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Extensions 1→N→G→Q→1 with N=C8⋊2Q8 and Q=C2

Direct product G=N×Q with N=C8⋊2Q8 and Q=C2
dρLabelID
C2×C8⋊2Q8128C2xC8:2Q8128,1891

Semidirect products G=N:Q with N=C8⋊2Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊2Q8⋊1C2 = D4.7D8φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:1C2128,379
C8⋊2Q8⋊2C2 = D4⋊4Q16φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:2C2128,381
C8⋊2Q8⋊3C2 = C42.211C23φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:3C2128,382
C8⋊2Q8⋊4C2 = C8⋊10SD16φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:4C2128,405
C8⋊2Q8⋊5C2 = D4.1Q16φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:5C2128,407
C8⋊2Q8⋊6C2 = C8⋊5D8φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:6C2128,438
C8⋊2Q8⋊7C2 = C42.666C23φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:7C2128,451
C8⋊2Q8⋊8C2 = C8.2D8φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:8C2128,454
C8⋊2Q8⋊9C2 = D8⋊1Q8φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:9C2128,956
C8⋊2Q8⋊10C2 = D8⋊Q8φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:10C2128,958
C8⋊2Q8⋊11C2 = C4.4D16φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:11C2128,972
C8⋊2Q8⋊12C2 = C42.278D4φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:12C2128,1958
C8⋊2Q8⋊13C2 = C42.280D4φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:13C2128,1960
C8⋊2Q8⋊14C2 = C42.282D4φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:14C2128,1962
C8⋊2Q8⋊15C2 = C42.283D4φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:15C2128,1963
C8⋊2Q8⋊16C2 = C42.425C23φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:16C2128,1975
C8⋊2Q8⋊17C2 = D4⋊5D8φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:17C2128,2066
C8⋊2Q8⋊18C2 = D4⋊6Q16φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:18C2128,2070
C8⋊2Q8⋊19C2 = C42.490C23φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:19C2128,2073
C8⋊2Q8⋊20C2 = C42.491C23φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:20C2128,2074
C8⋊2Q8⋊21C2 = Q8×D8φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:21C2128,2110
C8⋊2Q8⋊22C2 = D8⋊6Q8φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:22C2128,2112
C8⋊2Q8⋊23C2 = C8⋊4SD16φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:23C2128,425
C8⋊2Q8⋊24C2 = C8.8SD16φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:24C2128,427
C8⋊2Q8⋊25C2 = C8⋊5SD16φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:25C2128,446
C8⋊2Q8⋊26C2 = C8.12SD16φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:26C2128,975
C8⋊2Q8⋊27C2 = M4(2)⋊4Q8φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:27C2128,1896
C8⋊2Q8⋊28C2 = M4(2)⋊5Q8φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:28C2128,1897
C8⋊2Q8⋊29C2 = C42.387C23φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:29C2128,1907
C8⋊2Q8⋊30C2 = C42.259D4φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:30C2128,1914
C8⋊2Q8⋊31C2 = C42.494C23φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:31C2128,2085
C8⋊2Q8⋊32C2 = C42.498C23φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:32C2128,2089
C8⋊2Q8⋊33C2 = SD16⋊Q8φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:33C2128,2117
C8⋊2Q8⋊34C2 = SD16⋊2Q8φ: C2/C1 → C2 ⊆ Out C8⋊2Q864C8:2Q8:34C2128,2118
C8⋊2Q8⋊35C2 = C42.364D4φ: trivial image64C8:2Q8:35C2128,1892
C8⋊2Q8⋊36C2 = C42.366D4φ: trivial image64C8:2Q8:36C2128,1901
C8⋊2Q8⋊37C2 = C42.367D4φ: trivial image64C8:2Q8:37C2128,1902

Non-split extensions G=N.Q with N=C8⋊2Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊2Q8.1C2 = C4.10D16φ: C2/C1 → C2 ⊆ Out C8⋊2Q8128C8:2Q8.1C2128,96
C8⋊2Q8.2C2 = C4.6Q32φ: C2/C1 → C2 ⊆ Out C8⋊2Q8128C8:2Q8.2C2128,97
C8⋊2Q8.3C2 = Q8⋊4Q16φ: C2/C1 → C2 ⊆ Out C8⋊2Q8128C8:2Q8.3C2128,380
C8⋊2Q8.4C2 = C8⋊7Q16φ: C2/C1 → C2 ⊆ Out C8⋊2Q8128C8:2Q8.4C2128,406
C8⋊2Q8.5C2 = Q8.1Q16φ: C2/C1 → C2 ⊆ Out C8⋊2Q8128C8:2Q8.5C2128,408
C8⋊2Q8.6C2 = C8⋊5Q16φ: C2/C1 → C2 ⊆ Out C8⋊2Q8128C8:2Q8.6C2128,439
C8⋊2Q8.7C2 = C8.7Q16φ: C2/C1 → C2 ⊆ Out C8⋊2Q8128C8:2Q8.7C2128,442
C8⋊2Q8.8C2 = C8⋊4Q16φ: C2/C1 → C2 ⊆ Out C8⋊2Q8128C8:2Q8.8C2128,445
C8⋊2Q8.9C2 = C42.665C23φ: C2/C1 → C2 ⊆ Out C8⋊2Q8128C8:2Q8.9C2128,450
C8⋊2Q8.10C2 = C8⋊3Q16φ: C2/C1 → C2 ⊆ Out C8⋊2Q8128C8:2Q8.10C2128,455
C8⋊2Q8.11C2 = Q16⋊Q8φ: C2/C1 → C2 ⊆ Out C8⋊2Q8128C8:2Q8.11C2128,957
C8⋊2Q8.12C2 = C4.Q32φ: C2/C1 → C2 ⊆ Out C8⋊2Q8128C8:2Q8.12C2128,959
C8⋊2Q8.13C2 = C4.SD32φ: C2/C1 → C2 ⊆ Out C8⋊2Q8128C8:2Q8.13C2128,973
C8⋊2Q8.14C2 = C16⋊2Q8φ: C2/C1 → C2 ⊆ Out C8⋊2Q8128C8:2Q8.14C2128,984
C8⋊2Q8.15C2 = C16⋊3Q8φ: C2/C1 → C2 ⊆ Out C8⋊2Q8128C8:2Q8.15C2128,986
C8⋊2Q8.16C2 = Q8×Q16φ: C2/C1 → C2 ⊆ Out C8⋊2Q8128C8:2Q8.16C2128,2114
C8⋊2Q8.17C2 = Q16⋊6Q8φ: C2/C1 → C2 ⊆ Out C8⋊2Q8128C8:2Q8.17C2128,2115
C8⋊2Q8.18C2 = C8⋊2Q16φ: C2/C1 → C2 ⊆ Out C8⋊2Q8128C8:2Q8.18C2128,426
C8⋊2Q8.19C2 = C8.3Q16φ: C2/C1 → C2 ⊆ Out C8⋊2Q8128C8:2Q8.19C2128,428
C8⋊2Q8.20C2 = C16⋊Q8φ: C2/C1 → C2 ⊆ Out C8⋊2Q8128C8:2Q8.20C2128,987

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