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Extensions 1→N→G→Q→1 with N=C6×D5 and Q=D4

Direct product G=N×Q with N=C6×D5 and Q=D4
dρLabelID
C6×D4×D5120C6xD4xD5480,1139

Semidirect products G=N:Q with N=C6×D5 and Q=D4
extensionφ:Q→Out NdρLabelID
(C6×D5)⋊1D4 = Dic15⋊D4φ: D4/C2 → C22 ⊆ Out C6×D5240(C6xD5):1D4480,484
(C6×D5)⋊2D4 = Dic3⋊D20φ: D4/C2 → C22 ⊆ Out C6×D5240(C6xD5):2D4480,485
(C6×D5)⋊3D4 = D6⋊4D20φ: D4/C2 → C22 ⊆ Out C6×D5120(C6xD5):3D4480,550
(C6×D5)⋊4D4 = D30⋊4D4φ: D4/C2 → C22 ⊆ Out C6×D5120(C6xD5):4D4480,551
(C6×D5)⋊5D4 = D30⋊5D4φ: D4/C2 → C22 ⊆ Out C6×D5120(C6xD5):5D4480,552
(C6×D5)⋊6D4 = (C6×D5)⋊D4φ: D4/C2 → C22 ⊆ Out C6×D5240(C6xD5):6D4480,625
(C6×D5)⋊7D4 = Dic15⋊3D4φ: D4/C2 → C22 ⊆ Out C6×D5240(C6xD5):7D4480,626
(C6×D5)⋊8D4 = D30⋊8D4φ: D4/C2 → C22 ⊆ Out C6×D5120(C6xD5):8D4480,653
(C6×D5)⋊9D4 = D10⋊D12φ: D4/C4 → C2 ⊆ Out C6×D5240(C6xD5):9D4480,524
(C6×D5)⋊10D4 = C60⋊D4φ: D4/C4 → C2 ⊆ Out C6×D5240(C6xD5):10D4480,525
(C6×D5)⋊11D4 = C12⋊7D20φ: D4/C4 → C2 ⊆ Out C6×D5240(C6xD5):11D4480,526
(C6×D5)⋊12D4 = C2×D5×D12φ: D4/C4 → C2 ⊆ Out C6×D5120(C6xD5):12D4480,1087
(C6×D5)⋊13D4 = C3×D10⋊D4φ: D4/C4 → C2 ⊆ Out C6×D5240(C6xD5):13D4480,677
(C6×D5)⋊14D4 = C3×C4⋊D20φ: D4/C4 → C2 ⊆ Out C6×D5240(C6xD5):14D4480,688
(C6×D5)⋊15D4 = C3×C20⋊2D4φ: D4/C4 → C2 ⊆ Out C6×D5240(C6xD5):15D4480,731
(C6×D5)⋊16D4 = (C2×C30)⋊D4φ: D4/C22 → C2 ⊆ Out C6×D5120(C6xD5):16D4480,639
(C6×D5)⋊17D4 = (C2×C6)⋊8D20φ: D4/C22 → C2 ⊆ Out C6×D5120(C6xD5):17D4480,640
(C6×D5)⋊18D4 = C2×D5×C3⋊D4φ: D4/C22 → C2 ⊆ Out C6×D5120(C6xD5):18D4480,1122
(C6×D5)⋊19D4 = C3×C22⋊D20φ: D4/C22 → C2 ⊆ Out C6×D5120(C6xD5):19D4480,675
(C6×D5)⋊20D4 = C3×C23⋊D10φ: D4/C22 → C2 ⊆ Out C6×D5120(C6xD5):20D4480,730

Non-split extensions G=N.Q with N=C6×D5 and Q=D4
extensionφ:Q→Out NdρLabelID
(C6×D5).1D4 = C24⋊D10φ: D4/C2 → C22 ⊆ Out C6×D51204+(C6xD5).1D4480,325
(C6×D5).2D4 = D24⋊D5φ: D4/C2 → C22 ⊆ Out C6×D51204(C6xD5).2D4480,326
(C6×D5).3D4 = Dic60⋊C2φ: D4/C2 → C22 ⊆ Out C6×D52404-(C6xD5).3D4480,336
(C6×D5).4D4 = C24.2D10φ: D4/C2 → C22 ⊆ Out C6×D52404(C6xD5).4D4480,337
(C6×D5).5D4 = (C6×D5).D4φ: D4/C2 → C22 ⊆ Out C6×D5240(C6xD5).5D4480,483
(C6×D5).6D4 = D10.16D12φ: D4/C2 → C22 ⊆ Out C6×D5240(C6xD5).6D4480,489
(C6×D5).7D4 = D10.17D12φ: D4/C2 → C22 ⊆ Out C6×D5240(C6xD5).7D4480,490
(C6×D5).8D4 = Dic10⋊3D6φ: D4/C2 → C22 ⊆ Out C6×D51208+(C6xD5).8D4480,554
(C6×D5).9D4 = C60.8C23φ: D4/C2 → C22 ⊆ Out C6×D52408-(C6xD5).9D4480,560
(C6×D5).10D4 = D12.24D10φ: D4/C2 → C22 ⊆ Out C6×D52408-(C6xD5).10D4480,566
(C6×D5).11D4 = C60.16C23φ: D4/C2 → C22 ⊆ Out C6×D52408+(C6xD5).11D4480,568
(C6×D5).12D4 = D20⋊D6φ: D4/C2 → C22 ⊆ Out C6×D51208+(C6xD5).12D4480,578
(C6×D5).13D4 = D20.13D6φ: D4/C2 → C22 ⊆ Out C6×D52408-(C6xD5).13D4480,584
(C6×D5).14D4 = D20.14D6φ: D4/C2 → C22 ⊆ Out C6×D52408-(C6xD5).14D4480,590
(C6×D5).15D4 = D20.D6φ: D4/C2 → C22 ⊆ Out C6×D52408+(C6xD5).15D4480,592
(C6×D5).16D4 = C23.17(S3×D5)φ: D4/C2 → C22 ⊆ Out C6×D5240(C6xD5).16D4480,624
(C6×D5).17D4 = D60⋊C4φ: D4/C2 → C22 ⊆ Out C6×D51208+(C6xD5).17D4480,227
(C6×D5).18D4 = D12⋊F5φ: D4/C2 → C22 ⊆ Out C6×D51208+(C6xD5).18D4480,228
(C6×D5).19D4 = Dic6⋊F5φ: D4/C2 → C22 ⊆ Out C6×D51208-(C6xD5).19D4480,229
(C6×D5).20D4 = Dic30⋊C4φ: D4/C2 → C22 ⊆ Out C6×D51208-(C6xD5).20D4480,230
(C6×D5).21D4 = D12⋊4F5φ: D4/C2 → C22 ⊆ Out C6×D51208-(C6xD5).21D4480,231
(C6×D5).22D4 = D12⋊2F5φ: D4/C2 → C22 ⊆ Out C6×D51208-(C6xD5).22D4480,232
(C6×D5).23D4 = D60⋊2C4φ: D4/C2 → C22 ⊆ Out C6×D51208+(C6xD5).23D4480,233
(C6×D5).24D4 = D60⋊5C4φ: D4/C2 → C22 ⊆ Out C6×D51208+(C6xD5).24D4480,234
(C6×D5).25D4 = Dic5.Dic6φ: D4/C2 → C22 ⊆ Out C6×D51208(C6xD5).25D4480,235
(C6×D5).26D4 = Dic5.4Dic6φ: D4/C2 → C22 ⊆ Out C6×D51208(C6xD5).26D4480,236
(C6×D5).27D4 = D10.20D12φ: D4/C2 → C22 ⊆ Out C6×D5120(C6xD5).27D4480,243
(C6×D5).28D4 = D10.D12φ: D4/C2 → C22 ⊆ Out C6×D51208-(C6xD5).28D4480,248
(C6×D5).29D4 = D10.4D12φ: D4/C2 → C22 ⊆ Out C6×D51208+(C6xD5).29D4480,249
(C6×D5).30D4 = C2×D6⋊F5φ: D4/C2 → C22 ⊆ Out C6×D5120(C6xD5).30D4480,1000
(C6×D5).31D4 = C2×Dic3⋊F5φ: D4/C2 → C22 ⊆ Out C6×D5120(C6xD5).31D4480,1001
(C6×D5).32D4 = (C2×C60)⋊C4φ: D4/C2 → C22 ⊆ Out C6×D51204(C6xD5).32D4480,304
(C6×D5).33D4 = Dic10⋊Dic3φ: D4/C2 → C22 ⊆ Out C6×D51208(C6xD5).33D4480,313
(C6×D5).34D4 = D20⋊2Dic3φ: D4/C2 → C22 ⊆ Out C6×D51208(C6xD5).34D4480,315
(C6×D5).35D4 = C3⋊(C23⋊F5)φ: D4/C2 → C22 ⊆ Out C6×D51204(C6xD5).35D4480,316
(C6×D5).36D4 = C3×D10.D4φ: D4/C2 → C22 ⊆ Out C6×D51204(C6xD5).36D4480,279
(C6×D5).37D4 = C3×D4⋊F5φ: D4/C2 → C22 ⊆ Out C6×D51208(C6xD5).37D4480,288
(C6×D5).38D4 = C3×Q8⋊2F5φ: D4/C2 → C22 ⊆ Out C6×D51208(C6xD5).38D4480,290
(C6×D5).39D4 = C3×C23⋊F5φ: D4/C2 → C22 ⊆ Out C6×D51204(C6xD5).39D4480,291
(C6×D5).40D4 = D5×C24⋊C2φ: D4/C4 → C2 ⊆ Out C6×D51204(C6xD5).40D4480,323
(C6×D5).41D4 = D5×D24φ: D4/C4 → C2 ⊆ Out C6×D51204+(C6xD5).41D4480,324
(C6×D5).42D4 = D5×Dic12φ: D4/C4 → C2 ⊆ Out C6×D52404-(C6xD5).42D4480,335
(C6×D5).43D4 = C40.31D6φ: D4/C4 → C2 ⊆ Out C6×D52404(C6xD5).43D4480,345
(C6×D5).44D4 = D24⋊7D5φ: D4/C4 → C2 ⊆ Out C6×D52404-(C6xD5).44D4480,346
(C6×D5).45D4 = D120⋊C2φ: D4/C4 → C2 ⊆ Out C6×D52404+(C6xD5).45D4480,347
(C6×D5).46D4 = D5×C4⋊Dic3φ: D4/C4 → C2 ⊆ Out C6×D5240(C6xD5).46D4480,488
(C6×D5).47D4 = D5×D6⋊C4φ: D4/C4 → C2 ⊆ Out C6×D5120(C6xD5).47D4480,547
(C6×D5).48D4 = C3×D8⋊3D5φ: D4/C4 → C2 ⊆ Out C6×D52404(C6xD5).48D4480,705
(C6×D5).49D4 = C3×SD16⋊3D5φ: D4/C4 → C2 ⊆ Out C6×D52404(C6xD5).49D4480,709
(C6×D5).50D4 = C3×Q8.D10φ: D4/C4 → C2 ⊆ Out C6×D52404(C6xD5).50D4480,712
(C6×D5).51D4 = C120⋊C4φ: D4/C4 → C2 ⊆ Out C6×D51204(C6xD5).51D4480,298
(C6×D5).52D4 = D5.D24φ: D4/C4 → C2 ⊆ Out C6×D51204(C6xD5).52D4480,299
(C6×D5).53D4 = C2×C60⋊C4φ: D4/C4 → C2 ⊆ Out C6×D5120(C6xD5).53D4480,1064
(C6×D5).54D4 = C3×C40⋊C4φ: D4/C4 → C2 ⊆ Out C6×D51204(C6xD5).54D4480,273
(C6×D5).55D4 = C3×D5.D8φ: D4/C4 → C2 ⊆ Out C6×D51204(C6xD5).55D4480,274
(C6×D5).56D4 = C6×C4⋊F5φ: D4/C4 → C2 ⊆ Out C6×D5120(C6xD5).56D4480,1051
(C6×D5).57D4 = Dic3⋊C4⋊D5φ: D4/C22 → C2 ⊆ Out C6×D5240(C6xD5).57D4480,424
(C6×D5).58D4 = D5×Dic3⋊C4φ: D4/C22 → C2 ⊆ Out C6×D5240(C6xD5).58D4480,468
(C6×D5).59D4 = D6⋊C4⋊D5φ: D4/C22 → C2 ⊆ Out C6×D5240(C6xD5).59D4480,523
(C6×D5).60D4 = D5×D4⋊S3φ: D4/C22 → C2 ⊆ Out C6×D51208+(C6xD5).60D4480,553
(C6×D5).61D4 = D5×D4.S3φ: D4/C22 → C2 ⊆ Out C6×D51208-(C6xD5).61D4480,559
(C6×D5).62D4 = D12⋊10D10φ: D4/C22 → C2 ⊆ Out C6×D51208-(C6xD5).62D4480,565
(C6×D5).63D4 = D20.9D6φ: D4/C22 → C2 ⊆ Out C6×D51208+(C6xD5).63D4480,567
(C6×D5).64D4 = D5×Q8⋊2S3φ: D4/C22 → C2 ⊆ Out C6×D51208+(C6xD5).64D4480,577
(C6×D5).65D4 = D5×C3⋊Q16φ: D4/C22 → C2 ⊆ Out C6×D52408-(C6xD5).65D4480,583
(C6×D5).66D4 = D12.27D10φ: D4/C22 → C2 ⊆ Out C6×D52408-(C6xD5).66D4480,589
(C6×D5).67D4 = C60.39C23φ: D4/C22 → C2 ⊆ Out C6×D52408+(C6xD5).67D4480,591
(C6×D5).68D4 = D5×C6.D4φ: D4/C22 → C2 ⊆ Out C6×D5120(C6xD5).68D4480,623
(C6×D5).69D4 = C3×D10.12D4φ: D4/C22 → C2 ⊆ Out C6×D5240(C6xD5).69D4480,676
(C6×D5).70D4 = C3×D10.13D4φ: D4/C22 → C2 ⊆ Out C6×D5240(C6xD5).70D4480,687
(C6×D5).71D4 = C3×D8⋊D5φ: D4/C22 → C2 ⊆ Out C6×D51204(C6xD5).71D4480,704
(C6×D5).72D4 = C3×D40⋊C2φ: D4/C22 → C2 ⊆ Out C6×D51204(C6xD5).72D4480,707
(C6×D5).73D4 = C3×SD16⋊D5φ: D4/C22 → C2 ⊆ Out C6×D52404(C6xD5).73D4480,708
(C6×D5).74D4 = C3×Q16⋊D5φ: D4/C22 → C2 ⊆ Out C6×D52404(C6xD5).74D4480,711
(C6×D5).75D4 = D10.10D12φ: D4/C22 → C2 ⊆ Out C6×D5120(C6xD5).75D4480,311
(C6×D5).76D4 = D20⋊Dic3φ: D4/C22 → C2 ⊆ Out C6×D51208(C6xD5).76D4480,312
(C6×D5).77D4 = Dic10⋊2Dic3φ: D4/C22 → C2 ⊆ Out C6×D51208(C6xD5).77D4480,314
(C6×D5).78D4 = C2×D10.D6φ: D4/C22 → C2 ⊆ Out C6×D5120(C6xD5).78D4480,1072
(C6×D5).79D4 = C3×D10.3Q8φ: D4/C22 → C2 ⊆ Out C6×D5120(C6xD5).79D4480,286
(C6×D5).80D4 = C3×D20⋊C4φ: D4/C22 → C2 ⊆ Out C6×D51208(C6xD5).80D4480,287
(C6×D5).81D4 = C3×Q8⋊F5φ: D4/C22 → C2 ⊆ Out C6×D51208(C6xD5).81D4480,289
(C6×D5).82D4 = C6×C22⋊F5φ: D4/C22 → C2 ⊆ Out C6×D5120(C6xD5).82D4480,1059
(C6×D5).83D4 = C3×D5×C22⋊C4φ: trivial image120(C6xD5).83D4480,673
(C6×D5).84D4 = C3×D5×C4⋊C4φ: trivial image240(C6xD5).84D4480,684
(C6×D5).85D4 = C3×D5×D8φ: trivial image1204(C6xD5).85D4480,703
(C6×D5).86D4 = C3×D5×SD16φ: trivial image1204(C6xD5).86D4480,706
(C6×D5).87D4 = C3×D5×Q16φ: trivial image2404(C6xD5).87D4480,710

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