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Extensions 1→N→G→Q→1 with N=C20.8Q8 and Q=C2

Direct product G=N×Q with N=C20.8Q8 and Q=C2
dρLabelID
C2×C20.8Q8320C2xC20.8Q8320,726

Semidirect products G=N:Q with N=C20.8Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C20.8Q8⋊1C2 = C42.243D10φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:1C2320,317
C20.8Q8⋊2C2 = C20.65(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:2C2320,729
C20.8Q8⋊3C2 = C40⋊32D4φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:3C2320,738
C20.8Q8⋊4C2 = Dic5.14D8φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:4C2320,386
C20.8Q8⋊5C2 = D4.2Dic10φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:5C2320,393
C20.8Q8⋊6C2 = Dic10.D4φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:6C2320,394
C20.8Q8⋊7C2 = D20⋊3D4φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:7C2320,413
C20.8Q8⋊8C2 = D20.12D4φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:8C2320,446
C20.8Q8⋊9C2 = D4⋊Dic10φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:9C2320,388
C20.8Q8⋊10C2 = Dic10⋊2D4φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:10C2320,389
C20.8Q8⋊11C2 = D4.Dic10φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:11C2320,390
C20.8Q8⋊12C2 = D20.D4φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:12C2320,414
C20.8Q8⋊13C2 = Dic10.11D4φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:13C2320,425
C20.8Q8⋊14C2 = Dic5⋊SD16φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:14C2320,445
C20.8Q8⋊15C2 = Dic5.14M4(2)φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:15C2320,345
C20.8Q8⋊16C2 = Dic5.9M4(2)φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:16C2320,346
C20.8Q8⋊17C2 = C40⋊8C4⋊C2φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:17C2320,347
C20.8Q8⋊18C2 = C5⋊5(C8×D4)φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:18C2320,352
C20.8Q8⋊19C2 = D10⋊4M4(2)φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:19C2320,355
C20.8Q8⋊20C2 = Dic5⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:20C2320,356
C20.8Q8⋊21C2 = C5⋊2C8⋊26D4φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:21C2320,357
C20.8Q8⋊22C2 = D5×C4⋊C8φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:22C2320,459
C20.8Q8⋊23C2 = C20⋊5M4(2)φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:23C2320,464
C20.8Q8⋊24C2 = C42.30D10φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:24C2320,466
C20.8Q8⋊25C2 = D20⋊2Q8φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:25C2320,517
C20.8Q8⋊26C2 = D20.2Q8φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:26C2320,518
C20.8Q8⋊27C2 = Dic5⋊D8φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:27C2320,777
C20.8Q8⋊28C2 = (C2×D8).D5φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:28C2320,780
C20.8Q8⋊29C2 = (C2×Q16)⋊D5φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:29C2320,812
C20.8Q8⋊30C2 = D20⋊Q8φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:30C2320,497
C20.8Q8⋊31C2 = D20.Q8φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:31C2320,498
C20.8Q8⋊32C2 = Dic5⋊3SD16φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:32C2320,789
C20.8Q8⋊33C2 = Dic5⋊5SD16φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:33C2320,790
C20.8Q8⋊34C2 = (C5×D4).D4φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:34C2320,792
C20.8Q8⋊35C2 = (C5×Q8).D4φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:35C2320,793
C20.8Q8⋊36C2 = C42.182D10φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:36C2320,332
C20.8Q8⋊37C2 = C42.185D10φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:37C2320,336
C20.8Q8⋊38C2 = Dic5⋊5M4(2)φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:38C2320,745
C20.8Q8⋊39C2 = C20.51(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:39C2320,746
C20.8Q8⋊40C2 = C40⋊D4φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:40C2320,754
C20.8Q8⋊41C2 = C40⋊18D4φ: C2/C1 → C2 ⊆ Out C20.8Q8160C20.8Q8:41C2320,755
C20.8Q8⋊42C2 = C42.282D10φ: trivial image160C20.8Q8:42C2320,312
C20.8Q8⋊43C2 = C8×C5⋊D4φ: trivial image160C20.8Q8:43C2320,736

Non-split extensions G=N.Q with N=C20.8Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C20.8Q8.1C2 = C40⋊11Q8φ: C2/C1 → C2 ⊆ Out C20.8Q8320C20.8Q8.1C2320,306
C20.8Q8.2C2 = Dic5⋊Q16φ: C2/C1 → C2 ⊆ Out C20.8Q8320C20.8Q8.2C2320,420
C20.8Q8.3C2 = Dic5.9Q16φ: C2/C1 → C2 ⊆ Out C20.8Q8320C20.8Q8.3C2320,421
C20.8Q8.4C2 = Q8.Dic10φ: C2/C1 → C2 ⊆ Out C20.8Q8320C20.8Q8.4C2320,423
C20.8Q8.5C2 = Q8⋊Dic10φ: C2/C1 → C2 ⊆ Out C20.8Q8320C20.8Q8.5C2320,418
C20.8Q8.6C2 = Q8.2Dic10φ: C2/C1 → C2 ⊆ Out C20.8Q8320C20.8Q8.6C2320,426
C20.8Q8.7C2 = Dic5.5M4(2)φ: C2/C1 → C2 ⊆ Out C20.8Q8320C20.8Q8.7C2320,455
C20.8Q8.8C2 = Dic10⋊5C8φ: C2/C1 → C2 ⊆ Out C20.8Q8320C20.8Q8.8C2320,457
C20.8Q8.9C2 = C42.198D10φ: C2/C1 → C2 ⊆ Out C20.8Q8320C20.8Q8.9C2320,458
C20.8Q8.10C2 = Dic10⋊2Q8φ: C2/C1 → C2 ⊆ Out C20.8Q8320C20.8Q8.10C2320,502
C20.8Q8.11C2 = Dic10.2Q8φ: C2/C1 → C2 ⊆ Out C20.8Q8320C20.8Q8.11C2320,504
C20.8Q8.12C2 = Dic5⋊3Q16φ: C2/C1 → C2 ⊆ Out C20.8Q8320C20.8Q8.12C2320,809
C20.8Q8.13C2 = Dic10⋊Q8φ: C2/C1 → C2 ⊆ Out C20.8Q8320C20.8Q8.13C2320,481
C20.8Q8.14C2 = Dic10.Q8φ: C2/C1 → C2 ⊆ Out C20.8Q8320C20.8Q8.14C2320,484
C20.8Q8.15C2 = C40⋊Q8φ: C2/C1 → C2 ⊆ Out C20.8Q8320C20.8Q8.15C2320,328
C20.8Q8.16C2 = C8×Dic10φ: trivial image320C20.8Q8.16C2320,305

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