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Extensions 1→N→G→Q→1 with N=C3⋊C8 and Q=D6

Direct product G=N×Q with N=C3⋊C8 and Q=D6
dρLabelID
C2×S3×C3⋊C896C2xS3xC3:C8288,460

Semidirect products G=N:Q with N=C3⋊C8 and Q=D6
extensionφ:Q→Out NdρLabelID
C3⋊C8⋊1D6 = C24⋊1D6φ: D6/C3 → C22 ⊆ Out C3⋊C8484+C3:C8:1D6288,442
C3⋊C8⋊2D6 = D24⋊S3φ: D6/C3 → C22 ⊆ Out C3⋊C8484C3:C8:2D6288,443
C3⋊C8⋊3D6 = D12⋊18D6φ: D6/C3 → C22 ⊆ Out C3⋊C8244+C3:C8:3D6288,473
C3⋊C8⋊4D6 = D12.28D6φ: D6/C3 → C22 ⊆ Out C3⋊C8484C3:C8:4D6288,478
C3⋊C8⋊5D6 = Dic6⋊3D6φ: D6/C3 → C22 ⊆ Out C3⋊C8488+C3:C8:5D6288,573
C3⋊C8⋊6D6 = D12.D6φ: D6/C3 → C22 ⊆ Out C3⋊C8488-C3:C8:6D6288,575
C3⋊C8⋊7D6 = D12⋊9D6φ: D6/C3 → C22 ⊆ Out C3⋊C8488-C3:C8:7D6288,580
C3⋊C8⋊8D6 = D12.7D6φ: D6/C3 → C22 ⊆ Out C3⋊C8488+C3:C8:8D6288,582
C3⋊C8⋊9D6 = D12⋊5D6φ: D6/C3 → C22 ⊆ Out C3⋊C8248+C3:C8:9D6288,585
C3⋊C8⋊10D6 = D12⋊6D6φ: D6/C3 → C22 ⊆ Out C3⋊C8488+C3:C8:10D6288,587
C3⋊C8⋊11D6 = D12.10D6φ: D6/C3 → C22 ⊆ Out C3⋊C8488+C3:C8:11D6288,589
C3⋊C8⋊12D6 = S3×D4⋊S3φ: D6/S3 → C2 ⊆ Out C3⋊C8488+C3:C8:12D6288,572
C3⋊C8⋊13D6 = D12⋊D6φ: D6/S3 → C2 ⊆ Out C3⋊C8248+C3:C8:13D6288,574
C3⋊C8⋊14D6 = S3×D4.S3φ: D6/S3 → C2 ⊆ Out C3⋊C8488-C3:C8:14D6288,576
C3⋊C8⋊15D6 = Dic6⋊D6φ: D6/S3 → C2 ⊆ Out C3⋊C8248+C3:C8:15D6288,578
C3⋊C8⋊16D6 = S3×Q8⋊2S3φ: D6/S3 → C2 ⊆ Out C3⋊C8488+C3:C8:16D6288,586
C3⋊C8⋊17D6 = D12.9D6φ: D6/S3 → C2 ⊆ Out C3⋊C8488-C3:C8:17D6288,588
C3⋊C8⋊18D6 = C24⋊D6φ: D6/S3 → C2 ⊆ Out C3⋊C8484C3:C8:18D6288,439
C3⋊C8⋊19D6 = S3×C4.Dic3φ: D6/S3 → C2 ⊆ Out C3⋊C8484C3:C8:19D6288,461
C3⋊C8⋊20D6 = C3⋊C8⋊20D6φ: D6/S3 → C2 ⊆ Out C3⋊C8244C3:C8:20D6288,466
C3⋊C8⋊21D6 = S3×C24⋊C2φ: D6/C6 → C2 ⊆ Out C3⋊C8484C3:C8:21D6288,440
C3⋊C8⋊22D6 = S3×D24φ: D6/C6 → C2 ⊆ Out C3⋊C8484+C3:C8:22D6288,441
C3⋊C8⋊23D6 = C2×C3⋊D24φ: D6/C6 → C2 ⊆ Out C3⋊C848C3:C8:23D6288,472
C3⋊C8⋊24D6 = C2×D12.S3φ: D6/C6 → C2 ⊆ Out C3⋊C896C3:C8:24D6288,476
C3⋊C8⋊25D6 = C2×C32⋊5SD16φ: D6/C6 → C2 ⊆ Out C3⋊C848C3:C8:25D6288,480
C3⋊C8⋊26D6 = S3×C8⋊S3φ: D6/C6 → C2 ⊆ Out C3⋊C8484C3:C8:26D6288,438
C3⋊C8⋊27D6 = C2×D6.Dic3φ: D6/C6 → C2 ⊆ Out C3⋊C896C3:C8:27D6288,467
C3⋊C8⋊28D6 = C2×C12.31D6φ: D6/C6 → C2 ⊆ Out C3⋊C848C3:C8:28D6288,468
C3⋊C8⋊29D6 = S32×C8φ: trivial image484C3:C8:29D6288,437
C3⋊C8⋊30D6 = C2×C12.29D6φ: trivial image48C3:C8:30D6288,464

Non-split extensions G=N.Q with N=C3⋊C8 and Q=D6
extensionφ:Q→Out NdρLabelID
C3⋊C8.1D6 = C24.3D6φ: D6/C3 → C22 ⊆ Out C3⋊C8964-C3:C8.1D6288,448
C3⋊C8.2D6 = Dic12⋊S3φ: D6/C3 → C22 ⊆ Out C3⋊C8484C3:C8.2D6288,449
C3⋊C8.3D6 = D12.29D6φ: D6/C3 → C22 ⊆ Out C3⋊C8484-C3:C8.3D6288,479
C3⋊C8.4D6 = Dic6.29D6φ: D6/C3 → C22 ⊆ Out C3⋊C8484C3:C8.4D6288,481
C3⋊C8.5D6 = Dic6.19D6φ: D6/C3 → C22 ⊆ Out C3⋊C8488-C3:C8.5D6288,577
C3⋊C8.6D6 = Dic6.D6φ: D6/C3 → C22 ⊆ Out C3⋊C8488-C3:C8.6D6288,579
C3⋊C8.7D6 = D12.11D6φ: D6/C3 → C22 ⊆ Out C3⋊C8968-C3:C8.7D6288,591
C3⋊C8.8D6 = Dic6.10D6φ: D6/C3 → C22 ⊆ Out C3⋊C8488+C3:C8.8D6288,593
C3⋊C8.9D6 = D12.24D6φ: D6/C3 → C22 ⊆ Out C3⋊C8968-C3:C8.9D6288,594
C3⋊C8.10D6 = Dic6.22D6φ: D6/C3 → C22 ⊆ Out C3⋊C8488+C3:C8.10D6288,596
C3⋊C8.11D6 = D12.15D6φ: D6/C3 → C22 ⊆ Out C3⋊C8488-C3:C8.11D6288,599
C3⋊C8.12D6 = D12.22D6φ: D6/S3 → C2 ⊆ Out C3⋊C8488-C3:C8.12D6288,581
C3⋊C8.13D6 = Dic6.20D6φ: D6/S3 → C2 ⊆ Out C3⋊C8488+C3:C8.13D6288,583
C3⋊C8.14D6 = D12.8D6φ: D6/S3 → C2 ⊆ Out C3⋊C8488-C3:C8.14D6288,584
C3⋊C8.15D6 = S3×C3⋊Q16φ: D6/S3 → C2 ⊆ Out C3⋊C8968-C3:C8.15D6288,590
C3⋊C8.16D6 = Dic6.9D6φ: D6/S3 → C2 ⊆ Out C3⋊C8488-C3:C8.16D6288,592
C3⋊C8.17D6 = D12.12D6φ: D6/S3 → C2 ⊆ Out C3⋊C8968-C3:C8.17D6288,595
C3⋊C8.18D6 = D12.13D6φ: D6/S3 → C2 ⊆ Out C3⋊C8488+C3:C8.18D6288,597
C3⋊C8.19D6 = D12.14D6φ: D6/S3 → C2 ⊆ Out C3⋊C8488+C3:C8.19D6288,598
C3⋊C8.20D6 = C24.D6φ: D6/S3 → C2 ⊆ Out C3⋊C8484C3:C8.20D6288,453
C3⋊C8.21D6 = D12.Dic3φ: D6/S3 → C2 ⊆ Out C3⋊C8484C3:C8.21D6288,463
C3⋊C8.22D6 = C3⋊C8.22D6φ: D6/S3 → C2 ⊆ Out C3⋊C8484C3:C8.22D6288,465
C3⋊C8.23D6 = S3×Dic12φ: D6/C6 → C2 ⊆ Out C3⋊C8964-C3:C8.23D6288,447
C3⋊C8.24D6 = D6.1D12φ: D6/C6 → C2 ⊆ Out C3⋊C8484C3:C8.24D6288,454
C3⋊C8.25D6 = D24⋊7S3φ: D6/C6 → C2 ⊆ Out C3⋊C8964-C3:C8.25D6288,455
C3⋊C8.26D6 = D6.3D12φ: D6/C6 → C2 ⊆ Out C3⋊C8484+C3:C8.26D6288,456
C3⋊C8.27D6 = D12.27D6φ: D6/C6 → C2 ⊆ Out C3⋊C8484C3:C8.27D6288,477
C3⋊C8.28D6 = C2×C32⋊3Q16φ: D6/C6 → C2 ⊆ Out C3⋊C896C3:C8.28D6288,483
C3⋊C8.29D6 = C24.63D6φ: D6/C6 → C2 ⊆ Out C3⋊C8484C3:C8.29D6288,451
C3⋊C8.30D6 = C24.64D6φ: trivial image484C3:C8.30D6288,452
C3⋊C8.31D6 = D12.2Dic3φ: trivial image484C3:C8.31D6288,462

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