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Extensions 1→N→G→Q→1 with N=C20.Q8 and Q=C2

Direct product G=N×Q with N=C20.Q8 and Q=C2
dρLabelID
C2×C20.Q8320C2xC20.Q8320,590

Semidirect products G=N:Q with N=C20.Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C20.Q8⋊1C2 = Dic5⋊6SD16φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:1C2320,385
C20.Q8⋊2C2 = D4⋊Dic10φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:2C2320,388
C20.Q8⋊3C2 = D4.2Dic10φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:3C2320,393
C20.Q8⋊4C2 = D10.16SD16φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:4C2320,404
C20.Q8⋊5C2 = D10⋊SD16φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:5C2320,405
C20.Q8⋊6C2 = C5⋊(C8⋊2D4)φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:6C2320,409
C20.Q8⋊7C2 = C40⋊5C4⋊C2φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:7C2320,411
C20.Q8⋊8C2 = D4⋊D5⋊6C4φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:8C2320,412
C20.Q8⋊9C2 = Dic5⋊7SD16φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:9C2320,415
C20.Q8⋊10C2 = D10.11SD16φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:10C2320,432
C20.Q8⋊11C2 = D10⋊2SD16φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:11C2320,434
C20.Q8⋊12C2 = (C2×C8).D10φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:12C2320,441
C20.Q8⋊13C2 = C5⋊2C8.D4φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:13C2320,443
C20.Q8⋊14C2 = D5×C4.Q8φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:14C2320,486
C20.Q8⋊15C2 = C8⋊(C4×D5)φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:15C2320,488
C20.Q8⋊16C2 = D10.12SD16φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:16C2320,489
C20.Q8⋊17C2 = D10.17SD16φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:17C2320,490
C20.Q8⋊18C2 = D20⋊Q8φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:18C2320,497
C20.Q8⋊19C2 = C8.27(C4×D5)φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:19C2320,507
C20.Q8⋊20C2 = C40⋊20(C2×C4)φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:20C2320,508
C20.Q8⋊21C2 = C2.D8⋊D5φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:21C2320,512
C20.Q8⋊22C2 = C2.D8⋊7D5φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:22C2320,515
C20.Q8⋊23C2 = D20.2Q8φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:23C2320,518
C20.Q8⋊24C2 = C20.47(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:24C2320,591
C20.Q8⋊25C2 = C4⋊C4.228D10φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:25C2320,595
C20.Q8⋊26C2 = C4⋊C4.231D10φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:26C2320,598
C20.Q8⋊27C2 = C20.64(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:27C2320,622
C20.Q8⋊28C2 = C4⋊C4.233D10φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:28C2320,623
C20.Q8⋊29C2 = C4⋊C4.236D10φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:29C2320,630
C20.Q8⋊30C2 = C20.38SD16φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:30C2320,635
C20.Q8⋊31C2 = D4.3Dic10φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:31C2320,636
C20.Q8⋊32C2 = C42.48D10φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:32C2320,641
C20.Q8⋊33C2 = C4⋊D4.D5φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:33C2320,661
C20.Q8⋊34C2 = (C2×D4).D10φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:34C2320,662
C20.Q8⋊35C2 = C4⋊D4⋊D5φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:35C2320,666
C20.Q8⋊36C2 = C5⋊2C8⋊23D4φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:36C2320,668
C20.Q8⋊37C2 = C22⋊Q8.D5φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:37C2320,670
C20.Q8⋊38C2 = C10.(C4○D8)φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:38C2320,672
C20.Q8⋊39C2 = C5⋊2C8⋊24D4φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:39C2320,675
C20.Q8⋊40C2 = C5⋊(C8.D4)φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:40C2320,679
C20.Q8⋊41C2 = D20.4Q8φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:41C2320,693
C20.Q8⋊42C2 = D20⋊5Q8φ: C2/C1 → C2 ⊆ Out C20.Q8160C20.Q8:42C2320,711
C20.Q8⋊43C2 = C20.76(C4⋊C4)φ: trivial image160C20.Q8:43C2320,625
C20.Q8⋊44C2 = C4×D4.D5φ: trivial image160C20.Q8:44C2320,644
C20.Q8⋊45C2 = C4×Q8⋊D5φ: trivial image160C20.Q8:45C2320,652

Non-split extensions G=N.Q with N=C20.Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C20.Q8.1C2 = C5⋊Q16⋊5C4φ: C2/C1 → C2 ⊆ Out C20.Q8320C20.Q8.1C2320,416
C20.Q8.2C2 = Q8⋊Dic10φ: C2/C1 → C2 ⊆ Out C20.Q8320C20.Q8.2C2320,418
C20.Q8.3C2 = Q8.Dic10φ: C2/C1 → C2 ⊆ Out C20.Q8320C20.Q8.3C2320,423
C20.Q8.4C2 = Dic10⋊Q8φ: C2/C1 → C2 ⊆ Out C20.Q8320C20.Q8.4C2320,481
C20.Q8.5C2 = C40⋊5Q8φ: C2/C1 → C2 ⊆ Out C20.Q8320C20.Q8.5C2320,482
C20.Q8.6C2 = C40⋊3Q8φ: C2/C1 → C2 ⊆ Out C20.Q8320C20.Q8.6C2320,483
C20.Q8.7C2 = C40⋊4Q8φ: C2/C1 → C2 ⊆ Out C20.Q8320C20.Q8.7C2320,503
C20.Q8.8C2 = Dic10.2Q8φ: C2/C1 → C2 ⊆ Out C20.Q8320C20.Q8.8C2320,504
C20.Q8.9C2 = C8.6Dic10φ: C2/C1 → C2 ⊆ Out C20.Q8320C20.Q8.9C2320,505
C20.Q8.10C2 = C20.48SD16φ: C2/C1 → C2 ⊆ Out C20.Q8320C20.Q8.10C2320,647
C20.Q8.11C2 = Q8.3Dic10φ: C2/C1 → C2 ⊆ Out C20.Q8320C20.Q8.11C2320,649
C20.Q8.12C2 = C42.59D10φ: C2/C1 → C2 ⊆ Out C20.Q8320C20.Q8.12C2320,657
C20.Q8.13C2 = Dic10.4Q8φ: C2/C1 → C2 ⊆ Out C20.Q8320C20.Q8.13C2320,690
C20.Q8.14C2 = C42.215D10φ: C2/C1 → C2 ⊆ Out C20.Q8320C20.Q8.14C2320,691
C20.Q8.15C2 = C42.68D10φ: C2/C1 → C2 ⊆ Out C20.Q8320C20.Q8.15C2320,692
C20.Q8.16C2 = C20.SD16φ: C2/C1 → C2 ⊆ Out C20.Q8320C20.Q8.16C2320,706
C20.Q8.17C2 = C42.76D10φ: C2/C1 → C2 ⊆ Out C20.Q8320C20.Q8.17C2320,707
C20.Q8.18C2 = Dic10⋊6Q8φ: C2/C1 → C2 ⊆ Out C20.Q8320C20.Q8.18C2320,721

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