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

Direct product G=N×Q with N=Q8⋊Q8 and Q=C2
dρLabelID
C2×Q8⋊Q8128C2xQ8:Q8128,1805

Semidirect products G=N:Q with N=Q8⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8⋊Q8⋊1C2 = C42.220D4φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:1C2128,1810
Q8⋊Q8⋊2C2 = C42.448D4φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:2C2128,1811
Q8⋊Q8⋊3C2 = C42.21C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:3C2128,1814
Q8⋊Q8⋊4C2 = C42.23C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:4C2128,1816
Q8⋊Q8⋊5C2 = C42.231D4φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:5C2128,1845
Q8⋊Q8⋊6C2 = C42.233D4φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:6C2128,1847
Q8⋊Q8⋊7C2 = C42.355C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:7C2128,1853
Q8⋊Q8⋊8C2 = C42.359C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:8C2128,1857
Q8⋊Q8⋊9C2 = C42.289D4φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:9C2128,1969
Q8⋊Q8⋊10C2 = C42.291D4φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:10C2128,1971
Q8⋊Q8⋊11C2 = C42.424C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:11C2128,1974
Q8⋊Q8⋊12C2 = C42.426C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:12C2128,1976
Q8⋊Q8⋊13C2 = C42.299D4φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:13C2128,1983
Q8⋊Q8⋊14C2 = C42.303D4φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:14C2128,1987
Q8⋊Q8⋊15C2 = C42.25C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:15C2128,1990
Q8⋊Q8⋊16C2 = C42.30C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:16C2128,1995
Q8⋊Q8⋊17C2 = C42.51C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:17C2128,2048
Q8⋊Q8⋊18C2 = C42.56C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:18C2128,2053
Q8⋊Q8⋊19C2 = C42.477C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:19C2128,2060
Q8⋊Q8⋊20C2 = C42.481C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:20C2128,2064
Q8⋊Q8⋊21C2 = C42.58C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:21C2128,2076
Q8⋊Q8⋊22C2 = C42.62C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:22C2128,2080
Q8⋊Q8⋊23C2 = C42.494C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:23C2128,2085
Q8⋊Q8⋊24C2 = C42.497C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:24C2128,2088
Q8⋊Q8⋊25C2 = C42.510C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:25C2128,2101
Q8⋊Q8⋊26C2 = C42.514C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:26C2128,2105
Q8⋊Q8⋊27C2 = C42.517C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:27C2128,2108
Q8⋊Q8⋊28C2 = SD16⋊2Q8φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:28C2128,2118
Q8⋊Q8⋊29C2 = SD16⋊3Q8φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:29C2128,2120
Q8⋊Q8⋊30C2 = C42.201C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:30C2128,372
Q8⋊Q8⋊31C2 = Q8⋊3SD16φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:31C2128,374
Q8⋊Q8⋊32C2 = D4.5SD16φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:32C2128,375
Q8⋊Q8⋊33C2 = C42.211C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:33C2128,382
Q8⋊Q8⋊34C2 = Q8⋊4SD16φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:34C2128,383
Q8⋊Q8⋊35C2 = C8⋊14SD16φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:35C2128,398
Q8⋊Q8⋊36C2 = C8⋊SD16φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:36C2128,418
Q8⋊Q8⋊37C2 = C42.281D4φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:37C2128,1961
Q8⋊Q8⋊38C2 = C42.285D4φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:38C2128,1965
Q8⋊Q8⋊39C2 = C42.294D4φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:39C2128,1978
Q8⋊Q8⋊40C2 = C42.296D4φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:40C2128,1980
Q8⋊Q8⋊41C2 = D4⋊8SD16φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:41C2128,2030
Q8⋊Q8⋊42C2 = C42.469C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:42C2128,2036
Q8⋊Q8⋊43C2 = D4⋊9SD16φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:43C2128,2067
Q8⋊Q8⋊44C2 = C42.491C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:44C2128,2074
Q8⋊Q8⋊45C2 = Q8⋊7SD16φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:45C2128,2091
Q8⋊Q8⋊46C2 = C42.506C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:46C2128,2097
Q8⋊Q8⋊47C2 = Q8×SD16φ: C2/C1 → C2 ⊆ Out Q8⋊Q864Q8:Q8:47C2128,2111
Q8⋊Q8⋊48C2 = C42.447D4φ: trivial image64Q8:Q8:48C2128,1808
Q8⋊Q8⋊49C2 = C42.223D4φ: trivial image64Q8:Q8:49C2128,1835
Q8⋊Q8⋊50C2 = C42.451D4φ: trivial image64Q8:Q8:50C2128,1839

Non-split extensions G=N.Q with N=Q8⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8⋊Q8.1C2 = C42.515C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q8128Q8:Q8.1C2128,2106
Q8⋊Q8.2C2 = Q16⋊4Q8φ: C2/C1 → C2 ⊆ Out Q8⋊Q8128Q8:Q8.2C2128,2119
Q8⋊Q8.3C2 = Q8⋊3Q16φ: C2/C1 → C2 ⊆ Out Q8⋊Q8128Q8:Q8.3C2128,377
Q8⋊Q8.4C2 = Q8⋊4Q16φ: C2/C1 → C2 ⊆ Out Q8⋊Q8128Q8:Q8.4C2128,380
Q8⋊Q8.5C2 = Q8.SD16φ: C2/C1 → C2 ⊆ Out Q8⋊Q8128Q8:Q8.5C2128,385
Q8⋊Q8.6C2 = Q8⋊1Q16φ: C2/C1 → C2 ⊆ Out Q8⋊Q8128Q8:Q8.6C2128,402
Q8⋊Q8.7C2 = Q8.3SD16φ: C2/C1 → C2 ⊆ Out Q8⋊Q8128Q8:Q8.7C2128,412
Q8⋊Q8.8C2 = Q8.2Q16φ: C2/C1 → C2 ⊆ Out Q8⋊Q8128Q8:Q8.8C2128,416
Q8⋊Q8.9C2 = C8.SD16φ: C2/C1 → C2 ⊆ Out Q8⋊Q8128Q8:Q8.9C2128,422
Q8⋊Q8.10C2 = C42.251C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q8128Q8:Q8.10C2128,432
Q8⋊Q8.11C2 = C42.255C23φ: C2/C1 → C2 ⊆ Out Q8⋊Q8128Q8:Q8.11C2128,436
Q8⋊Q8.12C2 = Q16⋊6Q8φ: C2/C1 → C2 ⊆ Out Q8⋊Q8128Q8:Q8.12C2128,2115

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