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Extensions 1→N→G→Q→1 with N=D30 and Q=D4

Direct product G=NxQ with N=D30 and Q=D4
dρLabelID
C2xD4xD15120C2xD4xD15480,1169

Semidirect products G=N:Q with N=D30 and Q=D4
extensionφ:Q→Out NdρLabelID
D30:1D4 = D30:D4φ: D4/C2 → C22 ⊆ Out D30240D30:1D4480,496
D30:2D4 = D30:2D4φ: D4/C2 → C22 ⊆ Out D30240D30:2D4480,535
D30:3D4 = D6:4D20φ: D4/C2 → C22 ⊆ Out D30120D30:3D4480,550
D30:4D4 = D30:4D4φ: D4/C2 → C22 ⊆ Out D30120D30:4D4480,551
D30:5D4 = D30:5D4φ: D4/C2 → C22 ⊆ Out D30120D30:5D4480,552
D30:6D4 = D30:6D4φ: D4/C2 → C22 ⊆ Out D30240D30:6D4480,609
D30:7D4 = D30:7D4φ: D4/C2 → C22 ⊆ Out D30240D30:7D4480,633
D30:8D4 = D30:8D4φ: D4/C2 → C22 ⊆ Out D30120D30:8D4480,653
D30:9D4 = D30:9D4φ: D4/C4 → C2 ⊆ Out D30240D30:9D4480,849
D30:10D4 = C4:D60φ: D4/C4 → C2 ⊆ Out D30240D30:10D4480,860
D30:11D4 = C60:2D4φ: D4/C4 → C2 ⊆ Out D30240D30:11D4480,903
D30:12D4 = D30:12D4φ: D4/C4 → C2 ⊆ Out D30240D30:12D4480,537
D30:13D4 = C12:2D20φ: D4/C4 → C2 ⊆ Out D30240D30:13D4480,541
D30:14D4 = C20:2D12φ: D4/C4 → C2 ⊆ Out D30240D30:14D4480,542
D30:15D4 = C2xC20:D6φ: D4/C4 → C2 ⊆ Out D30120D30:15D4480,1089
D30:16D4 = D30:16D4φ: D4/C22 → C2 ⊆ Out D30120D30:16D4480,847
D30:17D4 = D30:17D4φ: D4/C22 → C2 ⊆ Out D30120D30:17D4480,902
D30:18D4 = D30:18D4φ: D4/C22 → C2 ⊆ Out D30120D30:18D4480,648
D30:19D4 = D30:19D4φ: D4/C22 → C2 ⊆ Out D30120D30:19D4480,649
D30:20D4 = C2xD10:D6φ: D4/C22 → C2 ⊆ Out D30120D30:20D4480,1124

Non-split extensions G=N.Q with N=D30 and Q=D4
extensionφ:Q→Out NdρLabelID
D30.1D4 = D24:6D5φ: D4/C2 → C22 ⊆ Out D301204D30.1D4480,333
D30.2D4 = C40:8D6φ: D4/C2 → C22 ⊆ Out D301204D30.2D4480,334
D30.3D4 = D30.3D4φ: D4/C2 → C22 ⊆ Out D302404D30.3D4480,354
D30.4D4 = D30.4D4φ: D4/C2 → C22 ⊆ Out D302404D30.4D4480,356
D30.5D4 = D30.D4φ: D4/C2 → C22 ⊆ Out D30240D30.5D4480,432
D30.6D4 = D30.6D4φ: D4/C2 → C22 ⊆ Out D30240D30.6D4480,509
D30.7D4 = D30.7D4φ: D4/C2 → C22 ⊆ Out D30240D30.7D4480,514
D30.8D4 = D30.8D4φ: D4/C2 → C22 ⊆ Out D301208-D30.8D4480,558
D30.9D4 = D30.9D4φ: D4/C2 → C22 ⊆ Out D302408-D30.9D4480,564
D30.10D4 = D20.10D6φ: D4/C2 → C22 ⊆ Out D302408-D30.10D4480,573
D30.11D4 = D30.11D4φ: D4/C2 → C22 ⊆ Out D302408-D30.11D4480,575
D30.12D4 = D60:C22φ: D4/C2 → C22 ⊆ Out D301208+D30.12D4480,582
D30.13D4 = C60.C23φ: D4/C2 → C22 ⊆ Out D302408+D30.13D4480,588
D30.14D4 = D20.16D6φ: D4/C2 → C22 ⊆ Out D302408+D30.14D4480,597
D30.15D4 = D12.D10φ: D4/C2 → C22 ⊆ Out D302408+D30.15D4480,599
D30.16D4 = D30.16D4φ: D4/C2 → C22 ⊆ Out D30240D30.16D4480,638
D30.17D4 = D8:3D15φ: D4/C4 → C2 ⊆ Out D302404-D30.17D4480,877
D30.18D4 = D4.5D30φ: D4/C4 → C2 ⊆ Out D302404D30.18D4480,881
D30.19D4 = D120:8C2φ: D4/C4 → C2 ⊆ Out D302404+D30.19D4480,884
D30.20D4 = C40:14D6φ: D4/C4 → C2 ⊆ Out D301204D30.20D4480,331
D30.21D4 = C40:5D6φ: D4/C4 → C2 ⊆ Out D301204D30.21D4480,332
D30.22D4 = Dic10.D6φ: D4/C4 → C2 ⊆ Out D302404D30.22D4480,340
D30.23D4 = Dic6.D10φ: D4/C4 → C2 ⊆ Out D302404D30.23D4480,352
D30.24D4 = D40:5S3φ: D4/C4 → C2 ⊆ Out D302404D30.24D4480,353
D30.25D4 = D24:5D5φ: D4/C4 → C2 ⊆ Out D302404D30.25D4480,355
D30.26D4 = D30.2Q8φ: D4/C4 → C2 ⊆ Out D30240D30.26D4480,513
D30.27D4 = D30.27D4φ: D4/C4 → C2 ⊆ Out D30120D30.27D4480,549
D30.28D4 = D30.28D4φ: D4/C22 → C2 ⊆ Out D30240D30.28D4480,848
D30.29D4 = D30.29D4φ: D4/C22 → C2 ⊆ Out D30240D30.29D4480,859
D30.30D4 = D8:D15φ: D4/C22 → C2 ⊆ Out D301204D30.30D4480,876
D30.31D4 = Q8:3D30φ: D4/C22 → C2 ⊆ Out D301204+D30.31D4480,879
D30.32D4 = SD16:D15φ: D4/C22 → C2 ⊆ Out D302404-D30.32D4480,880
D30.33D4 = Q16:D15φ: D4/C22 → C2 ⊆ Out D302404D30.33D4480,883
D30.34D4 = D30.34D4φ: D4/C22 → C2 ⊆ Out D30240D30.34D4480,430
D30.35D4 = D30.35D4φ: D4/C22 → C2 ⊆ Out D30240D30.35D4480,431
D30.36D4 = D30.Q8φ: D4/C22 → C2 ⊆ Out D30240D30.36D4480,480
D30.37D4 = D15:D8φ: D4/C22 → C2 ⊆ Out D301208+D30.37D4480,557
D30.38D4 = Dic10:D6φ: D4/C22 → C2 ⊆ Out D301208+D30.38D4480,563
D30.39D4 = Dic6:D10φ: D4/C22 → C2 ⊆ Out D301208+D30.39D4480,574
D30.40D4 = D12:5D10φ: D4/C22 → C2 ⊆ Out D301208+D30.40D4480,576
D30.41D4 = D15:SD16φ: D4/C22 → C2 ⊆ Out D301208-D30.41D4480,581
D30.42D4 = D15:Q16φ: D4/C22 → C2 ⊆ Out D302408-D30.42D4480,587
D30.43D4 = D20.17D6φ: D4/C22 → C2 ⊆ Out D302408-D30.43D4480,598
D30.44D4 = D30.44D4φ: D4/C22 → C2 ⊆ Out D302408-D30.44D4480,600
D30.45D4 = D30.45D4φ: D4/C22 → C2 ⊆ Out D30120D30.45D4480,637
D30.46D4 = C22:C4xD15φ: trivial image120D30.46D4480,845
D30.47D4 = C4:C4xD15φ: trivial image240D30.47D4480,856
D30.48D4 = D8xD15φ: trivial image1204+D30.48D4480,875
D30.49D4 = SD16xD15φ: trivial image1204D30.49D4480,878
D30.50D4 = Q16xD15φ: trivial image2404-D30.50D4480,882

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