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Extensions 1→N→G→Q→1 with N=C3⋊C8 and Q=D4

Direct product G=N×Q with N=C3⋊C8 and Q=D4
dρLabelID
D4×C3⋊C896D4xC3:C8192,569

Semidirect products G=N:Q with N=C3⋊C8 and Q=D4
extensionφ:Q→Out NdρLabelID
C3⋊C8⋊1D4 = C3⋊C8⋊1D4φ: D4/C2 → C22 ⊆ Out C3⋊C896C3:C8:1D4192,339
C3⋊C8⋊2D4 = C3⋊C8⋊D4φ: D4/C2 → C22 ⊆ Out C3⋊C896C3:C8:2D4192,341
C3⋊C8⋊3D4 = C3⋊(C8⋊D4)φ: D4/C2 → C22 ⊆ Out C3⋊C896C3:C8:3D4192,371
C3⋊C8⋊4D4 = C4⋊D4⋊S3φ: D4/C2 → C22 ⊆ Out C3⋊C896C3:C8:4D4192,598
C3⋊C8⋊5D4 = C3⋊C8⋊5D4φ: D4/C2 → C22 ⊆ Out C3⋊C896C3:C8:5D4192,601
C3⋊C8⋊6D4 = C3⋊C8⋊6D4φ: D4/C2 → C22 ⊆ Out C3⋊C896C3:C8:6D4192,608
C3⋊C8⋊7D4 = C42.64D6φ: D4/C2 → C22 ⊆ Out C3⋊C896C3:C8:7D4192,617
C3⋊C8⋊8D4 = C42.74D6φ: D4/C2 → C22 ⊆ Out C3⋊C896C3:C8:8D4192,633
C3⋊C8⋊9D4 = C24⋊11D4φ: D4/C2 → C22 ⊆ Out C3⋊C896C3:C8:9D4192,713
C3⋊C8⋊10D4 = C24⋊9D4φ: D4/C2 → C22 ⊆ Out C3⋊C896C3:C8:10D4192,735
C3⋊C8⋊11D4 = C12⋊D8φ: D4/C4 → C2 ⊆ Out C3⋊C896C3:C8:11D4192,632
C3⋊C8⋊12D4 = C12⋊4SD16φ: D4/C4 → C2 ⊆ Out C3⋊C896C3:C8:12D4192,635
C3⋊C8⋊13D4 = C12⋊6SD16φ: D4/C4 → C2 ⊆ Out C3⋊C896C3:C8:13D4192,644
C3⋊C8⋊14D4 = C24⋊5D4φ: D4/C4 → C2 ⊆ Out C3⋊C896C3:C8:14D4192,710
C3⋊C8⋊15D4 = C24⋊15D4φ: D4/C4 → C2 ⊆ Out C3⋊C896C3:C8:15D4192,734
C3⋊C8⋊16D4 = Dic3⋊M4(2)φ: D4/C4 → C2 ⊆ Out C3⋊C896C3:C8:16D4192,288
C3⋊C8⋊17D4 = C12⋊2M4(2)φ: D4/C4 → C2 ⊆ Out C3⋊C896C3:C8:17D4192,397
C3⋊C8⋊18D4 = C12⋊3M4(2)φ: D4/C4 → C2 ⊆ Out C3⋊C896C3:C8:18D4192,571
C3⋊C8⋊19D4 = D6⋊D8φ: D4/C22 → C2 ⊆ Out C3⋊C896C3:C8:19D4192,334
C3⋊C8⋊20D4 = D6⋊SD16φ: D4/C22 → C2 ⊆ Out C3⋊C896C3:C8:20D4192,337
C3⋊C8⋊21D4 = D6⋊2SD16φ: D4/C22 → C2 ⊆ Out C3⋊C896C3:C8:21D4192,366
C3⋊C8⋊22D4 = C3⋊C8⋊22D4φ: D4/C22 → C2 ⊆ Out C3⋊C896C3:C8:22D4192,597
C3⋊C8⋊23D4 = C3⋊C8⋊23D4φ: D4/C22 → C2 ⊆ Out C3⋊C896C3:C8:23D4192,600
C3⋊C8⋊24D4 = C3⋊C8⋊24D4φ: D4/C22 → C2 ⊆ Out C3⋊C896C3:C8:24D4192,607
C3⋊C8⋊25D4 = D6⋊2M4(2)φ: D4/C22 → C2 ⊆ Out C3⋊C896C3:C8:25D4192,287
C3⋊C8⋊26D4 = C3⋊C8⋊26D4φ: D4/C22 → C2 ⊆ Out C3⋊C896C3:C8:26D4192,289
C3⋊C8⋊27D4 = D6⋊3M4(2)φ: D4/C22 → C2 ⊆ Out C3⋊C896C3:C8:27D4192,395
C3⋊C8⋊28D4 = C42.47D6φ: D4/C22 → C2 ⊆ Out C3⋊C896C3:C8:28D4192,570
C3⋊C8⋊29D4 = C3⋊D4⋊C8φ: trivial image96C3:C8:29D4192,284
C3⋊C8⋊30D4 = D12⋊C8φ: trivial image96C3:C8:30D4192,393

Non-split extensions G=N.Q with N=C3⋊C8 and Q=D4
extensionφ:Q→Out NdρLabelID
C3⋊C8.1D4 = C3⋊C8.D4φ: D4/C2 → C22 ⊆ Out C3⋊C896C3:C8.1D4192,375
C3⋊C8.2D4 = D8⋊D6φ: D4/C2 → C22 ⊆ Out C3⋊C8484C3:C8.2D4192,470
C3⋊C8.3D4 = D48⋊C2φ: D4/C2 → C22 ⊆ Out C3⋊C8484+C3:C8.3D4192,473
C3⋊C8.4D4 = SD32⋊S3φ: D4/C2 → C22 ⊆ Out C3⋊C8964-C3:C8.4D4192,474
C3⋊C8.5D4 = Q32⋊S3φ: D4/C2 → C22 ⊆ Out C3⋊C8964C3:C8.5D4192,477
C3⋊C8.6D4 = C3⋊C8.6D4φ: D4/C2 → C22 ⊆ Out C3⋊C896C3:C8.6D4192,611
C3⋊C8.7D4 = C42.65D6φ: D4/C2 → C22 ⊆ Out C3⋊C896C3:C8.7D4192,619
C3⋊C8.8D4 = C42.80D6φ: D4/C2 → C22 ⊆ Out C3⋊C896C3:C8.8D4192,645
C3⋊C8.9D4 = C24.31D4φ: D4/C2 → C22 ⊆ Out C3⋊C896C3:C8.9D4192,726
C3⋊C8.10D4 = C24.37D4φ: D4/C2 → C22 ⊆ Out C3⋊C896C3:C8.10D4192,749
C3⋊C8.11D4 = S3×D16φ: D4/C4 → C2 ⊆ Out C3⋊C8484+C3:C8.11D4192,469
C3⋊C8.12D4 = D16⋊3S3φ: D4/C4 → C2 ⊆ Out C3⋊C8964-C3:C8.12D4192,471
C3⋊C8.13D4 = S3×SD32φ: D4/C4 → C2 ⊆ Out C3⋊C8484C3:C8.13D4192,472
C3⋊C8.14D4 = D6.2D8φ: D4/C4 → C2 ⊆ Out C3⋊C8964C3:C8.14D4192,475
C3⋊C8.15D4 = S3×Q32φ: D4/C4 → C2 ⊆ Out C3⋊C8964-C3:C8.15D4192,476
C3⋊C8.16D4 = D48⋊5C2φ: D4/C4 → C2 ⊆ Out C3⋊C8964+C3:C8.16D4192,478
C3⋊C8.17D4 = C42.214D6φ: D4/C4 → C2 ⊆ Out C3⋊C896C3:C8.17D4192,618
C3⋊C8.18D4 = C12⋊3Q16φ: D4/C4 → C2 ⊆ Out C3⋊C8192C3:C8.18D4192,651
C3⋊C8.19D4 = C24.22D4φ: D4/C4 → C2 ⊆ Out C3⋊C896C3:C8.19D4192,714
C3⋊C8.20D4 = C24.43D4φ: D4/C4 → C2 ⊆ Out C3⋊C896C3:C8.20D4192,727
C3⋊C8.21D4 = C24.26D4φ: D4/C4 → C2 ⊆ Out C3⋊C8192C3:C8.21D4192,742
C3⋊C8.22D4 = C24.28D4φ: D4/C4 → C2 ⊆ Out C3⋊C896C3:C8.22D4192,750
C3⋊C8.23D4 = D8⋊5Dic3φ: D4/C4 → C2 ⊆ Out C3⋊C8484C3:C8.23D4192,755
C3⋊C8.24D4 = D12.2D4φ: D4/C22 → C2 ⊆ Out C3⋊C8488-C3:C8.24D4192,307
C3⋊C8.25D4 = D12.3D4φ: D4/C22 → C2 ⊆ Out C3⋊C8488+C3:C8.25D4192,308
C3⋊C8.26D4 = D12.6D4φ: D4/C22 → C2 ⊆ Out C3⋊C8488+C3:C8.26D4192,313
C3⋊C8.27D4 = D12.7D4φ: D4/C22 → C2 ⊆ Out C3⋊C8968-C3:C8.27D4192,314
C3⋊C8.28D4 = D6⋊1Q16φ: D4/C22 → C2 ⊆ Out C3⋊C896C3:C8.28D4192,372
C3⋊C8.29D4 = C3⋊C8.29D4φ: D4/C22 → C2 ⊆ Out C3⋊C896C3:C8.29D4192,610
C3⋊C8.30D4 = M4(2).D6φ: D4/C22 → C2 ⊆ Out C3⋊C8488+C3:C8.30D4192,758
C3⋊C8.31D4 = M4(2).13D6φ: D4/C22 → C2 ⊆ Out C3⋊C8488-C3:C8.31D4192,759
C3⋊C8.32D4 = M4(2).15D6φ: D4/C22 → C2 ⊆ Out C3⋊C8488+C3:C8.32D4192,762
C3⋊C8.33D4 = M4(2).16D6φ: D4/C22 → C2 ⊆ Out C3⋊C8968-C3:C8.33D4192,763
C3⋊C8.34D4 = M4(2).22D6φ: D4/C22 → C2 ⊆ Out C3⋊C8484C3:C8.34D4192,382
C3⋊C8.35D4 = D24⋊10C4φ: D4/C22 → C2 ⊆ Out C3⋊C8484C3:C8.35D4192,453
C3⋊C8.36D4 = D8⋊4Dic3φ: D4/C22 → C2 ⊆ Out C3⋊C8484C3:C8.36D4192,756
C3⋊C8.37D4 = C42.196D6φ: trivial image484C3:C8.37D4192,383
C3⋊C8.38D4 = D24⋊7C4φ: trivial image484C3:C8.38D4192,454

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