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Extensions 1→N→G→Q→1 with N=D10⋊1C8 and Q=C2

Direct product G=N×Q with N=D10⋊1C8 and Q=C2
dρLabelID
C2×D10⋊1C8160C2xD10:1C8320,735

Semidirect products G=N:Q with N=D10⋊1C8 and Q=C2
extensionφ:Q→Out NdρLabelID
D10⋊1C8⋊1C2 = C8⋊6D20φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:1C2320,315
D10⋊1C8⋊2C2 = (C22×C8)⋊D5φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:2C2320,737
D10⋊1C8⋊3C2 = C40⋊32D4φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:3C2320,738
D10⋊1C8⋊4C2 = D4⋊D20φ: C2/C1 → C2 ⊆ Out D10⋊1C880D10:1C8:4C2320,400
D10⋊1C8⋊5C2 = D10.12D8φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:5C2320,401
D10⋊1C8⋊6C2 = D4.D20φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:6C2320,410
D10⋊1C8⋊7C2 = C40⋊5C4⋊C2φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:7C2320,411
D10⋊1C8⋊8C2 = D20⋊4D4φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:8C2320,438
D10⋊1C8⋊9C2 = D20.8D4φ: C2/C1 → C2 ⊆ Out D10⋊1C880D10:1C8:9C2320,403
D10⋊1C8⋊10C2 = D10.16SD16φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:10C2320,404
D10⋊1C8⋊11C2 = C40⋊6C4⋊C2φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:11C2320,406
D10⋊1C8⋊12C2 = D4⋊3D20φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:12C2320,408
D10⋊1C8⋊13C2 = Q8⋊2D20φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:13C2320,433
D10⋊1C8⋊14C2 = Q8.D20φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:14C2320,437
D10⋊1C8⋊15C2 = D5×C22⋊C8φ: C2/C1 → C2 ⊆ Out D10⋊1C880D10:1C8:15C2320,351
D10⋊1C8⋊16C2 = C5⋊5(C8×D4)φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:16C2320,352
D10⋊1C8⋊17C2 = D10⋊7M4(2)φ: C2/C1 → C2 ⊆ Out D10⋊1C880D10:1C8:17C2320,353
D10⋊1C8⋊18C2 = C22⋊C8⋊D5φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:18C2320,354
D10⋊1C8⋊19C2 = D10⋊4M4(2)φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:19C2320,355
D10⋊1C8⋊20C2 = Dic5⋊2M4(2)φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:20C2320,356
D10⋊1C8⋊21C2 = C5⋊2C8⋊26D4φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:21C2320,357
D10⋊1C8⋊22C2 = D20⋊5C8φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:22C2320,461
D10⋊1C8⋊23C2 = D10⋊5M4(2)φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:23C2320,463
D10⋊1C8⋊24C2 = C20⋊6M4(2)φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:24C2320,465
D10⋊1C8⋊25C2 = D10.13D8φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:25C2320,509
D10⋊1C8⋊26C2 = C2.D8⋊D5φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:26C2320,512
D10⋊1C8⋊27C2 = D20⋊D4φ: C2/C1 → C2 ⊆ Out D10⋊1C880D10:1C8:27C2320,783
D10⋊1C8⋊28C2 = Dic10⋊D4φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:28C2320,785
D10⋊1C8⋊29C2 = D20.17D4φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:29C2320,814
D10⋊1C8⋊30C2 = D10.17SD16φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:30C2320,490
D10⋊1C8⋊31C2 = C4.Q8⋊D5φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:31C2320,493
D10⋊1C8⋊32C2 = D10⋊6SD16φ: C2/C1 → C2 ⊆ Out D10⋊1C880D10:1C8:32C2320,796
D10⋊1C8⋊33C2 = D10⋊8SD16φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:33C2320,797
D10⋊1C8⋊34C2 = D20⋊7D4φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:34C2320,799
D10⋊1C8⋊35C2 = Dic10.16D4φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:35C2320,800
D10⋊1C8⋊36C2 = C8⋊9D20φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:36C2320,333
D10⋊1C8⋊37C2 = D10⋊8M4(2)φ: C2/C1 → C2 ⊆ Out D10⋊1C880D10:1C8:37C2320,753
D10⋊1C8⋊38C2 = C40⋊D4φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:38C2320,754
D10⋊1C8⋊39C2 = C40⋊18D4φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:39C2320,755
D10⋊1C8⋊40C2 = C4.89(C2×D20)φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8:40C2320,756
D10⋊1C8⋊41C2 = C8×D20φ: trivial image160D10:1C8:41C2320,313
D10⋊1C8⋊42C2 = C8×C5⋊D4φ: trivial image160D10:1C8:42C2320,736

Non-split extensions G=N.Q with N=D10⋊1C8 and Q=C2
extensionφ:Q→Out NdρLabelID
D10⋊1C8.1C2 = C42.243D10φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8.1C2320,317
D10⋊1C8.2C2 = D10⋊4Q16φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8.2C2320,435
D10⋊1C8.3C2 = D10.7Q16φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8.3C2320,436
D10⋊1C8.4C2 = (C2×C8).D10φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8.4C2320,441
D10⋊1C8.5C2 = D10.11SD16φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8.5C2320,432
D10⋊1C8.6C2 = D10⋊1C8.C2φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8.6C2320,442
D10⋊1C8.7C2 = C42.200D10φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8.7C2320,460
D10⋊1C8.8C2 = C42.202D10φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8.8C2320,462
D10⋊1C8.9C2 = C42.31D10φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8.9C2320,467
D10⋊1C8.10C2 = D10.8Q16φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8.10C2320,511
D10⋊1C8.11C2 = C2.D8⋊7D5φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8.11C2320,515
D10⋊1C8.12C2 = D10⋊5Q16φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8.12C2320,813
D10⋊1C8.13C2 = D10.12SD16φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8.13C2320,489
D10⋊1C8.14C2 = C20.(C4○D4)φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8.14C2320,494
D10⋊1C8.15C2 = C42.182D10φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8.15C2320,332
D10⋊1C8.16C2 = C42.185D10φ: C2/C1 → C2 ⊆ Out D10⋊1C8160D10:1C8.16C2320,336
D10⋊1C8.17C2 = C42.282D10φ: trivial image160D10:1C8.17C2320,312

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