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Extensions 1→N→G→Q→1 with N=Dic15 and Q=D4

Direct product G=NxQ with N=Dic15 and Q=D4
dρLabelID
D4xDic15240D4xDic15480,899

Semidirect products G=N:Q with N=Dic15 and Q=D4
extensionφ:Q→Out NdρLabelID
Dic15:1D4 = Dic15:D4φ: D4/C2 → C22 ⊆ Out Dic15240Dic15:1D4480,484
Dic15:2D4 = Dic15:2D4φ: D4/C2 → C22 ⊆ Out Dic15240Dic15:2D4480,529
Dic15:3D4 = Dic15:3D4φ: D4/C2 → C22 ⊆ Out Dic15240Dic15:3D4480,626
Dic15:4D4 = Dic15:4D4φ: D4/C2 → C22 ⊆ Out Dic15240Dic15:4D4480,634
Dic15:5D4 = Dic15:5D4φ: D4/C2 → C22 ⊆ Out Dic15240Dic15:5D4480,643
Dic15:6D4 = C60:3D4φ: D4/C4 → C2 ⊆ Out Dic15240Dic15:6D4480,905
Dic15:7D4 = D20:8Dic3φ: D4/C4 → C2 ⊆ Out Dic15240Dic15:7D4480,510
Dic15:8D4 = Dic15:8D4φ: D4/C4 → C2 ⊆ Out Dic15240Dic15:8D4480,511
Dic15:9D4 = Dic15:9D4φ: D4/C4 → C2 ⊆ Out Dic15240Dic15:9D4480,518
Dic15:10D4 = C60:10D4φ: D4/C4 → C2 ⊆ Out Dic15240Dic15:10D4480,539
Dic15:11D4 = D30:9D4φ: D4/C22 → C2 ⊆ Out Dic15240Dic15:11D4480,849
Dic15:12D4 = Dic15:12D4φ: D4/C22 → C2 ⊆ Out Dic15240Dic15:12D4480,904
Dic15:13D4 = Dic15:13D4φ: D4/C22 → C2 ⊆ Out Dic15240Dic15:13D4480,472
Dic15:14D4 = Dic15:14D4φ: D4/C22 → C2 ⊆ Out Dic15240Dic15:14D4480,482
Dic15:15D4 = D30:12D4φ: D4/C22 → C2 ⊆ Out Dic15240Dic15:15D4480,537
Dic15:16D4 = Dic15:16D4φ: D4/C22 → C2 ⊆ Out Dic15240Dic15:16D4480,635
Dic15:17D4 = Dic15:17D4φ: D4/C22 → C2 ⊆ Out Dic15240Dic15:17D4480,636
Dic15:18D4 = Dic15:18D4φ: D4/C22 → C2 ⊆ Out Dic15240Dic15:18D4480,647
Dic15:19D4 = Dic15:19D4φ: trivial image240Dic15:19D4480,846
Dic15:20D4 = D60:11C4φ: trivial image240Dic15:20D4480,858

Non-split extensions G=N.Q with N=Dic15 and Q=D4
extensionφ:Q→Out NdρLabelID
Dic15.1D4 = D24:6D5φ: D4/C2 → C22 ⊆ Out Dic151204Dic15.1D4480,333
Dic15.2D4 = C40:8D6φ: D4/C2 → C22 ⊆ Out Dic151204Dic15.2D4480,334
Dic15.3D4 = D30.3D4φ: D4/C2 → C22 ⊆ Out Dic152404Dic15.3D4480,354
Dic15.4D4 = D30.4D4φ: D4/C2 → C22 ⊆ Out Dic152404Dic15.4D4480,356
Dic15.5D4 = Dic3:Dic10φ: D4/C2 → C22 ⊆ Out Dic15480Dic15.5D4480,404
Dic15.6D4 = Dic15.D4φ: D4/C2 → C22 ⊆ Out Dic15240Dic15.6D4480,506
Dic15.7D4 = D10:4Dic6φ: D4/C2 → C22 ⊆ Out Dic15240Dic15.7D4480,507
Dic15.8D4 = D6:3Dic10φ: D4/C2 → C22 ⊆ Out Dic15240Dic15.8D4480,508
Dic15.9D4 = D6:4Dic10φ: D4/C2 → C22 ⊆ Out Dic15240Dic15.9D4480,512
Dic15.10D4 = Dic15.10D4φ: D4/C2 → C22 ⊆ Out Dic15240Dic15.10D4480,538
Dic15.11D4 = D15:D8φ: D4/C2 → C22 ⊆ Out Dic151208+Dic15.11D4480,557
Dic15.12D4 = Dic10:D6φ: D4/C2 → C22 ⊆ Out Dic151208+Dic15.12D4480,563
Dic15.13D4 = Dic6:D10φ: D4/C2 → C22 ⊆ Out Dic151208+Dic15.13D4480,574
Dic15.14D4 = D12:5D10φ: D4/C2 → C22 ⊆ Out Dic151208+Dic15.14D4480,576
Dic15.15D4 = D15:SD16φ: D4/C2 → C22 ⊆ Out Dic151208-Dic15.15D4480,581
Dic15.16D4 = D15:Q16φ: D4/C2 → C22 ⊆ Out Dic152408-Dic15.16D4480,587
Dic15.17D4 = D20.17D6φ: D4/C2 → C22 ⊆ Out Dic152408-Dic15.17D4480,598
Dic15.18D4 = D30.44D4φ: D4/C2 → C22 ⊆ Out Dic152408-Dic15.18D4480,600
Dic15.19D4 = Dic15.19D4φ: D4/C2 → C22 ⊆ Out Dic15240Dic15.19D4480,602
Dic15.20D4 = C23.11D30φ: D4/C4 → C2 ⊆ Out Dic15240Dic15.20D4480,850
Dic15.21D4 = C4:Dic30φ: D4/C4 → C2 ⊆ Out Dic15480Dic15.21D4480,853
Dic15.22D4 = D8xD15φ: D4/C4 → C2 ⊆ Out Dic151204+Dic15.22D4480,875
Dic15.23D4 = SD16xD15φ: D4/C4 → C2 ⊆ Out Dic151204Dic15.23D4480,878
Dic15.24D4 = Q16xD15φ: D4/C4 → C2 ⊆ Out Dic152404-Dic15.24D4480,882
Dic15.25D4 = C40:14D6φ: D4/C4 → C2 ⊆ Out Dic151204Dic15.25D4480,331
Dic15.26D4 = C40:5D6φ: D4/C4 → C2 ⊆ Out Dic151204Dic15.26D4480,332
Dic15.27D4 = Dic10.D6φ: D4/C4 → C2 ⊆ Out Dic152404Dic15.27D4480,340
Dic15.28D4 = Dic6.D10φ: D4/C4 → C2 ⊆ Out Dic152404Dic15.28D4480,352
Dic15.29D4 = D40:5S3φ: D4/C4 → C2 ⊆ Out Dic152404Dic15.29D4480,353
Dic15.30D4 = D24:5D5φ: D4/C4 → C2 ⊆ Out Dic152404Dic15.30D4480,355
Dic15.31D4 = Dic15.31D4φ: D4/C4 → C2 ⊆ Out Dic15240Dic15.31D4480,540
Dic15.32D4 = C20:Dic6φ: D4/C4 → C2 ⊆ Out Dic15480Dic15.32D4480,546
Dic15.33D4 = C22:2Dic30φ: D4/C22 → C2 ⊆ Out Dic15240Dic15.33D4480,843
Dic15.34D4 = D30:5Q8φ: D4/C22 → C2 ⊆ Out Dic15240Dic15.34D4480,861
Dic15.35D4 = D8:D15φ: D4/C22 → C2 ⊆ Out Dic151204Dic15.35D4480,876
Dic15.36D4 = Q8:3D30φ: D4/C22 → C2 ⊆ Out Dic151204+Dic15.36D4480,879
Dic15.37D4 = SD16:D15φ: D4/C22 → C2 ⊆ Out Dic152404-Dic15.37D4480,880
Dic15.38D4 = Q16:D15φ: D4/C22 → C2 ⊆ Out Dic152404Dic15.38D4480,883
Dic15.39D4 = D30:8Q8φ: D4/C22 → C2 ⊆ Out Dic15240Dic15.39D4480,453
Dic15.40D4 = D30.8D4φ: D4/C22 → C2 ⊆ Out Dic151208-Dic15.40D4480,558
Dic15.41D4 = D30.9D4φ: D4/C22 → C2 ⊆ Out Dic152408-Dic15.41D4480,564
Dic15.42D4 = D20.10D6φ: D4/C22 → C2 ⊆ Out Dic152408-Dic15.42D4480,573
Dic15.43D4 = D30.11D4φ: D4/C22 → C2 ⊆ Out Dic152408-Dic15.43D4480,575
Dic15.44D4 = D60:C22φ: D4/C22 → C2 ⊆ Out Dic151208+Dic15.44D4480,582
Dic15.45D4 = C60.C23φ: D4/C22 → C2 ⊆ Out Dic152408+Dic15.45D4480,588
Dic15.46D4 = D20.16D6φ: D4/C22 → C2 ⊆ Out Dic152408+Dic15.46D4480,597
Dic15.47D4 = D12.D10φ: D4/C22 → C2 ⊆ Out Dic152408+Dic15.47D4480,599
Dic15.48D4 = Dic15.48D4φ: D4/C22 → C2 ⊆ Out Dic15240Dic15.48D4480,652
Dic15.49D4 = D8:3D15φ: trivial image2404-Dic15.49D4480,877
Dic15.50D4 = D4.5D30φ: trivial image2404Dic15.50D4480,881
Dic15.51D4 = D120:8C2φ: trivial image2404+Dic15.51D4480,884

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