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Extensions 1→N→G→Q→1 with N=C3×C12 and Q=D4

Direct product G=N×Q with N=C3×C12 and Q=D4
dρLabelID
D4×C3×C12144D4xC3xC12288,815

Semidirect products G=N:Q with N=C3×C12 and Q=D4
extensionφ:Q→Aut NdρLabelID
(C3×C12)⋊1D4 = S32⋊D4φ: D4/C1 → D4 ⊆ Aut C3×C12244(C3xC12):1D4288,878
(C3×C12)⋊2D4 = C4⋊S3≀C2φ: D4/C1 → D4 ⊆ Aut C3×C12248+(C3xC12):2D4288,879
(C3×C12)⋊3D4 = C4×S3≀C2φ: D4/C1 → D4 ⊆ Aut C3×C12244(C3xC12):3D4288,877
(C3×C12)⋊4D4 = D6⋊2D12φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12):4D4288,556
(C3×C12)⋊5D4 = C12⋊7D12φ: D4/C2 → C22 ⊆ Aut C3×C1248(C3xC12):5D4288,557
(C3×C12)⋊6D4 = C12⋊D12φ: D4/C2 → C22 ⊆ Aut C3×C1248(C3xC12):6D4288,559
(C3×C12)⋊7D4 = C62.84C23φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12):7D4288,562
(C3×C12)⋊8D4 = C12⋊2D12φ: D4/C2 → C22 ⊆ Aut C3×C1248(C3xC12):8D4288,564
(C3×C12)⋊9D4 = C3×C12⋊D4φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12):9D4288,666
(C3×C12)⋊10D4 = C3×D6⋊3D4φ: D4/C2 → C22 ⊆ Aut C3×C1248(C3xC12):10D4288,709
(C3×C12)⋊11D4 = C3×C12⋊3D4φ: D4/C2 → C22 ⊆ Aut C3×C1248(C3xC12):11D4288,711
(C3×C12)⋊12D4 = C12⋊3D12φ: D4/C2 → C22 ⊆ Aut C3×C12144(C3xC12):12D4288,752
(C3×C12)⋊13D4 = C62.256C23φ: D4/C2 → C22 ⊆ Aut C3×C12144(C3xC12):13D4288,795
(C3×C12)⋊14D4 = C62.258C23φ: D4/C2 → C22 ⊆ Aut C3×C12144(C3xC12):14D4288,797
(C3×C12)⋊15D4 = C4×D6⋊S3φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12):15D4288,549
(C3×C12)⋊16D4 = C4×C3⋊D12φ: D4/C2 → C22 ⊆ Aut C3×C1248(C3xC12):16D4288,551
(C3×C12)⋊17D4 = C12⋊4D12φ: D4/C4 → C2 ⊆ Aut C3×C12144(C3xC12):17D4288,731
(C3×C12)⋊18D4 = C3×C4⋊D12φ: D4/C4 → C2 ⊆ Aut C3×C1296(C3xC12):18D4288,645
(C3×C12)⋊19D4 = C12×D12φ: D4/C4 → C2 ⊆ Aut C3×C1296(C3xC12):19D4288,644
(C3×C12)⋊20D4 = C4×C12⋊S3φ: D4/C4 → C2 ⊆ Aut C3×C12144(C3xC12):20D4288,730
(C3×C12)⋊21D4 = C32×C4⋊1D4φ: D4/C4 → C2 ⊆ Aut C3×C12144(C3xC12):21D4288,824
(C3×C12)⋊22D4 = C62⋊19D4φ: D4/C22 → C2 ⊆ Aut C3×C12144(C3xC12):22D4288,787
(C3×C12)⋊23D4 = C3×C12⋊7D4φ: D4/C22 → C2 ⊆ Aut C3×C1248(C3xC12):23D4288,701
(C3×C12)⋊24D4 = C12×C3⋊D4φ: D4/C22 → C2 ⊆ Aut C3×C1248(C3xC12):24D4288,699
(C3×C12)⋊25D4 = C4×C32⋊7D4φ: D4/C22 → C2 ⊆ Aut C3×C12144(C3xC12):25D4288,785
(C3×C12)⋊26D4 = C32×C4⋊D4φ: D4/C22 → C2 ⊆ Aut C3×C12144(C3xC12):26D4288,818

Non-split extensions G=N.Q with N=C3×C12 and Q=D4
extensionφ:Q→Aut NdρLabelID
(C3×C12).1D4 = C4.S3≀C2φ: D4/C1 → D4 ⊆ Aut C3×C12244(C3xC12).1D4288,375
(C3×C12).2D4 = (C3×C12).D4φ: D4/C1 → D4 ⊆ Aut C3×C12484(C3xC12).2D4288,376
(C3×C12).3D4 = C3⋊S3.2D8φ: D4/C1 → D4 ⊆ Aut C3×C12244(C3xC12).3D4288,377
(C3×C12).4D4 = C3⋊S3.2Q16φ: D4/C1 → D4 ⊆ Aut C3×C12484(C3xC12).4D4288,378
(C3×C12).5D4 = C32⋊D16φ: D4/C1 → D4 ⊆ Aut C3×C12488+(C3xC12).5D4288,382
(C3×C12).6D4 = C32⋊SD32φ: D4/C1 → D4 ⊆ Aut C3×C12488+(C3xC12).6D4288,383
(C3×C12).7D4 = C32⋊Q32φ: D4/C1 → D4 ⊆ Aut C3×C12968-(C3xC12).7D4288,384
(C3×C12).8D4 = S32⋊Q8φ: D4/C1 → D4 ⊆ Aut C3×C12244(C3xC12).8D4288,868
(C3×C12).9D4 = C4.4S3≀C2φ: D4/C1 → D4 ⊆ Aut C3×C12248+(C3xC12).9D4288,869
(C3×C12).10D4 = C32⋊C4⋊Q8φ: D4/C1 → D4 ⊆ Aut C3×C12488-(C3xC12).10D4288,870
(C3×C12).11D4 = C32⋊D8⋊C2φ: D4/C1 → D4 ⊆ Aut C3×C12244(C3xC12).11D4288,872
(C3×C12).12D4 = C3⋊S3⋊D8φ: D4/C1 → D4 ⊆ Aut C3×C12248+(C3xC12).12D4288,873
(C3×C12).13D4 = C32⋊Q16⋊C2φ: D4/C1 → D4 ⊆ Aut C3×C12484(C3xC12).13D4288,874
(C3×C12).14D4 = C3⋊S3⋊2SD16φ: D4/C1 → D4 ⊆ Aut C3×C12248+(C3xC12).14D4288,875
(C3×C12).15D4 = C3⋊S3⋊Q16φ: D4/C1 → D4 ⊆ Aut C3×C12488-(C3xC12).15D4288,876
(C3×C12).16D4 = S32⋊C8φ: D4/C1 → D4 ⊆ Aut C3×C12244(C3xC12).16D4288,374
(C3×C12).17D4 = C32⋊C4≀C2φ: D4/C1 → D4 ⊆ Aut C3×C12484(C3xC12).17D4288,379
(C3×C12).18D4 = C32⋊C4⋊C8φ: D4/C1 → D4 ⊆ Aut C3×C12484(C3xC12).18D4288,380
(C3×C12).19D4 = C4.19S3≀C2φ: D4/C1 → D4 ⊆ Aut C3×C12484(C3xC12).19D4288,381
(C3×C12).20D4 = C32⋊D8⋊5C2φ: D4/C1 → D4 ⊆ Aut C3×C12484(C3xC12).20D4288,871
(C3×C12).21D4 = C32⋊2D16φ: D4/C2 → C22 ⊆ Aut C3×C12964(C3xC12).21D4288,193
(C3×C12).22D4 = C3⋊D48φ: D4/C2 → C22 ⊆ Aut C3×C12484+(C3xC12).22D4288,194
(C3×C12).23D4 = D24.S3φ: D4/C2 → C22 ⊆ Aut C3×C12964(C3xC12).23D4288,195
(C3×C12).24D4 = C32⋊3SD32φ: D4/C2 → C22 ⊆ Aut C3×C12964-(C3xC12).24D4288,196
(C3×C12).25D4 = C24.49D6φ: D4/C2 → C22 ⊆ Aut C3×C12484+(C3xC12).25D4288,197
(C3×C12).26D4 = C32⋊2Q32φ: D4/C2 → C22 ⊆ Aut C3×C12964(C3xC12).26D4288,198
(C3×C12).27D4 = C32⋊3Q32φ: D4/C2 → C22 ⊆ Aut C3×C12964-(C3xC12).27D4288,199
(C3×C12).28D4 = C12.D12φ: D4/C2 → C22 ⊆ Aut C3×C12484(C3xC12).28D4288,206
(C3×C12).29D4 = C12.70D12φ: D4/C2 → C22 ⊆ Aut C3×C12244+(C3xC12).29D4288,207
(C3×C12).30D4 = C12.14D12φ: D4/C2 → C22 ⊆ Aut C3×C12484(C3xC12).30D4288,208
(C3×C12).31D4 = C12.71D12φ: D4/C2 → C22 ⊆ Aut C3×C12484-(C3xC12).31D4288,209
(C3×C12).32D4 = D12⋊3Dic3φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).32D4288,210
(C3×C12).33D4 = C6.16D24φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).33D4288,211
(C3×C12).34D4 = C6.17D24φ: D4/C2 → C22 ⊆ Aut C3×C1248(C3xC12).34D4288,212
(C3×C12).35D4 = Dic6⋊Dic3φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).35D4288,213
(C3×C12).36D4 = C6.Dic12φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).36D4288,214
(C3×C12).37D4 = C12.73D12φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).37D4288,215
(C3×C12).38D4 = C3×C6.D8φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).38D4288,243
(C3×C12).39D4 = C3×C6.SD16φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).39D4288,244
(C3×C12).40D4 = C3×C12.46D4φ: D4/C2 → C22 ⊆ Aut C3×C12484(C3xC12).40D4288,257
(C3×C12).41D4 = C3×C3⋊D16φ: D4/C2 → C22 ⊆ Aut C3×C12484(C3xC12).41D4288,260
(C3×C12).42D4 = C3×D8.S3φ: D4/C2 → C22 ⊆ Aut C3×C12484(C3xC12).42D4288,261
(C3×C12).43D4 = C3×C8.6D6φ: D4/C2 → C22 ⊆ Aut C3×C12964(C3xC12).43D4288,262
(C3×C12).44D4 = C3×C3⋊Q32φ: D4/C2 → C22 ⊆ Aut C3×C12964(C3xC12).44D4288,263
(C3×C12).45D4 = C3×D4⋊Dic3φ: D4/C2 → C22 ⊆ Aut C3×C1248(C3xC12).45D4288,266
(C3×C12).46D4 = C3×C12.D4φ: D4/C2 → C22 ⊆ Aut C3×C12244(C3xC12).46D4288,267
(C3×C12).47D4 = C3×Q8⋊2Dic3φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).47D4288,269
(C3×C12).48D4 = C3×C12.10D4φ: D4/C2 → C22 ⊆ Aut C3×C12484(C3xC12).48D4288,270
(C3×C12).49D4 = C62.113D4φ: D4/C2 → C22 ⊆ Aut C3×C12144(C3xC12).49D4288,284
(C3×C12).50D4 = C62.114D4φ: D4/C2 → C22 ⊆ Aut C3×C12288(C3xC12).50D4288,285
(C3×C12).51D4 = C12.19D12φ: D4/C2 → C22 ⊆ Aut C3×C1272(C3xC12).51D4288,298
(C3×C12).52D4 = C32⋊7D16φ: D4/C2 → C22 ⊆ Aut C3×C12144(C3xC12).52D4288,301
(C3×C12).53D4 = C32⋊8SD32φ: D4/C2 → C22 ⊆ Aut C3×C12144(C3xC12).53D4288,302
(C3×C12).54D4 = C32⋊10SD32φ: D4/C2 → C22 ⊆ Aut C3×C12144(C3xC12).54D4288,303
(C3×C12).55D4 = C32⋊7Q32φ: D4/C2 → C22 ⊆ Aut C3×C12288(C3xC12).55D4288,304
(C3×C12).56D4 = C62.116D4φ: D4/C2 → C22 ⊆ Aut C3×C12144(C3xC12).56D4288,307
(C3×C12).57D4 = (C6×D4).S3φ: D4/C2 → C22 ⊆ Aut C3×C1272(C3xC12).57D4288,308
(C3×C12).58D4 = C62.117D4φ: D4/C2 → C22 ⊆ Aut C3×C12288(C3xC12).58D4288,310
(C3×C12).59D4 = (C6×C12).C4φ: D4/C2 → C22 ⊆ Aut C3×C12144(C3xC12).59D4288,311
(C3×C12).60D4 = C2×C32⋊2D8φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).60D4288,469
(C3×C12).61D4 = D12⋊20D6φ: D4/C2 → C22 ⊆ Aut C3×C12484(C3xC12).61D4288,471
(C3×C12).62D4 = C2×C3⋊D24φ: D4/C2 → C22 ⊆ Aut C3×C1248(C3xC12).62D4288,472
(C3×C12).63D4 = D12⋊18D6φ: D4/C2 → C22 ⊆ Aut C3×C12244+(C3xC12).63D4288,473
(C3×C12).64D4 = C2×Dic6⋊S3φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).64D4288,474
(C3×C12).65D4 = D12.32D6φ: D4/C2 → C22 ⊆ Aut C3×C12484(C3xC12).65D4288,475
(C3×C12).66D4 = C2×D12.S3φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).66D4288,476
(C3×C12).67D4 = D12.28D6φ: D4/C2 → C22 ⊆ Aut C3×C12484(C3xC12).67D4288,478
(C3×C12).68D4 = D12.29D6φ: D4/C2 → C22 ⊆ Aut C3×C12484-(C3xC12).68D4288,479
(C3×C12).69D4 = C2×C32⋊5SD16φ: D4/C2 → C22 ⊆ Aut C3×C1248(C3xC12).69D4288,480
(C3×C12).70D4 = Dic6.29D6φ: D4/C2 → C22 ⊆ Aut C3×C12484(C3xC12).70D4288,481
(C3×C12).71D4 = C2×C32⋊2Q16φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).71D4288,482
(C3×C12).72D4 = C2×C32⋊3Q16φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).72D4288,483
(C3×C12).73D4 = D6⋊6Dic6φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).73D4288,504
(C3×C12).74D4 = D6⋊7Dic6φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).74D4288,505
(C3×C12).75D4 = C12.27D12φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).75D4288,508
(C3×C12).76D4 = C62.33C23φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).76D4288,511
(C3×C12).77D4 = C12.28D12φ: D4/C2 → C22 ⊆ Aut C3×C1248(C3xC12).77D4288,512
(C3×C12).78D4 = Dic3⋊Dic6φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).78D4288,514
(C3×C12).79D4 = C12.30D12φ: D4/C2 → C22 ⊆ Aut C3×C1248(C3xC12).79D4288,519
(C3×C12).80D4 = C62.43C23φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).80D4288,521
(C3×C12).81D4 = C3×C4.D12φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).81D4288,668
(C3×C12).82D4 = C3×C8⋊D6φ: D4/C2 → C22 ⊆ Aut C3×C12484(C3xC12).82D4288,679
(C3×C12).83D4 = C3×C8.D6φ: D4/C2 → C22 ⊆ Aut C3×C12484(C3xC12).83D4288,680
(C3×C12).84D4 = C6×D4⋊S3φ: D4/C2 → C22 ⊆ Aut C3×C1248(C3xC12).84D4288,702
(C3×C12).85D4 = C3×D12⋊6C22φ: D4/C2 → C22 ⊆ Aut C3×C12244(C3xC12).85D4288,703
(C3×C12).86D4 = C6×D4.S3φ: D4/C2 → C22 ⊆ Aut C3×C1248(C3xC12).86D4288,704
(C3×C12).87D4 = C3×C23.12D6φ: D4/C2 → C22 ⊆ Aut C3×C1248(C3xC12).87D4288,707
(C3×C12).88D4 = C6×Q8⋊2S3φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).88D4288,712
(C3×C12).89D4 = C3×Q8.11D6φ: D4/C2 → C22 ⊆ Aut C3×C12484(C3xC12).89D4288,713
(C3×C12).90D4 = C6×C3⋊Q16φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).90D4288,714
(C3×C12).91D4 = C3×Dic3⋊Q8φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).91D4288,715
(C3×C12).92D4 = C3×D6⋊3Q8φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).92D4288,717
(C3×C12).93D4 = C3×C12.23D4φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).93D4288,718
(C3×C12).94D4 = C12.31D12φ: D4/C2 → C22 ⊆ Aut C3×C12144(C3xC12).94D4288,754
(C3×C12).95D4 = C24⋊3D6φ: D4/C2 → C22 ⊆ Aut C3×C1272(C3xC12).95D4288,765
(C3×C12).96D4 = C24.5D6φ: D4/C2 → C22 ⊆ Aut C3×C12144(C3xC12).96D4288,766
(C3×C12).97D4 = C2×C32⋊7D8φ: D4/C2 → C22 ⊆ Aut C3×C12144(C3xC12).97D4288,788
(C3×C12).98D4 = C62.131D4φ: D4/C2 → C22 ⊆ Aut C3×C1272(C3xC12).98D4288,789
(C3×C12).99D4 = C2×C32⋊9SD16φ: D4/C2 → C22 ⊆ Aut C3×C12144(C3xC12).99D4288,790
(C3×C12).100D4 = C62.254C23φ: D4/C2 → C22 ⊆ Aut C3×C12144(C3xC12).100D4288,793
(C3×C12).101D4 = C2×C32⋊11SD16φ: D4/C2 → C22 ⊆ Aut C3×C12144(C3xC12).101D4288,798
(C3×C12).102D4 = C62.134D4φ: D4/C2 → C22 ⊆ Aut C3×C12144(C3xC12).102D4288,799
(C3×C12).103D4 = C2×C32⋊7Q16φ: D4/C2 → C22 ⊆ Aut C3×C12288(C3xC12).103D4288,800
(C3×C12).104D4 = C62.259C23φ: D4/C2 → C22 ⊆ Aut C3×C12288(C3xC12).104D4288,801
(C3×C12).105D4 = C62.261C23φ: D4/C2 → C22 ⊆ Aut C3×C12144(C3xC12).105D4288,803
(C3×C12).106D4 = C62.262C23φ: D4/C2 → C22 ⊆ Aut C3×C12144(C3xC12).106D4288,804
(C3×C12).107D4 = C12.77D12φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).107D4288,204
(C3×C12).108D4 = C12.78D12φ: D4/C2 → C22 ⊆ Aut C3×C1248(C3xC12).108D4288,205
(C3×C12).109D4 = D12⋊4Dic3φ: D4/C2 → C22 ⊆ Aut C3×C12244(C3xC12).109D4288,216
(C3×C12).110D4 = D12⋊2Dic3φ: D4/C2 → C22 ⊆ Aut C3×C12484(C3xC12).110D4288,217
(C3×C12).111D4 = C12.80D12φ: D4/C2 → C22 ⊆ Aut C3×C12484(C3xC12).111D4288,218
(C3×C12).112D4 = C12.81D12φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).112D4288,219
(C3×C12).113D4 = C12.15Dic6φ: D4/C2 → C22 ⊆ Aut C3×C1296(C3xC12).113D4288,220
(C3×C12).114D4 = C12.82D12φ: D4/C2 → C22 ⊆ Aut C3×C12484(C3xC12).114D4288,225
(C3×C12).115D4 = C62.5Q8φ: D4/C2 → C22 ⊆ Aut C3×C12484(C3xC12).115D4288,226
(C3×C12).116D4 = D12.30D6φ: D4/C2 → C22 ⊆ Aut C3×C12484(C3xC12).116D4288,470
(C3×C12).117D4 = D12.27D6φ: D4/C2 → C22 ⊆ Aut C3×C12484(C3xC12).117D4288,477
(C3×C12).118D4 = C32⋊5D16φ: D4/C4 → C2 ⊆ Aut C3×C12144(C3xC12).118D4288,274
(C3×C12).119D4 = C6.D24φ: D4/C4 → C2 ⊆ Aut C3×C12144(C3xC12).119D4288,275
(C3×C12).120D4 = C32⋊5Q32φ: D4/C4 → C2 ⊆ Aut C3×C12288(C3xC12).120D4288,276
(C3×C12).121D4 = C12⋊6Dic6φ: D4/C4 → C2 ⊆ Aut C3×C12288(C3xC12).121D4288,726
(C3×C12).122D4 = C122⋊6C2φ: D4/C4 → C2 ⊆ Aut C3×C12144(C3xC12).122D4288,732
(C3×C12).123D4 = C2×C24⋊2S3φ: D4/C4 → C2 ⊆ Aut C3×C12144(C3xC12).123D4288,759
(C3×C12).124D4 = C2×C32⋊5D8φ: D4/C4 → C2 ⊆ Aut C3×C12144(C3xC12).124D4288,760
(C3×C12).125D4 = C2×C32⋊5Q16φ: D4/C4 → C2 ⊆ Aut C3×C12288(C3xC12).125D4288,762
(C3×C12).126D4 = C3×D48φ: D4/C4 → C2 ⊆ Aut C3×C12962(C3xC12).126D4288,233
(C3×C12).127D4 = C3×C48⋊C2φ: D4/C4 → C2 ⊆ Aut C3×C12962(C3xC12).127D4288,234
(C3×C12).128D4 = C3×Dic24φ: D4/C4 → C2 ⊆ Aut C3×C12962(C3xC12).128D4288,235
(C3×C12).129D4 = C3×C12⋊2Q8φ: D4/C4 → C2 ⊆ Aut C3×C1296(C3xC12).129D4288,640
(C3×C12).130D4 = C3×C42⋊7S3φ: D4/C4 → C2 ⊆ Aut C3×C1296(C3xC12).130D4288,646
(C3×C12).131D4 = C6×C24⋊C2φ: D4/C4 → C2 ⊆ Aut C3×C1296(C3xC12).131D4288,673
(C3×C12).132D4 = C6×D24φ: D4/C4 → C2 ⊆ Aut C3×C1296(C3xC12).132D4288,674
(C3×C12).133D4 = C6×Dic12φ: D4/C4 → C2 ⊆ Aut C3×C1296(C3xC12).133D4288,676
(C3×C12).134D4 = C3×C12⋊C8φ: D4/C4 → C2 ⊆ Aut C3×C1296(C3xC12).134D4288,238
(C3×C12).135D4 = C3×C42⋊4S3φ: D4/C4 → C2 ⊆ Aut C3×C12242(C3xC12).135D4288,239
(C3×C12).136D4 = C3×C24.C4φ: D4/C4 → C2 ⊆ Aut C3×C12482(C3xC12).136D4288,253
(C3×C12).137D4 = C12.57D12φ: D4/C4 → C2 ⊆ Aut C3×C12288(C3xC12).137D4288,279
(C3×C12).138D4 = C122⋊C2φ: D4/C4 → C2 ⊆ Aut C3×C1272(C3xC12).138D4288,280
(C3×C12).139D4 = C12.59D12φ: D4/C4 → C2 ⊆ Aut C3×C12144(C3xC12).139D4288,294
(C3×C12).140D4 = C3×C4○D24φ: D4/C4 → C2 ⊆ Aut C3×C12482(C3xC12).140D4288,675
(C3×C12).141D4 = C24.78D6φ: D4/C4 → C2 ⊆ Aut C3×C12144(C3xC12).141D4288,761
(C3×C12).142D4 = C32×D16φ: D4/C4 → C2 ⊆ Aut C3×C12144(C3xC12).142D4288,329
(C3×C12).143D4 = C32×SD32φ: D4/C4 → C2 ⊆ Aut C3×C12144(C3xC12).143D4288,330
(C3×C12).144D4 = C32×Q32φ: D4/C4 → C2 ⊆ Aut C3×C12288(C3xC12).144D4288,331
(C3×C12).145D4 = C32×C4.4D4φ: D4/C4 → C2 ⊆ Aut C3×C12144(C3xC12).145D4288,821
(C3×C12).146D4 = C32×C4⋊Q8φ: D4/C4 → C2 ⊆ Aut C3×C12288(C3xC12).146D4288,825
(C3×C12).147D4 = D8×C3×C6φ: D4/C4 → C2 ⊆ Aut C3×C12144(C3xC12).147D4288,829
(C3×C12).148D4 = SD16×C3×C6φ: D4/C4 → C2 ⊆ Aut C3×C12144(C3xC12).148D4288,830
(C3×C12).149D4 = Q16×C3×C6φ: D4/C4 → C2 ⊆ Aut C3×C12288(C3xC12).149D4288,831
(C3×C12).150D4 = C6.4Dic12φ: D4/C22 → C2 ⊆ Aut C3×C12288(C3xC12).150D4288,291
(C3×C12).151D4 = C62.84D4φ: D4/C22 → C2 ⊆ Aut C3×C12144(C3xC12).151D4288,296
(C3×C12).152D4 = C12.20D12φ: D4/C22 → C2 ⊆ Aut C3×C12144(C3xC12).152D4288,299
(C3×C12).153D4 = C62⋊10Q8φ: D4/C22 → C2 ⊆ Aut C3×C12144(C3xC12).153D4288,781
(C3×C12).154D4 = C62.73D4φ: D4/C22 → C2 ⊆ Aut C3×C1272(C3xC12).154D4288,806
(C3×C12).155D4 = C62.75D4φ: D4/C22 → C2 ⊆ Aut C3×C12144(C3xC12).155D4288,808
(C3×C12).156D4 = C3×C2.Dic12φ: D4/C22 → C2 ⊆ Aut C3×C1296(C3xC12).156D4288,250
(C3×C12).157D4 = C3×C2.D24φ: D4/C22 → C2 ⊆ Aut C3×C1296(C3xC12).157D4288,255
(C3×C12).158D4 = C3×C12.47D4φ: D4/C22 → C2 ⊆ Aut C3×C12484(C3xC12).158D4288,258
(C3×C12).159D4 = C3×C12.48D4φ: D4/C22 → C2 ⊆ Aut C3×C1248(C3xC12).159D4288,695
(C3×C12).160D4 = C3×D4⋊D6φ: D4/C22 → C2 ⊆ Aut C3×C12484(C3xC12).160D4288,720
(C3×C12).161D4 = C3×Q8.14D6φ: D4/C22 → C2 ⊆ Aut C3×C12484(C3xC12).161D4288,722
(C3×C12).162D4 = C3×Dic3⋊C8φ: D4/C22 → C2 ⊆ Aut C3×C1296(C3xC12).162D4288,248
(C3×C12).163D4 = C3×D6⋊C8φ: D4/C22 → C2 ⊆ Aut C3×C1296(C3xC12).163D4288,254
(C3×C12).164D4 = C3×C12.53D4φ: D4/C22 → C2 ⊆ Aut C3×C12484(C3xC12).164D4288,256
(C3×C12).165D4 = C3×D12⋊C4φ: D4/C22 → C2 ⊆ Aut C3×C12484(C3xC12).165D4288,259
(C3×C12).166D4 = C3×C12.55D4φ: D4/C22 → C2 ⊆ Aut C3×C1248(C3xC12).166D4288,264
(C3×C12).167D4 = C3×Q8⋊3Dic3φ: D4/C22 → C2 ⊆ Aut C3×C12484(C3xC12).167D4288,271
(C3×C12).168D4 = C12.30Dic6φ: D4/C22 → C2 ⊆ Aut C3×C12288(C3xC12).168D4288,289
(C3×C12).169D4 = C12.60D12φ: D4/C22 → C2 ⊆ Aut C3×C12144(C3xC12).169D4288,295
(C3×C12).170D4 = C62.8Q8φ: D4/C22 → C2 ⊆ Aut C3×C12144(C3xC12).170D4288,297
(C3×C12).171D4 = C62.37D4φ: D4/C22 → C2 ⊆ Aut C3×C1272(C3xC12).171D4288,300
(C3×C12).172D4 = C62⋊7C8φ: D4/C22 → C2 ⊆ Aut C3×C12144(C3xC12).172D4288,305
(C3×C12).173D4 = C62.39D4φ: D4/C22 → C2 ⊆ Aut C3×C1272(C3xC12).173D4288,312
(C3×C12).174D4 = C3×Q8.13D6φ: D4/C22 → C2 ⊆ Aut C3×C12484(C3xC12).174D4288,721
(C3×C12).175D4 = C62.74D4φ: D4/C22 → C2 ⊆ Aut C3×C12144(C3xC12).175D4288,807
(C3×C12).176D4 = C32×C4.D4φ: D4/C22 → C2 ⊆ Aut C3×C1272(C3xC12).176D4288,318
(C3×C12).177D4 = C32×C4.10D4φ: D4/C22 → C2 ⊆ Aut C3×C12144(C3xC12).177D4288,319
(C3×C12).178D4 = C32×D4⋊C4φ: D4/C22 → C2 ⊆ Aut C3×C12144(C3xC12).178D4288,320
(C3×C12).179D4 = C32×Q8⋊C4φ: D4/C22 → C2 ⊆ Aut C3×C12288(C3xC12).179D4288,321
(C3×C12).180D4 = C32×C22⋊Q8φ: D4/C22 → C2 ⊆ Aut C3×C12144(C3xC12).180D4288,819
(C3×C12).181D4 = C32×C8⋊C22φ: D4/C22 → C2 ⊆ Aut C3×C1272(C3xC12).181D4288,833
(C3×C12).182D4 = C32×C8.C22φ: D4/C22 → C2 ⊆ Aut C3×C12144(C3xC12).182D4288,834
(C3×C12).183D4 = C32×C22⋊C8central extension (φ=1)144(C3xC12).183D4288,316
(C3×C12).184D4 = C32×C4≀C2central extension (φ=1)72(C3xC12).184D4288,322
(C3×C12).185D4 = C32×C4⋊C8central extension (φ=1)288(C3xC12).185D4288,323
(C3×C12).186D4 = C32×C8.C4central extension (φ=1)144(C3xC12).186D4288,326
(C3×C12).187D4 = C32×C4○D8central extension (φ=1)144(C3xC12).187D4288,832

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