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Extensions 1→N→G→Q→1 with N=C8⋊3Q8 and Q=C2

Direct product G=N×Q with N=C8⋊3Q8 and Q=C2
dρLabelID
C2×C8⋊3Q8128C2xC8:3Q8128,1889

Semidirect products G=N:Q with N=C8⋊3Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊3Q8⋊1C2 = C8⋊3SD16φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:1C2128,423
C8⋊3Q8⋊2C2 = C8⋊6SD16φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:2C2128,447
C8⋊3Q8⋊3C2 = D8⋊3Q8φ: C2/C1 → C2 ⊆ Out C8⋊3Q8164C8:3Q8:3C2128,962
C8⋊3Q8⋊4C2 = M4(2)⋊3Q8φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:4C2128,1895
C8⋊3Q8⋊5C2 = M4(2)⋊5Q8φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:5C2128,1897
C8⋊3Q8⋊6C2 = C42.385C23φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:6C2128,1905
C8⋊3Q8⋊7C2 = C42.261D4φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:7C2128,1916
C8⋊3Q8⋊8C2 = C42.262D4φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:8C2128,1917
C8⋊3Q8⋊9C2 = C42.495C23φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:9C2128,2086
C8⋊3Q8⋊10C2 = C42.497C23φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:10C2128,2088
C8⋊3Q8⋊11C2 = D8⋊4Q8φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:11C2128,2116
C8⋊3Q8⋊12C2 = Q8⋊4SD16φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:12C2128,383
C8⋊3Q8⋊13C2 = C42.213C23φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:13C2128,384
C8⋊3Q8⋊14C2 = D4⋊4SD16φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:14C2128,386
C8⋊3Q8⋊15C2 = C8⋊11SD16φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:15C2128,403
C8⋊3Q8⋊16C2 = C8⋊8SD16φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:16C2128,437
C8⋊3Q8⋊17C2 = C82⋊12C2φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:17C2128,440
C8⋊3Q8⋊18C2 = C8⋊5SD16φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:18C2128,446
C8⋊3Q8⋊19C2 = C42.667C23φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:19C2128,452
C8⋊3Q8⋊20C2 = C42.279D4φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:20C2128,1959
C8⋊3Q8⋊21C2 = C42.280D4φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:21C2128,1960
C8⋊3Q8⋊22C2 = C42.281D4φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:22C2128,1961
C8⋊3Q8⋊23C2 = C42.283D4φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:23C2128,1963
C8⋊3Q8⋊24C2 = C42.426C23φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:24C2128,1976
C8⋊3Q8⋊25C2 = D4⋊9SD16φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:25C2128,2067
C8⋊3Q8⋊26C2 = C42.489C23φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:26C2128,2072
C8⋊3Q8⋊27C2 = Q8×SD16φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:27C2128,2111
C8⋊3Q8⋊28C2 = SD16⋊4Q8φ: C2/C1 → C2 ⊆ Out C8⋊3Q864C8:3Q8:28C2128,2113
C8⋊3Q8⋊29C2 = C42.364D4φ: trivial image64C8:3Q8:29C2128,1892
C8⋊3Q8⋊30C2 = C42.365D4φ: trivial image64C8:3Q8:30C2128,1899

Non-split extensions G=N.Q with N=C8⋊3Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊3Q8.1C2 = C8⋊Q16φ: C2/C1 → C2 ⊆ Out C8⋊3Q8128C8:3Q8.1C2128,424
C8⋊3Q8.2C2 = C8⋊3Q16φ: C2/C1 → C2 ⊆ Out C8⋊3Q8128C8:3Q8.2C2128,455
C8⋊3Q8.3C2 = Q16⋊4Q8φ: C2/C1 → C2 ⊆ Out C8⋊3Q8128C8:3Q8.3C2128,2119
C8⋊3Q8.4C2 = Q8.SD16φ: C2/C1 → C2 ⊆ Out C8⋊3Q8128C8:3Q8.4C2128,385
C8⋊3Q8.5C2 = C8⋊8Q16φ: C2/C1 → C2 ⊆ Out C8⋊3Q8128C8:3Q8.5C2128,404
C8⋊3Q8.6C2 = C8⋊5Q16φ: C2/C1 → C2 ⊆ Out C8⋊3Q8128C8:3Q8.6C2128,439
C8⋊3Q8.7C2 = C8.9SD16φ: C2/C1 → C2 ⊆ Out C8⋊3Q8128C8:3Q8.7C2128,448
C8⋊3Q8.8C2 = C42.665C23φ: C2/C1 → C2 ⊆ Out C8⋊3Q8128C8:3Q8.8C2128,450

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