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Extensions 1→N→G→Q→1 with N=C8⋊4D4 and Q=C2

Direct product G=N×Q with N=C8⋊4D4 and Q=C2
dρLabelID
C2×C8⋊4D464C2xC8:4D4128,1876

Semidirect products G=N:Q with N=C8⋊4D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊4D4⋊1C2 = D4⋊D8φ: C2/C1 → C2 ⊆ Out C8⋊4D432C8:4D4:1C2128,351
C8⋊4D4⋊2C2 = Q8⋊D8φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4:2C2128,353
C8⋊4D4⋊3C2 = C8⋊7D8φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4:3C2128,399
C8⋊4D4⋊4C2 = C8⋊4D8φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4:4C2128,444
C8⋊4D4⋊5C2 = C8⋊3D8φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4:5C2128,453
C8⋊4D4⋊6C2 = D8⋊2D4φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4:6C2128,938
C8⋊4D4⋊7C2 = C4⋊D16φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4:7C2128,978
C8⋊4D4⋊8C2 = C42.263D4φ: C2/C1 → C2 ⊆ Out C8⋊4D432C8:4D4:8C2128,1937
C8⋊4D4⋊9C2 = C42.265D4φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4:9C2128,1939
C8⋊4D4⋊10C2 = C42.406C23φ: C2/C1 → C2 ⊆ Out C8⋊4D432C8:4D4:10C2128,1952
C8⋊4D4⋊11C2 = D4×D8φ: C2/C1 → C2 ⊆ Out C8⋊4D432C8:4D4:11C2128,2011
C8⋊4D4⋊12C2 = Q16⋊13D4φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4:12C2128,2019
C8⋊4D4⋊13C2 = Q8⋊5D8φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4:13C2128,2123
C8⋊4D4⋊14C2 = C8⋊2D8φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4:14C2128,419
C8⋊4D4⋊15C2 = D8⋊3D4φ: C2/C1 → C2 ⊆ Out C8⋊4D4164+C8:4D4:15C2128,945
C8⋊4D4⋊16C2 = C16⋊3D4φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4:16C2128,982
C8⋊4D4⋊17C2 = M4(2)⋊7D4φ: C2/C1 → C2 ⊆ Out C8⋊4D432C8:4D4:17C2128,1883
C8⋊4D4⋊18C2 = M4(2)⋊11D4φ: C2/C1 → C2 ⊆ Out C8⋊4D432C8:4D4:18C2128,1887
C8⋊4D4⋊19C2 = C42.388C23φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4:19C2128,1908
C8⋊4D4⋊20C2 = C42.261D4φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4:20C2128,1916
C8⋊4D4⋊21C2 = SD16⋊1D4φ: C2/C1 → C2 ⊆ Out C8⋊4D432C8:4D4:21C2128,2006
C8⋊4D4⋊22C2 = D8○D8φ: C2/C1 → C2 ⊆ Out C8⋊4D4164+C8:4D4:22C2128,2024
C8⋊4D4⋊23C2 = C42.74C23φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4:23C2128,2131
C8⋊4D4⋊24C2 = C42.360D4φ: trivial image64C8:4D4:24C2128,1879
C8⋊4D4⋊25C2 = C42.366D4φ: trivial image64C8:4D4:25C2128,1901

Non-split extensions G=N.Q with N=C8⋊4D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊4D4.1C2 = C4.D16φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4.1C2128,93
C8⋊4D4.2C2 = C4⋊1D4⋊C4φ: C2/C1 → C2 ⊆ Out C8⋊4D4164+C8:4D4.2C2128,140
C8⋊4D4.3C2 = C42.181C23φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4.3C2128,352
C8⋊4D4.4C2 = C8⋊13SD16φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4.4C2128,400
C8⋊4D4.5C2 = C8⋊5D8φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4.5C2128,438
C8⋊4D4.6C2 = C82⋊5C2φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4.6C2128,441
C8⋊4D4.7C2 = C42.664C23φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4.7C2128,449
C8⋊4D4.8C2 = Q16⋊2D4φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4.8C2128,939
C8⋊4D4.9C2 = C4.4D16φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4.9C2128,972
C8⋊4D4.10C2 = C16⋊5D4φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4.10C2128,980
C8⋊4D4.11C2 = C42.530C23φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4.11C2128,2128
C8⋊4D4.12C2 = C8.24D8φ: C2/C1 → C2 ⊆ Out C8⋊4D4164+C8:4D4.12C2128,89
C8⋊4D4.13C2 = C8⋊2SD16φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4.13C2128,420
C8⋊4D4.14C2 = C8⋊6SD16φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4.14C2128,447
C8⋊4D4.15C2 = C8.13SD16φ: C2/C1 → C2 ⊆ Out C8⋊4D464C8:4D4.15C2128,976

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