut C3×C121444(C3xC12).84D6432,157
(C3×C12).85D6 = C36.17D6φ: D6/C3 → C22 ⊆ Aut C3×C12216(C3xC12).85D6432,190
(C3×C12).86D6 = C36.18D6φ: D6/C3 → C22 ⊆ Aut C3×C12216(C3xC12).86D6432,191
(C3×C12).87D6 = C36.19D6φ: D6/C3 → C22 ⊆ Aut C3×C12432(C3xC12).87D6432,194
(C3×C12).88D6 = C36.20D6φ: D6/C3 → C22 ⊆ Aut C3×C12216(C3xC12).88D6432,195
(C3×C12).89D6 = D9×Dic6φ: D6/C3 → C22 ⊆ Aut C3×C121444-(C3xC12).89D6432,280
(C3×C12).90D6 = D18.D6φ: D6/C3 → C22 ⊆ Aut C3×C12724(C3xC12).90D6432,281
(C3×C12).91D6 = Dic6⋊5D9φ: D6/C3 → C22 ⊆ Aut C3×C12724+(C3xC12).91D6432,282
(C3×C12).92D6 = Dic18⋊S3φ: D6/C3 → C22 ⊆ Aut C3×C12724(C3xC12).92D6432,283
(C3×C12).93D6 = S3×Dic18φ: D6/C3 → C22 ⊆ Aut C3×C121444-(C3xC12).93D6432,284
(C3×C12).94D6 = D12⋊5D9φ: D6/C3 → C22 ⊆ Aut C3×C121444-(C3xC12).94D6432,285
(C3×C12).95D6 = D12⋊D9φ: D6/C3 → C22 ⊆ Aut C3×C12724(C3xC12).95D6432,286
(C3×C12).96D6 = D36⋊5S3φ: D6/C3 → C22 ⊆ Aut C3×C121444-(C3xC12).96D6432,288
(C3×C12).97D6 = Dic9.D6φ: D6/C3 → C22 ⊆ Aut C3×C12724+(C3xC12).97D6432,289
(C3×C12).98D6 = S3×D36φ: D6/C3 → C22 ⊆ Aut C3×C12724+(C3xC12).98D6432,291
(C3×C12).99D6 = D9×D12φ: D6/C3 → C22 ⊆ Aut C3×C12724+(C3xC12).99D6432,292
(C3×C12).100D6 = C36⋊D6φ: D6/C3 → C22 ⊆ Aut C3×C12724(C3xC12).100D6432,293
(C3×C12).101D6 = C3×D4×D9φ: D6/C3 → C22 ⊆ Aut C3×C12724(C3xC12).101D6432,356
(C3×C12).102D6 = C3×D4⋊2D9φ: D6/C3 → C22 ⊆ Aut C3×C12724(C3xC12).102D6432,357
(C3×C12).103D6 = C3×Q8×D9φ: D6/C3 → C22 ⊆ Aut C3×C121444(C3xC12).103D6432,364
(C3×C12).104D6 = C3×Q8⋊3D9φ: D6/C3 → C22 ⊆ Aut C3×C121444(C3xC12).104D6432,365
(C3×C12).105D6 = D4×C9⋊S3φ: D6/C3 → C22 ⊆ Aut C3×C12108(C3xC12).105D6432,388
(C3×C12).106D6 = C36.27D6φ: D6/C3 → C22 ⊆ Aut C3×C12216(C3xC12).106D6432,389
(C3×C12).107D6 = Q8×C9⋊S3φ: D6/C3 → C22 ⊆ Aut C3×C12216(C3xC12).107D6432,392
(C3×C12).108D6 = C36.29D6φ: D6/C3 → C22 ⊆ Aut C3×C12216(C3xC12).108D6432,393
(C3×C12).109D6 = C3×C32⋊2D8φ: D6/C3 → C22 ⊆ Aut C3×C12484(C3xC12).109D6432,418
(C3×C12).110D6 = C3×Dic6⋊S3φ: D6/C3 → C22 ⊆ Aut C3×C12484(C3xC12).110D6432,420
(C3×C12).111D6 = C3×C32⋊2Q16φ: D6/C3 → C22 ⊆ Aut C3×C12484(C3xC12).111D6432,423
(C3×C12).112D6 = C33⋊6D8φ: D6/C3 → C22 ⊆ Aut C3×C12144(C3xC12).112D6432,436
(C3×C12).113D6 = C33⋊7D8φ: D6/C3 → C22 ⊆ Aut C3×C1272(C3xC12).113D6432,437
(C3×C12).114D6 = C33⋊8D8φ: D6/C3 → C22 ⊆ Aut C3×C1272(C3xC12).114D6432,438
(C3×C12).115D6 = C33⋊12SD16φ: D6/C3 → C22 ⊆ Aut C3×C12144(C3xC12).115D6432,439
(C3×C12).116D6 = C33⋊13SD16φ: D6/C3 → C22 ⊆ Aut C3×C12144(C3xC12).116D6432,440
(C3×C12).117D6 = C33⋊14SD16φ: D6/C3 → C22 ⊆ Aut C3×C12144(C3xC12).117D6432,441
(C3×C12).118D6 = C33⋊15SD16φ: D6/C3 → C22 ⊆ Aut C3×C1272(C3xC12).118D6432,442
(C3×C12).119D6 = C33⋊16SD16φ: D6/C3 → C22 ⊆ Aut C3×C12144(C3xC12).119D6432,443
(C3×C12).120D6 = C33⋊17SD16φ: D6/C3 → C22 ⊆ Aut C3×C1272(C3xC12).120D6432,444
(C3×C12).121D6 = C33⋊6Q16φ: D6/C3 → C22 ⊆ Aut C3×C12144(C3xC12).121D6432,445
(C3×C12).122D6 = C33⋊7Q16φ: D6/C3 → C22 ⊆ Aut C3×C12144(C3xC12).122D6432,446
(C3×C12).123D6 = C33⋊8Q16φ: D6/C3 → C22 ⊆ Aut C3×C12144(C3xC12).123D6432,447
(C3×C12).124D6 = C33⋊9D8φ: D6/C3 → C22 ⊆ Aut C3×C12484(C3xC12).124D6432,457
(C3×C12).125D6 = C33⋊18SD16φ: D6/C3 → C22 ⊆ Aut C3×C12484(C3xC12).125D6432,458
(C3×C12).126D6 = C33⋊9Q16φ: D6/C3 → C22 ⊆ Aut C3×C12484(C3xC12).126D6432,459
(C3×C12).127D6 = C3×C32⋊7D8φ: D6/C3 → C22 ⊆ Aut C3×C1272(C3xC12).127D6432,491
(C3×C12).128D6 = C3×C32⋊9SD16φ: D6/C3 → C22 ⊆ Aut C3×C1272(C3xC12).128D6432,492
(C3×C12).129D6 = C3×C32⋊11SD16φ: D6/C3 → C22 ⊆ Aut C3×C12144(C3xC12).129D6432,493
(C3×C12).130D6 = C3×C32⋊7Q16φ: D6/C3 → C22 ⊆ Aut C3×C12144(C3xC12).130D6432,494
(C3×C12).131D6 = C33⋊15D8φ: D6/C3 → C22 ⊆ Aut C3×C12216(C3xC12).131D6432,507
(C3×C12).132D6 = C33⋊24SD16φ: D6/C3 → C22 ⊆ Aut C3×C12216(C3xC12).132D6432,508
(C3×C12).133D6 = C33⋊27SD16φ: D6/C3 → C22 ⊆ Aut C3×C12216(C3xC12).133D6432,509
(C3×C12).134D6 = C33⋊15Q16φ: D6/C3 → C22 ⊆ Aut C3×C12432(C3xC12).134D6432,510
(C3×C12).135D6 = C3×D12⋊5S3φ: D6/C3 → C22 ⊆ Aut C3×C12484(C3xC12).135D6432,643
(C3×C12).136D6 = C3×D12⋊S3φ: D6/C3 → C22 ⊆ Aut C3×C12484(C3xC12).136D6432,644
(C3×C12).137D6 = C3×Dic3.D6φ: D6/C3 → C22 ⊆ Aut C3×C12484(C3xC12).137D6432,645
(C3×C12).138D6 = S3×C32⋊4Q8φ: D6/C3 → C22 ⊆ Aut C3×C12144(C3xC12).138D6432,660
(C3×C12).139D6 = (C3×D12)⋊S3φ: D6/C3 → C22 ⊆ Aut C3×C12144(C3xC12).139D6432,661
(C3×C12).140D6 = D12⋊(C3⋊S3)φ: D6/C3 → C22 ⊆ Aut C3×C1272(C3xC12).140D6432,662
(C3×C12).141D6 = C3⋊S3×Dic6φ: D6/C3 → C22 ⊆ Aut C3×C12144(C3xC12).141D6432,663
(C3×C12).142D6 = C12.39S32φ: D6/C3 → C22 ⊆ Aut C3×C1272(C3xC12).142D6432,664
(C3×C12).143D6 = C12.40S32φ: D6/C3 → C22 ⊆ Aut C3×C1272(C3xC12).143D6432,665
(C3×C12).144D6 = C32⋊9(S3×Q8)φ: D6/C3 → C22 ⊆ Aut C3×C1272(C3xC12).144D6432,666
(C3×C12).145D6 = C12.57S32φ: D6/C3 → C22 ⊆ Aut C3×C12144(C3xC12).145D6432,668
(C3×C12).146D6 = C12.58S32φ: D6/C3 → C22 ⊆ Aut C3×C1272(C3xC12).146D6432,669
(C3×C12).147D6 = C3⋊S3⋊4Dic6φ: D6/C3 → C22 ⊆ Aut C3×C12484(C3xC12).147D6432,687
(C3×C12).148D6 = C12⋊S3⋊12S3φ: D6/C3 → C22 ⊆ Aut C3×C12484(C3xC12).148D6432,688
(C3×C12).149D6 = C3×C12.D6φ: D6/C3 → C22 ⊆ Aut C3×C1272(C3xC12).149D6432,715
(C3×C12).150D6 = C3×Q8×C3⋊S3φ: D6/C3 → C22 ⊆ Aut C3×C12144(C3xC12).150D6432,716
(C3×C12).151D6 = C3×C12.26D6φ: D6/C3 → C22 ⊆ Aut C3×C12144(C3xC12).151D6432,717
(C3×C12).152D6 = C62.100D6φ: D6/C3 → C22 ⊆ Aut C3×C12216(C3xC12).152D6432,725
(C3×C12).153D6 = Q8×C33⋊C2φ: D6/C3 → C22 ⊆ Aut C3×C12216(C3xC12).153D6432,726
(C3×C12).154D6 = (Q8×C33)⋊C2φ: D6/C3 → C22 ⊆ Aut C3×C12216(C3xC12).154D6432,727
(C3×C12).155D6 = D9×C3⋊C8φ: D6/C3 → C22 ⊆ Aut C3×C121444(C3xC12).155D6432,58
(C3×C12).156D6 = C36.38D6φ: D6/C3 → C22 ⊆ Aut C3×C12724(C3xC12).156D6432,59
(C3×C12).157D6 = C36.39D6φ: D6/C3 → C22 ⊆ Aut C3×C121444(C3xC12).157D6432,60
(C3×C12).158D6 = C36.40D6φ: D6/C3 → C22 ⊆ Aut C3×C12724(C3xC12).158D6432,61
(C3×C12).159D6 = S3×C9⋊C8φ: D6/C3 → C22 ⊆ Aut C3×C121444(C3xC12).159D6432,66
(C3×C12).160D6 = D6.Dic9φ: D6/C3 → C22 ⊆ Aut C3×C121444(C3xC12).160D6432,67
(C3×C12).161D6 = D6.D18φ: D6/C3 → C22 ⊆ Aut C3×C12724(C3xC12).161D6432,287
(C3×C12).162D6 = C4×S3×D9φ: D6/C3 → C22 ⊆ Aut C3×C12724(C3xC12).162D6432,290
(C3×C12).163D6 = C3⋊S3×C3⋊C8φ: D6/C3 → C22 ⊆ Aut C3×C12144(C3xC12).163D6432,431
(C3×C12).164D6 = C12.69S32φ: D6/C3 → C22 ⊆ Aut C3×C1272(C3xC12).164D6432,432
(C3×C12).165D6 = C33⋊7M4(2)φ: D6/C3 → C22 ⊆ Aut C3×C12144(C3xC12).165D6432,433
(C3×C12).166D6 = C33⋊8M4(2)φ: D6/C3 → C22 ⊆ Aut C3×C12144(C3xC12).166D6432,434
(C3×C12).167D6 = C33⋊9M4(2)φ: D6/C3 → C22 ⊆ Aut C3×C1272(C3xC12).167D6432,435
(C3×C12).168D6 = C12.93S32φ: D6/C3 → C22 ⊆ Aut C3×C12484(C3xC12).168D6432,455
(C3×C12).169D6 = C33⋊10M4(2)φ: D6/C3 → C22 ⊆ Aut C3×C12484(C3xC12).169D6432,456
(C3×C12).170D6 = C12.73S32φ: D6/C3 → C22 ⊆ Aut C3×C1272(C3xC12).170D6432,667
(C3×C12).171D6 = C12.95S32φ: D6/C3 → C22 ⊆ Aut C3×C12484(C3xC12).171D6432,689
(C3×C12).172D6 = C3×C3⋊D24φ: D6/S3 → C2 ⊆ Aut C3×C12484(C3xC12).172D6432,419
(C3×C12).173D6 = C3×D12.S3φ: D6/S3 → C2 ⊆ Aut C3×C12484(C3xC12).173D6432,421
(C3×C12).174D6 = C3×C32⋊5SD16φ: D6/S3 → C2 ⊆ Aut C3×C12484(C3xC12).174D6432,422
(C3×C12).175D6 = C3×C32⋊3Q16φ: D6/S3 → C2 ⊆ Aut C3×C12484(C3xC12).175D6432,424
(C3×C12).176D6 = C3×S3×Dic6φ: D6/S3 → C2 ⊆ Aut C3×C12484(C3xC12).176D6432,642
(C3×C12).177D6 = C3×D6.6D6φ: D6/S3 → C2 ⊆ Aut C3×C12484(C3xC12).177D6432,647
(C3×C12).178D6 = C3×S3×C3⋊C8φ: D6/S3 → C2 ⊆ Aut C3×C12484(C3xC12).178D6432,414
(C3×C12).179D6 = C3×C12.29D6φ: D6/S3 → C2 ⊆ Aut C3×C12484(C3xC12).179D6432,415
(C3×C12).180D6 = C3×D6.Dic3φ: D6/S3 → C2 ⊆ Aut C3×C12484(C3xC12).180D6432,416
(C3×C12).181D6 = C3×C12.31D6φ: D6/S3 → C2 ⊆ Aut C3×C12484(C3xC12).181D6432,417
(C3×C12).182D6 = S3×C32⋊4C8φ: D6/S3 → C2 ⊆ Aut C3×C12144(C3xC12).182D6432,430
(C3×C12).183D6 = C3×D6.D6φ: D6/S3 → C2 ⊆ Aut C3×C12484(C3xC12).183D6432,646
(C3×C12).184D6 = C32×D4⋊S3φ: D6/S3 → C2 ⊆ Aut C3×C1272(C3xC12).184D6432,475
(C3×C12).185D6 = C32×D4.S3φ: D6/S3 → C2 ⊆ Aut C3×C1272(C3xC12).185D6432,476
(C3×C12).186D6 = C32×Q8⋊2S3φ: D6/S3 → C2 ⊆ Aut C3×C12144(C3xC12).186D6432,477
(C3×C12).187D6 = C32×C3⋊Q16φ: D6/S3 → C2 ⊆ Aut C3×C12144(C3xC12).187D6432,478
(C3×C12).188D6 = C32×D4⋊2S3φ: D6/S3 → C2 ⊆ Aut C3×C1272(C3xC12).188D6432,705
(C3×C12).189D6 = S3×Q8×C32φ: D6/S3 → C2 ⊆ Aut C3×C12144(C3xC12).189D6432,706
(C3×C12).190D6 = C32×Q8⋊3S3φ: D6/S3 → C2 ⊆ Aut C3×C12144(C3xC12).190D6432,707
(C3×C12).191D6 = C24.D9φ: D6/C6 → C2 ⊆ Aut C3×C12432(C3xC12).191D6432,168
(C3×C12).192D6 = C24⋊D9φ: D6/C6 → C2 ⊆ Aut C3×C12216(C3xC12).192D6432,171
(C3×C12).193D6 = C72⋊1S3φ: D6/C6 → C2 ⊆ Aut C3×C12216(C3xC12).193D6432,172
(C3×C12).194D6 = C2×C12.D9φ: D6/C6 → C2 ⊆ Aut C3×C12432(C3xC12).194D6432,380
(C3×C12).195D6 = C2×C36⋊S3φ: D6/C6 → C2 ⊆ Aut C3×C12216(C3xC12).195D6432,382
(C3×C12).196D6 = C36.70D6φ: D6/C6 → C2 ⊆ Aut C3×C12216(C3xC12).196D6432,383
(C3×C12).197D6 = C33⋊21SD16φ: D6/C6 → C2 ⊆ Aut C3×C12216(C3xC12).197D6432,498
(C3×C12).198D6 = C33⋊12D8φ: D6/C6 → C2 ⊆ Aut C3×C12216(C3xC12).198D6432,499
(C3×C12).199D6 = C33⋊12Q16φ: D6/C6 → C2 ⊆ Aut C3×C12432(C3xC12).199D6432,500
(C3×C12).200D6 = C2×C33⋊8Q8φ: D6/C6 → C2 ⊆ Aut C3×C12432(C3xC12).200D6432,720
(C3×C12).201D6 = C62.160D6φ: D6/C6 → C2 ⊆ Aut C3×C12216(C3xC12).201D6432,723
(C3×C12).202D6 = C3×Dic36φ: D6/C6 → C2 ⊆ Aut C3×C121442(C3xC12).202D6432,104
(C3×C12).203D6 = C3×C72⋊C2φ: D6/C6 → C2 ⊆ Aut C3×C121442(C3xC12).203D6432,107
(C3×C12).204D6 = C3×D72φ: D6/C6 → C2 ⊆ Aut C3×C121442(C3xC12).204D6432,108
(C3×C12).205D6 = C6×Dic18φ: D6/C6 → C2 ⊆ Aut C3×C12144(C3xC12).205D6432,340
(C3×C12).206D6 = C6×D36φ: D6/C6 → C2 ⊆ Aut C3×C12144(C3xC12).206D6432,343
(C3×C12).207D6 = C3×C24⋊2S3φ: D6/C6 → C2 ⊆ Aut C3×C12144(C3xC12).207D6432,482
(C3×C12).208D6 = C3×C32⋊5D8φ: D6/C6 → C2 ⊆ Aut C3×C12144(C3xC12).208D6432,483
(C3×C12).209D6 = C3×C32⋊5Q16φ: D6/C6 → C2 ⊆ Aut C3×C12144(C3xC12).209D6432,484
(C3×C12).210D6 = C6×C32⋊4Q8φ: D6/C6 → C2 ⊆ Aut C3×C12144(C3xC12).210D6432,710
(C3×C12).211D6 = C3×C12.59D6φ: D6/C6 → C2 ⊆ Aut C3×C1272(C3xC12).211D6432,713
(C3×C12).212D6 = D9×C24φ: D6/C6 → C2 ⊆ Aut C3×C121442(C3xC12).212D6432,105
(C3×C12).213D6 = C3×C8⋊D9φ: D6/C6 → C2 ⊆ Aut C3×C121442(C3xC12).213D6432,106
(C3×C12).214D6 = C6×C9⋊C8φ: D6/C6 → C2 ⊆ Aut C3×C12144(C3xC12).214D6432,124
(C3×C12).215D6 = C3×C4.Dic9φ: D6/C6 → C2 ⊆ Aut C3×C12722(C3xC12).215D6432,125
(C3×C12).216D6 = C8×C9⋊S3φ: D6/C6 → C2 ⊆ Aut C3×C12216(C3xC12).216D6432,169
(C3×C12).217D6 = C72⋊S3φ: D6/C6 → C2 ⊆ Aut C3×C12216(C3xC12).217D6432,170
(C3×C12).218D6 = C2×C36.S3φ: D6/C6 → C2 ⊆ Aut C3×C12432(C3xC12).218D6432,178
(C3×C12).219D6 = C36.69D6φ: D6/C6 → C2 ⊆ Aut C3×C12216(C3xC12).219D6432,179
(C3×C12).220D6 = D9×C2×C12φ: D6/C6 → C2 ⊆ Aut C3×C12144(C3xC12).220D6432,342
(C3×C12).221D6 = C3×D36⋊5C2φ: D6/C6 → C2 ⊆ Aut C3×C12722(C3xC12).221D6432,344
(C3×C12).222D6 = C2×C4×C9⋊S3φ: D6/C6 → C2 ⊆ Aut C3×C12216(C3xC12).222D6432,381
(C3×C12).223D6 = C3⋊S3×C24φ: D6/C6 → C2 ⊆ Aut C3×C12144(C3xC12).223D6432,480
(C3×C12).224D6 = C3×C24⋊S3φ: D6/C6 → C2 ⊆ Aut C3×C12144(C3xC12).224D6432,481
(C3×C12).225D6 = C6×C32⋊4C8φ: D6/C6 → C2 ⊆ Aut C3×C12144(C3xC12).225D6432,485
(C3×C12).226D6 = C3×C12.58D6φ: D6/C6 → C2 ⊆ Aut C3×C1272(C3xC12).226D6432,486
(C3×C12).227D6 = C8×C33⋊C2φ: D6/C6 → C2 ⊆ Aut C3×C12216(C3xC12).227D6432,496
(C3×C12).228D6 = C33⋊15M4(2)φ: D6/C6 → C2 ⊆ Aut C3×C12216(C3xC12).228D6432,497
(C3×C12).229D6 = C2×C33⋊7C8φ: D6/C6 → C2 ⊆ Aut C3×C12432(C3xC12).229D6432,501
(C3×C12).230D6 = C33⋊18M4(2)φ: D6/C6 → C2 ⊆ Aut C3×C12216(C3xC12).230D6432,502
(C3×C12).231D6 = C32×C24⋊C2φ: D6/C6 → C2 ⊆ Aut C3×C12144(C3xC12).231D6432,466
(C3×C12).232D6 = C32×D24φ: D6/C6 → C2 ⊆ Aut C3×C12144(C3xC12).232D6432,467
(C3×C12).233D6 = C32×Dic12φ: D6/C6 → C2 ⊆ Aut C3×C12144(C3xC12).233D6432,468
(C3×C12).234D6 = C3×C6×Dic6φ: D6/C6 → C2 ⊆ Aut C3×C12144(C3xC12).234D6432,700
(C3×C12).235D6 = S3×C3×C24central extension (φ=1)144(C3xC12).235D6432,464
(C3×C12).236D6 = C32×C8⋊S3central extension (φ=1)144(C3xC12).236D6432,465
(C3×C12).237D6 = C3×C6×C3⋊C8central extension (φ=1)144(C3xC12).237D6432,469
(C3×C12).238D6 = C32×C4.Dic3central extension (φ=1)72(C3xC12).238D6432,470
(C3×C12).239D6 = C32×C4○D12central extension (φ=1)72(C3xC12).239D6432,703

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