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Extensions 1→N→G→Q→1 with N=C8⋊5D4 and Q=C2

Direct product G=N×Q with N=C8⋊5D4 and Q=C2
dρLabelID
C2×C8⋊5D464C2xC8:5D4128,1875

Semidirect products G=N:Q with N=C8⋊5D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊5D4⋊1C2 = C8⋊D8φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4:1C2128,417
C8⋊5D4⋊2C2 = C8⋊3D8φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4:2C2128,453
C8⋊5D4⋊3C2 = M4(2)⋊7D4φ: C2/C1 → C2 ⊆ Out C8⋊5D432C8:5D4:3C2128,1883
C8⋊5D4⋊4C2 = M4(2)⋊8D4φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4:4C2128,1884
C8⋊5D4⋊5C2 = M4(2)⋊10D4φ: C2/C1 → C2 ⊆ Out C8⋊5D432C8:5D4:5C2128,1886
C8⋊5D4⋊6C2 = C42.386C23φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4:6C2128,1906
C8⋊5D4⋊7C2 = C42.259D4φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4:7C2128,1914
C8⋊5D4⋊8C2 = D8⋊4D4φ: C2/C1 → C2 ⊆ Out C8⋊5D432C8:5D4:8C2128,2004
C8⋊5D4⋊9C2 = Q16⋊5D4φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4:9C2128,2010
C8⋊5D4⋊10C2 = D8⋊6D4φ: C2/C1 → C2 ⊆ Out C8⋊5D4164C8:5D4:10C2128,2023
C8⋊5D4⋊11C2 = C42.72C23φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4:11C2128,2129
C8⋊5D4⋊12C2 = D4⋊SD16φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4:12C2128,354
C8⋊5D4⋊13C2 = C42.185C23φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4:13C2128,356
C8⋊5D4⋊14C2 = D4⋊2SD16φ: C2/C1 → C2 ⊆ Out C8⋊5D432C8:5D4:14C2128,361
C8⋊5D4⋊15C2 = Q8⋊2SD16φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4:15C2128,363
C8⋊5D4⋊16C2 = C8⋊8D8φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4:16C2128,397
C8⋊5D4⋊17C2 = C8⋊5D8φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4:17C2128,438
C8⋊5D4⋊18C2 = C8⋊6SD16φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4:18C2128,447
C8⋊5D4⋊19C2 = C42.664C23φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4:19C2128,449
C8⋊5D4⋊20C2 = C42.264D4φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4:20C2128,1938
C8⋊5D4⋊21C2 = C42.265D4φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4:21C2128,1939
C8⋊5D4⋊22C2 = C42.266D4φ: C2/C1 → C2 ⊆ Out C8⋊5D432C8:5D4:22C2128,1940
C8⋊5D4⋊23C2 = C42.268D4φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4:23C2128,1942
C8⋊5D4⋊24C2 = C42.407C23φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4:24C2128,1953
C8⋊5D4⋊25C2 = C42.408C23φ: C2/C1 → C2 ⊆ Out C8⋊5D432C8:5D4:25C2128,1954
C8⋊5D4⋊26C2 = D4×SD16φ: C2/C1 → C2 ⊆ Out C8⋊5D432C8:5D4:26C2128,2013
C8⋊5D4⋊27C2 = SD16⋊11D4φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4:27C2128,2016
C8⋊5D4⋊28C2 = Q8⋊9SD16φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4:28C2128,2124
C8⋊5D4⋊29C2 = C42.528C23φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4:29C2128,2126
C8⋊5D4⋊30C2 = C42.360D4φ: trivial image64C8:5D4:30C2128,1879
C8⋊5D4⋊31C2 = C42.365D4φ: trivial image64C8:5D4:31C2128,1899

Non-split extensions G=N.Q with N=C8⋊5D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊5D4.1C2 = C8.29D8φ: C2/C1 → C2 ⊆ Out C8⋊5D4164C8:5D4.1C2128,91
C8⋊5D4.2C2 = C8⋊SD16φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4.2C2128,418
C8⋊5D4.3C2 = C8⋊5SD16φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4.3C2128,446
C8⋊5D4.4C2 = C8.2D8φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4.4C2128,454
C8⋊5D4.5C2 = C42.75C23φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4.5C2128,2132
C8⋊5D4.6C2 = (C4×C8)⋊6C4φ: C2/C1 → C2 ⊆ Out C8⋊5D4164C8:5D4.6C2128,141
C8⋊5D4.7C2 = (C4×C8).C4φ: C2/C1 → C2 ⊆ Out C8⋊5D4164C8:5D4.7C2128,142
C8⋊5D4.8C2 = Q8⋊SD16φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4.8C2128,355
C8⋊5D4.9C2 = C42.191C23φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4.9C2128,362
C8⋊5D4.10C2 = C8⋊14SD16φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4.10C2128,398
C8⋊5D4.11C2 = C8⋊8SD16φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4.11C2128,437
C8⋊5D4.12C2 = C82⋊12C2φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4.12C2128,440
C8⋊5D4.13C2 = C42.666C23φ: C2/C1 → C2 ⊆ Out C8⋊5D464C8:5D4.13C2128,451

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