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Extensions 1→N→G→Q→1 with N=D4⋊Q8 and Q=C2

Direct product G=N×Q with N=D4⋊Q8 and Q=C2
dρLabelID
C2×D4⋊Q864C2xD4:Q8128,1802

Semidirect products G=N:Q with N=D4⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
D4⋊Q8⋊1C2 = D4.D8φ: C2/C1 → C2 ⊆ Out D4⋊Q832D4:Q8:1C2128,371
D4⋊Q8⋊2C2 = Q8.D8φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:2C2128,373
D4⋊Q8⋊3C2 = C42.207C23φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:3C2128,378
D4⋊Q8⋊4C2 = D4.7D8φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:4C2128,379
D4⋊Q8⋊5C2 = D4⋊4SD16φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:5C2128,386
D4⋊Q8⋊6C2 = C8⋊8D8φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:6C2128,397
D4⋊Q8⋊7C2 = C8⋊D8φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:7C2128,417
D4⋊Q8⋊8C2 = C42.278D4φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:8C2128,1958
D4⋊Q8⋊9C2 = C42.285D4φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:9C2128,1965
D4⋊Q8⋊10C2 = C42.293D4φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:10C2128,1977
D4⋊Q8⋊11C2 = C42.296D4φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:11C2128,1980
D4⋊Q8⋊12C2 = D4⋊4D8φ: C2/C1 → C2 ⊆ Out D4⋊Q832D4:Q8:12C2128,2026
D4⋊Q8⋊13C2 = C42.467C23φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:13C2128,2034
D4⋊Q8⋊14C2 = D4⋊5D8φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:14C2128,2066
D4⋊Q8⋊15C2 = C42.489C23φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:15C2128,2072
D4⋊Q8⋊16C2 = Q8⋊4D8φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:16C2128,2090
D4⋊Q8⋊17C2 = Q8×D8φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:17C2128,2110
D4⋊Q8⋊18C2 = C42.219D4φ: C2/C1 → C2 ⊆ Out D4⋊Q832D4:Q8:18C2128,1809
D4⋊Q8⋊19C2 = C42.448D4φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:19C2128,1811
D4⋊Q8⋊20C2 = C42.20C23φ: C2/C1 → C2 ⊆ Out D4⋊Q832D4:Q8:20C2128,1813
D4⋊Q8⋊21C2 = C42.22C23φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:21C2128,1815
D4⋊Q8⋊22C2 = C42.228D4φ: C2/C1 → C2 ⊆ Out D4⋊Q832D4:Q8:22C2128,1842
D4⋊Q8⋊23C2 = C42.233D4φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:23C2128,1847
D4⋊Q8⋊24C2 = C42.352C23φ: C2/C1 → C2 ⊆ Out D4⋊Q832D4:Q8:24C2128,1850
D4⋊Q8⋊25C2 = C42.358C23φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:25C2128,1856
D4⋊Q8⋊26C2 = C42.287D4φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:26C2128,1967
D4⋊Q8⋊27C2 = C42.291D4φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:27C2128,1971
D4⋊Q8⋊28C2 = C42.423C23φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:28C2128,1973
D4⋊Q8⋊29C2 = C42.425C23φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:29C2128,1975
D4⋊Q8⋊30C2 = C42.299D4φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:30C2128,1983
D4⋊Q8⋊31C2 = C42.302D4φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:31C2128,1986
D4⋊Q8⋊32C2 = C4.2- 1+4φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:32C2128,1989
D4⋊Q8⋊33C2 = C42.29C23φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:33C2128,1994
D4⋊Q8⋊34C2 = C42.49C23φ: C2/C1 → C2 ⊆ Out D4⋊Q832D4:Q8:34C2128,2046
D4⋊Q8⋊35C2 = C42.54C23φ: C2/C1 → C2 ⊆ Out D4⋊Q832D4:Q8:35C2128,2051
D4⋊Q8⋊36C2 = C42.473C23φ: C2/C1 → C2 ⊆ Out D4⋊Q832D4:Q8:36C2128,2056
D4⋊Q8⋊37C2 = C42.479C23φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:37C2128,2062
D4⋊Q8⋊38C2 = C42.60C23φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:38C2128,2078
D4⋊Q8⋊39C2 = C42.61C23φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:39C2128,2079
D4⋊Q8⋊40C2 = C42.494C23φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:40C2128,2085
D4⋊Q8⋊41C2 = C42.495C23φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:41C2128,2086
D4⋊Q8⋊42C2 = C42.508C23φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:42C2128,2099
D4⋊Q8⋊43C2 = C42.509C23φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:43C2128,2100
D4⋊Q8⋊44C2 = C42.511C23φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:44C2128,2102
D4⋊Q8⋊45C2 = C42.516C23φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:45C2128,2107
D4⋊Q8⋊46C2 = D8⋊4Q8φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:46C2128,2116
D4⋊Q8⋊47C2 = D8⋊5Q8φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8:47C2128,2121
D4⋊Q8⋊48C2 = C42.447D4φ: trivial image64D4:Q8:48C2128,1808
D4⋊Q8⋊49C2 = C42.221D4φ: trivial image32D4:Q8:49C2128,1832
D4⋊Q8⋊50C2 = C42.451D4φ: trivial image64D4:Q8:50C2128,1839

Non-split extensions G=N.Q with N=D4⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
D4⋊Q8.1C2 = D4⋊3Q16φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8.1C2128,376
D4⋊Q8.2C2 = D4⋊4Q16φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8.2C2128,381
D4⋊Q8.3C2 = C42.213C23φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8.3C2128,384
D4⋊Q8.4C2 = C8.28D8φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8.4C2128,401
D4⋊Q8.5C2 = D4.3SD16φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8.5C2128,411
D4⋊Q8.6C2 = D4.Q16φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8.6C2128,415
D4⋊Q8.7C2 = C8.D8φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8.7C2128,421
D4⋊Q8.8C2 = C42.250C23φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8.8C2128,431
D4⋊Q8.9C2 = C42.254C23φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8.9C2128,435
D4⋊Q8.10C2 = C42.505C23φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8.10C2128,2096
D4⋊Q8.11C2 = SD16⋊4Q8φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8.11C2128,2113
D4⋊Q8.12C2 = SD16⋊Q8φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8.12C2128,2117
D4⋊Q8.13C2 = SD16⋊2Q8φ: C2/C1 → C2 ⊆ Out D4⋊Q864D4:Q8.13C2128,2118

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