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Extensions 1→N→G→Q→1 with N=C10.Q16 and Q=C2

Direct product G=N×Q with N=C10.Q16 and Q=C2
dρLabelID
C2×C10.Q16320C2xC10.Q16320,596

Semidirect products G=N:Q with N=C10.Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
C10.Q16⋊1C2 = C20⋊Q8⋊C2φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:1C2320,392
C10.Q16⋊2C2 = Dic10.D4φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:2C2320,394
C10.Q16⋊3C2 = (C8×Dic5)⋊C2φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:3C2320,395
C10.Q16⋊4C2 = D4⋊(C4×D5)φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:4C2320,398
C10.Q16⋊5C2 = D4⋊2D5⋊C4φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:5C2320,399
C10.Q16⋊6C2 = D4⋊3D20φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:6C2320,408
C10.Q16⋊7C2 = D4.D20φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:7C2320,410
C10.Q16⋊8C2 = D20.D4φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:8C2320,414
C10.Q16⋊9C2 = D5×Q8⋊C4φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:9C2320,428
C10.Q16⋊10C2 = (Q8×D5)⋊C4φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:10C2320,429
C10.Q16⋊11C2 = Q8⋊2D20φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:11C2320,433
C10.Q16⋊12C2 = D10⋊4Q16φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:12C2320,435
C10.Q16⋊13C2 = Dic5⋊SD16φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:13C2320,445
C10.Q16⋊14C2 = Dic5⋊8SD16φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:14C2320,479
C10.Q16⋊15C2 = D10.12SD16φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:15C2320,489
C10.Q16⋊16C2 = C8⋊8D20φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:16C2320,491
C10.Q16⋊17C2 = C20.(C4○D4)φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:17C2320,494
C10.Q16⋊18C2 = C8.2D20φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:18C2320,495
C10.Q16⋊19C2 = D10.8Q16φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:19C2320,511
C10.Q16⋊20C2 = C8⋊3D20φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:20C2320,513
C10.Q16⋊21C2 = D10⋊2Q16φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:21C2320,514
C10.Q16⋊22C2 = C2.D8⋊7D5φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:22C2320,515
C10.Q16⋊23C2 = C40⋊21(C2×C4)φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:23C2320,516
C10.Q16⋊24C2 = C4○D20⋊9C4φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:24C2320,593
C10.Q16⋊25C2 = C4⋊C4.230D10φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:25C2320,597
C10.Q16⋊26C2 = C4⋊C4.231D10φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:26C2320,598
C10.Q16⋊27C2 = C4⋊C4.233D10φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:27C2320,623
C10.Q16⋊28C2 = C4.(C2×D20)φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:28C2320,631
C10.Q16⋊29C2 = D4.1D20φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:29C2320,643
C10.Q16⋊30C2 = C42.51D10φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:30C2320,645
C10.Q16⋊31C2 = D4.2D20φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:31C2320,646
C10.Q16⋊32C2 = Q8.1D20φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:32C2320,655
C10.Q16⋊33C2 = D20⋊17D4φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:33C2320,664
C10.Q16⋊34C2 = Dic10⋊17D4φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:34C2320,667
C10.Q16⋊35C2 = C5⋊2C8⋊23D4φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:35C2320,668
C10.Q16⋊36C2 = C4.(D4×D5)φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:36C2320,669
C10.Q16⋊37C2 = D20.37D4φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:37C2320,674
C10.Q16⋊38C2 = Dic10.37D4φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:38C2320,677
C10.Q16⋊39C2 = (C2×C10)⋊Q16φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:39C2320,678
C10.Q16⋊40C2 = C5⋊(C8.D4)φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:40C2320,679
C10.Q16⋊41C2 = C42.216D10φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:41C2320,695
C10.Q16⋊42C2 = C42.82D10φ: C2/C1 → C2 ⊆ Out C10.Q16160C10.Q16:42C2320,716
C10.Q16⋊43C2 = C4○D20⋊10C4φ: trivial image160C10.Q16:43C2320,629
C10.Q16⋊44C2 = C4×D4.D5φ: trivial image160C10.Q16:44C2320,644

Non-split extensions G=N.Q with N=C10.Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
C10.Q16.1C2 = Dic5.3Q16φ: C2/C1 → C2 ⊆ Out C10.Q16320C10.Q16.1C2320,419
C10.Q16.2C2 = Dic5⋊Q16φ: C2/C1 → C2 ⊆ Out C10.Q16320C10.Q16.2C2320,420
C10.Q16.3C2 = C40⋊8C4.C2φ: C2/C1 → C2 ⊆ Out C10.Q16320C10.Q16.3C2320,424
C10.Q16.4C2 = Dic20⋊15C4φ: C2/C1 → C2 ⊆ Out C10.Q16320C10.Q16.4C2320,480
C10.Q16.5C2 = Dic10⋊Q8φ: C2/C1 → C2 ⊆ Out C10.Q16320C10.Q16.5C2320,481
C10.Q16.6C2 = Dic10.Q8φ: C2/C1 → C2 ⊆ Out C10.Q16320C10.Q16.6C2320,484
C10.Q16.7C2 = Dic5⋊5Q16φ: C2/C1 → C2 ⊆ Out C10.Q16320C10.Q16.7C2320,500
C10.Q16.8C2 = Dic10⋊2Q8φ: C2/C1 → C2 ⊆ Out C10.Q16320C10.Q16.8C2320,502
C10.Q16.9C2 = Dic10.2Q8φ: C2/C1 → C2 ⊆ Out C10.Q16320C10.Q16.9C2320,504
C10.Q16.10C2 = C42.59D10φ: C2/C1 → C2 ⊆ Out C10.Q16320C10.Q16.10C2320,657
C10.Q16.11C2 = C20⋊7Q16φ: C2/C1 → C2 ⊆ Out C10.Q16320C10.Q16.11C2320,658
C10.Q16.12C2 = Dic10.4Q8φ: C2/C1 → C2 ⊆ Out C10.Q16320C10.Q16.12C2320,690
C10.Q16.13C2 = C42.71D10φ: C2/C1 → C2 ⊆ Out C10.Q16320C10.Q16.13C2320,696
C10.Q16.14C2 = Dic10⋊5Q8φ: C2/C1 → C2 ⊆ Out C10.Q16320C10.Q16.14C2320,718
C10.Q16.15C2 = C20.11Q16φ: C2/C1 → C2 ⊆ Out C10.Q16320C10.Q16.15C2320,720
C10.Q16.16C2 = Dic10⋊6Q8φ: C2/C1 → C2 ⊆ Out C10.Q16320C10.Q16.16C2320,721
C10.Q16.17C2 = C4×C5⋊Q16φ: trivial image320C10.Q16.17C2320,656

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