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Extensions 1→N→G→Q→1 with N=Q8⋊Dic5 and Q=C2

Direct product G=N×Q with N=Q8⋊Dic5 and Q=C2
dρLabelID
C2×Q8⋊Dic5320C2xQ8:Dic5320,851

Semidirect products G=N:Q with N=Q8⋊Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8⋊Dic5⋊1C2 = Q8⋊C4⋊D5φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:1C2320,422
Q8⋊Dic5⋊2C2 = Q8⋊Dic5⋊C2φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:2C2320,427
Q8⋊Dic5⋊3C2 = D5×Q8⋊C4φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:3C2320,428
Q8⋊Dic5⋊4C2 = (Q8×D5)⋊C4φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:4C2320,429
Q8⋊Dic5⋊5C2 = Q8⋊(C4×D5)φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:5C2320,430
Q8⋊Dic5⋊6C2 = Q8⋊2D5⋊C4φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:6C2320,431
Q8⋊Dic5⋊7C2 = D10.11SD16φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:7C2320,432
Q8⋊Dic5⋊8C2 = D10.7Q16φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:8C2320,436
Q8⋊Dic5⋊9C2 = (C2×C8).D10φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:9C2320,441
Q8⋊Dic5⋊10C2 = D10⋊1C8.C2φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:10C2320,442
Q8⋊Dic5⋊11C2 = C42.56D10φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:11C2320,653
Q8⋊Dic5⋊12C2 = C22⋊Q8.D5φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:12C2320,670
Q8⋊Dic5⋊13C2 = (C2×C10).Q16φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:13C2320,671
Q8⋊Dic5⋊14C2 = C10.(C4○D8)φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:14C2320,672
Q8⋊Dic5⋊15C2 = C5⋊2C8⋊24D4φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:15C2320,675
Q8⋊Dic5⋊16C2 = C22⋊Q8⋊D5φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:16C2320,676
Q8⋊Dic5⋊17C2 = (C2×C10)⋊Q16φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:17C2320,678
Q8⋊Dic5⋊18C2 = C5⋊(C8.D4)φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:18C2320,679
Q8⋊Dic5⋊19C2 = C42.61D10φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:19C2320,681
Q8⋊Dic5⋊20C2 = C42.62D10φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:20C2320,682
Q8⋊Dic5⋊21C2 = C42.213D10φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:21C2320,683
Q8⋊Dic5⋊22C2 = D20.23D4φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:22C2320,684
Q8⋊Dic5⋊23C2 = C20⋊5SD16φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:23C2320,710
Q8⋊Dic5⋊24C2 = SD16×Dic5φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:24C2320,788
Q8⋊Dic5⋊25C2 = Dic5⋊3SD16φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:25C2320,789
Q8⋊Dic5⋊26C2 = SD16⋊Dic5φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:26C2320,791
Q8⋊Dic5⋊27C2 = (C5×D4).D4φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:27C2320,792
Q8⋊Dic5⋊28C2 = D10⋊8SD16φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:28C2320,797
Q8⋊Dic5⋊29C2 = C40⋊14D4φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:29C2320,798
Q8⋊Dic5⋊30C2 = D20⋊7D4φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:30C2320,799
Q8⋊Dic5⋊31C2 = C40⋊8D4φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:31C2320,801
Q8⋊Dic5⋊32C2 = (C2×Q16)⋊D5φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:32C2320,812
Q8⋊Dic5⋊33C2 = D10⋊5Q16φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:33C2320,813
Q8⋊Dic5⋊34C2 = D20.17D4φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:34C2320,814
Q8⋊Dic5⋊35C2 = D10⋊3Q16φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:35C2320,815
Q8⋊Dic5⋊36C2 = C40.36D4φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:36C2320,816
Q8⋊Dic5⋊37C2 = (Q8×C10)⋊16C4φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:37C2320,852
Q8⋊Dic5⋊38C2 = (C5×Q8)⋊13D4φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:38C2320,854
Q8⋊Dic5⋊39C2 = (C2×C10)⋊8Q16φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:39C2320,855
Q8⋊Dic5⋊40C2 = C4○D4⋊Dic5φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:40C2320,859
Q8⋊Dic5⋊41C2 = (C5×D4)⋊14D4φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:41C2320,865
Q8⋊Dic5⋊42C2 = (C5×D4).32D4φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5160Q8:Dic5:42C2320,866
Q8⋊Dic5⋊43C2 = C4×Q8⋊D5φ: trivial image160Q8:Dic5:43C2320,652
Q8⋊Dic5⋊44C2 = C20.(C2×D4)φ: trivial image160Q8:Dic5:44C2320,860

Non-split extensions G=N.Q with N=Q8⋊Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8⋊Dic5.1C2 = Q8⋊Dic10φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5320Q8:Dic5.1C2320,418
Q8⋊Dic5.2C2 = Dic5.3Q16φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5320Q8:Dic5.2C2320,419
Q8⋊Dic5.3C2 = Dic5.9Q16φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5320Q8:Dic5.3C2320,421
Q8⋊Dic5.4C2 = Q8.Dic10φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5320Q8:Dic5.4C2320,423
Q8⋊Dic5.5C2 = C40⋊8C4.C2φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5320Q8:Dic5.5C2320,424
Q8⋊Dic5.6C2 = Q8.2Dic10φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5320Q8:Dic5.6C2320,426
Q8⋊Dic5.7C2 = C20.48SD16φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5320Q8:Dic5.7C2320,647
Q8⋊Dic5.8C2 = C20.23Q16φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5320Q8:Dic5.8C2320,648
Q8⋊Dic5.9C2 = Q8.3Dic10φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5320Q8:Dic5.9C2320,649
Q8⋊Dic5.10C2 = C42.59D10φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5320Q8:Dic5.10C2320,657
Q8⋊Dic5.11C2 = C20.Q16φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5320Q8:Dic5.11C2320,708
Q8⋊Dic5.12C2 = C42.77D10φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5320Q8:Dic5.12C2320,709
Q8⋊Dic5.13C2 = C20⋊Q16φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5320Q8:Dic5.13C2320,717
Q8⋊Dic5.14C2 = Dic5⋊3Q16φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5320Q8:Dic5.14C2320,809
Q8⋊Dic5.15C2 = Q16×Dic5φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5320Q8:Dic5.15C2320,810
Q8⋊Dic5.16C2 = Q16⋊Dic5φ: C2/C1 → C2 ⊆ Out Q8⋊Dic5320Q8:Dic5.16C2320,811
Q8⋊Dic5.17C2 = C4×C5⋊Q16φ: trivial image320Q8:Dic5.17C2320,656

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