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Extensions 1→N→G→Q→1 with N=C3:Dic3 and Q=D4

Direct product G=NxQ with N=C3:Dic3 and Q=D4
dρLabelID
D4xC3:Dic3144D4xC3:Dic3288,791

Semidirect products G=N:Q with N=C3:Dic3 and Q=D4
extensionφ:Q→Out NdρLabelID
C3:Dic3:1D4 = C62.55C23φ: D4/C2 → C22 ⊆ Out C3:Dic396C3:Dic3:1D4288,533
C3:Dic3:2D4 = C62.113C23φ: D4/C2 → C22 ⊆ Out C3:Dic348C3:Dic3:2D4288,619
C3:Dic3:3D4 = C62.121C23φ: D4/C2 → C22 ⊆ Out C3:Dic348C3:Dic3:3D4288,627
C3:Dic3:4D4 = C4xS3wrC2φ: D4/C2 → C22 ⊆ Out C3:Dic3244C3:Dic3:4D4288,877
C3:Dic3:5D4 = S32:D4φ: D4/C2 → C22 ⊆ Out C3:Dic3244C3:Dic3:5D4288,878
C3:Dic3:6D4 = C4:S3wrC2φ: D4/C2 → C22 ⊆ Out C3:Dic3248+C3:Dic3:6D4288,879
C3:Dic3:7D4 = D12:Dic3φ: D4/C4 → C2 ⊆ Out C3:Dic396C3:Dic3:7D4288,546
C3:Dic3:8D4 = C62.72C23φ: D4/C4 → C2 ⊆ Out C3:Dic396C3:Dic3:8D4288,550
C3:Dic3:9D4 = C62.84C23φ: D4/C4 → C2 ⊆ Out C3:Dic396C3:Dic3:9D4288,562
C3:Dic3:10D4 = C62.258C23φ: D4/C4 → C2 ⊆ Out C3:Dic3144C3:Dic3:10D4288,797
C3:Dic3:11D4 = C62.51C23φ: D4/C22 → C2 ⊆ Out C3:Dic348C3:Dic3:11D4288,529
C3:Dic3:12D4 = C62.82C23φ: D4/C22 → C2 ⊆ Out C3:Dic348C3:Dic3:12D4288,560
C3:Dic3:13D4 = C62.115C23φ: D4/C22 → C2 ⊆ Out C3:Dic348C3:Dic3:13D4288,621
C3:Dic3:14D4 = C62:7D4φ: D4/C22 → C2 ⊆ Out C3:Dic348C3:Dic3:14D4288,628
C3:Dic3:15D4 = C62.228C23φ: D4/C22 → C2 ⊆ Out C3:Dic3144C3:Dic3:15D4288,741
C3:Dic3:16D4 = C62:14D4φ: D4/C22 → C2 ⊆ Out C3:Dic3144C3:Dic3:16D4288,796
C3:Dic3:17D4 = C62.225C23φ: trivial image144C3:Dic3:17D4288,738
C3:Dic3:18D4 = C62.237C23φ: trivial image144C3:Dic3:18D4288,750

Non-split extensions G=N.Q with N=C3:Dic3 and Q=D4
extensionφ:Q→Out NdρLabelID
C3:Dic3.1D4 = S32:C8φ: D4/C2 → C22 ⊆ Out C3:Dic3244C3:Dic3.1D4288,374
C3:Dic3.2D4 = C4.S3wrC2φ: D4/C2 → C22 ⊆ Out C3:Dic3244C3:Dic3.2D4288,375
C3:Dic3.3D4 = (C3xC12).D4φ: D4/C2 → C22 ⊆ Out C3:Dic3484C3:Dic3.3D4288,376
C3:Dic3.4D4 = C62.3D4φ: D4/C2 → C22 ⊆ Out C3:Dic348C3:Dic3.4D4288,387
C3:Dic3.5D4 = C62.4D4φ: D4/C2 → C22 ⊆ Out C3:Dic396C3:Dic3.5D4288,388
C3:Dic3.6D4 = Dic3wrC2φ: D4/C2 → C22 ⊆ Out C3:Dic3244-C3:Dic3.6D4288,389
C3:Dic3.7D4 = C4.4PSU3(F2)φ: D4/C2 → C22 ⊆ Out C3:Dic3488C3:Dic3.7D4288,392
C3:Dic3.8D4 = C62.2Q8φ: D4/C2 → C22 ⊆ Out C3:Dic3488-C3:Dic3.8D4288,396
C3:Dic3.9D4 = C3:Dic3.D4φ: D4/C2 → C22 ⊆ Out C3:Dic3484-C3:Dic3.9D4288,428
C3:Dic3.10D4 = C3:S3.5D8φ: D4/C2 → C22 ⊆ Out C3:Dic3248+C3:Dic3.10D4288,430
C3:Dic3.11D4 = C3:S3.5Q16φ: D4/C2 → C22 ⊆ Out C3:Dic3488-C3:Dic3.11D4288,432
C3:Dic3.12D4 = (C2xC62).C4φ: D4/C2 → C22 ⊆ Out C3:Dic3244C3:Dic3.12D4288,436
C3:Dic3.13D4 = C24:6D6φ: D4/C2 → C22 ⊆ Out C3:Dic3484C3:Dic3.13D4288,446
C3:Dic3.14D4 = D12.4D6φ: D4/C2 → C22 ⊆ Out C3:Dic3484C3:Dic3.14D4288,459
C3:Dic3.15D4 = C62.10C23φ: D4/C2 → C22 ⊆ Out C3:Dic396C3:Dic3.15D4288,488
C3:Dic3.16D4 = D6:3Dic6φ: D4/C2 → C22 ⊆ Out C3:Dic396C3:Dic3.16D4288,544
C3:Dic3.17D4 = D6:4Dic6φ: D4/C2 → C22 ⊆ Out C3:Dic396C3:Dic3.17D4288,547
C3:Dic3.18D4 = C62.83C23φ: D4/C2 → C22 ⊆ Out C3:Dic396C3:Dic3.18D4288,561
C3:Dic3.19D4 = D12:D6φ: D4/C2 → C22 ⊆ Out C3:Dic3248+C3:Dic3.19D4288,574
C3:Dic3.20D4 = Dic6:D6φ: D4/C2 → C22 ⊆ Out C3:Dic3248+C3:Dic3.20D4288,578
C3:Dic3.21D4 = D12:5D6φ: D4/C2 → C22 ⊆ Out C3:Dic3248+C3:Dic3.21D4288,585
C3:Dic3.22D4 = D12.9D6φ: D4/C2 → C22 ⊆ Out C3:Dic3488-C3:Dic3.22D4288,588
C3:Dic3.23D4 = Dic6.9D6φ: D4/C2 → C22 ⊆ Out C3:Dic3488-C3:Dic3.23D4288,592
C3:Dic3.24D4 = D12.15D6φ: D4/C2 → C22 ⊆ Out C3:Dic3488-C3:Dic3.24D4288,599
C3:Dic3.25D4 = C62.95C23φ: D4/C2 → C22 ⊆ Out C3:Dic348C3:Dic3.25D4288,601
C3:Dic3.26D4 = S32:Q8φ: D4/C2 → C22 ⊆ Out C3:Dic3244C3:Dic3.26D4288,868
C3:Dic3.27D4 = C4.4S3wrC2φ: D4/C2 → C22 ⊆ Out C3:Dic3248+C3:Dic3.27D4288,869
C3:Dic3.28D4 = C32:C4:Q8φ: D4/C2 → C22 ⊆ Out C3:Dic3488-C3:Dic3.28D4288,870
C3:Dic3.29D4 = C2xC32:D8φ: D4/C2 → C22 ⊆ Out C3:Dic348C3:Dic3.29D4288,883
C3:Dic3.30D4 = C62.12D4φ: D4/C2 → C22 ⊆ Out C3:Dic3244C3:Dic3.30D4288,884
C3:Dic3.31D4 = C62.13D4φ: D4/C2 → C22 ⊆ Out C3:Dic3488-C3:Dic3.31D4288,885
C3:Dic3.32D4 = C2xC32:2SD16φ: D4/C2 → C22 ⊆ Out C3:Dic348C3:Dic3.32D4288,886
C3:Dic3.33D4 = C62.15D4φ: D4/C2 → C22 ⊆ Out C3:Dic3484-C3:Dic3.33D4288,887
C3:Dic3.34D4 = C2xC32:Q16φ: D4/C2 → C22 ⊆ Out C3:Dic396C3:Dic3.34D4288,888
C3:Dic3.35D4 = (C3xC24).C4φ: D4/C4 → C2 ⊆ Out C3:Dic3484C3:Dic3.35D4288,418
C3:Dic3.36D4 = C8.(C32:C4)φ: D4/C4 → C2 ⊆ Out C3:Dic3484C3:Dic3.36D4288,419
C3:Dic3.37D4 = (C3xC12):4C8φ: D4/C4 → C2 ⊆ Out C3:Dic396C3:Dic3.37D4288,424
C3:Dic3.38D4 = C32:5(C4:C8)φ: D4/C4 → C2 ⊆ Out C3:Dic396C3:Dic3.38D4288,427
C3:Dic3.39D4 = C24:9D6φ: D4/C4 → C2 ⊆ Out C3:Dic3484C3:Dic3.39D4288,444
C3:Dic3.40D4 = C24:4D6φ: D4/C4 → C2 ⊆ Out C3:Dic3484C3:Dic3.40D4288,445
C3:Dic3.41D4 = C24.23D6φ: D4/C4 → C2 ⊆ Out C3:Dic3484C3:Dic3.41D4288,450
C3:Dic3.42D4 = D12.2D6φ: D4/C4 → C2 ⊆ Out C3:Dic3484C3:Dic3.42D4288,457
C3:Dic3.43D4 = D24:5S3φ: D4/C4 → C2 ⊆ Out C3:Dic3484C3:Dic3.43D4288,458
C3:Dic3.44D4 = C62.85C23φ: D4/C4 → C2 ⊆ Out C3:Dic396C3:Dic3.44D4288,563
C3:Dic3.45D4 = C12:Dic6φ: D4/C4 → C2 ⊆ Out C3:Dic396C3:Dic3.45D4288,567
C3:Dic3.46D4 = C62.229C23φ: D4/C4 → C2 ⊆ Out C3:Dic3144C3:Dic3.46D4288,742
C3:Dic3.47D4 = C12:2Dic6φ: D4/C4 → C2 ⊆ Out C3:Dic3288C3:Dic3.47D4288,745
C3:Dic3.48D4 = D8xC3:S3φ: D4/C4 → C2 ⊆ Out C3:Dic372C3:Dic3.48D4288,767
C3:Dic3.49D4 = SD16xC3:S3φ: D4/C4 → C2 ⊆ Out C3:Dic372C3:Dic3.49D4288,770
C3:Dic3.50D4 = Q16xC3:S3φ: D4/C4 → C2 ⊆ Out C3:Dic3144C3:Dic3.50D4288,774
C3:Dic3.51D4 = C62.6(C2xC4)φ: D4/C22 → C2 ⊆ Out C3:Dic348C3:Dic3.51D4288,426
C3:Dic3.52D4 = C32:6C4wrC2φ: D4/C22 → C2 ⊆ Out C3:Dic3488-C3:Dic3.52D4288,431
C3:Dic3.53D4 = C32:7C4wrC2φ: D4/C22 → C2 ⊆ Out C3:Dic3488+C3:Dic3.53D4288,433
C3:Dic3.54D4 = C62:3C8φ: D4/C22 → C2 ⊆ Out C3:Dic348C3:Dic3.54D4288,435
C3:Dic3.55D4 = C62.35C23φ: D4/C22 → C2 ⊆ Out C3:Dic348C3:Dic3.55D4288,513
C3:Dic3.56D4 = D12.D6φ: D4/C22 → C2 ⊆ Out C3:Dic3488-C3:Dic3.56D4288,575
C3:Dic3.57D4 = Dic6.D6φ: D4/C22 → C2 ⊆ Out C3:Dic3488-C3:Dic3.57D4288,579
C3:Dic3.58D4 = D12.8D6φ: D4/C22 → C2 ⊆ Out C3:Dic3488-C3:Dic3.58D4288,584
C3:Dic3.59D4 = D12.10D6φ: D4/C22 → C2 ⊆ Out C3:Dic3488+C3:Dic3.59D4288,589
C3:Dic3.60D4 = Dic6.10D6φ: D4/C22 → C2 ⊆ Out C3:Dic3488+C3:Dic3.60D4288,593
C3:Dic3.61D4 = D12.14D6φ: D4/C22 → C2 ⊆ Out C3:Dic3488+C3:Dic3.61D4288,598
C3:Dic3.62D4 = C62:4Q8φ: D4/C22 → C2 ⊆ Out C3:Dic348C3:Dic3.62D4288,630
C3:Dic3.63D4 = C62:6Q8φ: D4/C22 → C2 ⊆ Out C3:Dic3144C3:Dic3.63D4288,735
C3:Dic3.64D4 = C62.240C23φ: D4/C22 → C2 ⊆ Out C3:Dic3144C3:Dic3.64D4288,753
C3:Dic3.65D4 = C24:8D6φ: D4/C22 → C2 ⊆ Out C3:Dic372C3:Dic3.65D4288,768
C3:Dic3.66D4 = C24:7D6φ: D4/C22 → C2 ⊆ Out C3:Dic372C3:Dic3.66D4288,771
C3:Dic3.67D4 = C24.32D6φ: D4/C22 → C2 ⊆ Out C3:Dic3144C3:Dic3.67D4288,772
C3:Dic3.68D4 = C24.35D6φ: D4/C22 → C2 ⊆ Out C3:Dic3144C3:Dic3.68D4288,775
C3:Dic3.69D4 = C24.26D6φ: trivial image144C3:Dic3.69D4288,769
C3:Dic3.70D4 = C24.40D6φ: trivial image144C3:Dic3.70D4288,773
C3:Dic3.71D4 = C24.28D6φ: trivial image144C3:Dic3.71D4288,776

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