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

Direct product G=N×Q with N=Q8⋊3Q8 and Q=C2
dρLabelID
C2×Q8⋊3Q8128C2xQ8:3Q8128,2208

Semidirect products G=N:Q with N=Q8⋊3Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8⋊3Q8⋊1C2 = Q8⋊6SD16φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:1C2128,358
Q8⋊3Q8⋊2C2 = Q8⋊7SD16φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:2C2128,2091
Q8⋊3Q8⋊3C2 = C42.505C23φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:3C2128,2096
Q8⋊3Q8⋊4C2 = C42.506C23φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:4C2128,2097
Q8⋊3Q8⋊5C2 = C42.509C23φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:5C2128,2100
Q8⋊3Q8⋊6C2 = C42.512C23φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:6C2128,2103
Q8⋊3Q8⋊7C2 = C42.513C23φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:7C2128,2104
Q8⋊3Q8⋊8C2 = C42.518C23φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:8C2128,2109
Q8⋊3Q8⋊9C2 = SD16⋊4Q8φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:9C2128,2113
Q8⋊3Q8⋊10C2 = SD16⋊2Q8φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:10C2128,2118
Q8⋊3Q8⋊11C2 = SD16⋊3Q8φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:11C2128,2120
Q8⋊3Q8⋊12C2 = Q8⋊9SD16φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:12C2128,2124
Q8⋊3Q8⋊13C2 = C42.73C23φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:13C2128,2130
Q8⋊3Q8⋊14C2 = C42.75C23φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:14C2128,2132
Q8⋊3Q8⋊15C2 = C22.91C25φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:15C2128,2234
Q8⋊3Q8⋊16C2 = C22.92C25φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:16C2128,2235
Q8⋊3Q8⋊17C2 = C22.93C25φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:17C2128,2236
Q8⋊3Q8⋊18C2 = C22.96C25φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:18C2128,2239
Q8⋊3Q8⋊19C2 = C22.98C25φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:19C2128,2241
Q8⋊3Q8⋊20C2 = C22.104C25φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:20C2128,2247
Q8⋊3Q8⋊21C2 = C22.105C25φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:21C2128,2248
Q8⋊3Q8⋊22C2 = C22.106C25φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:22C2128,2249
Q8⋊3Q8⋊23C2 = C23.146C24φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:23C2128,2255
Q8⋊3Q8⋊24C2 = C22.113C25φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:24C2128,2256
Q8⋊3Q8⋊25C2 = C22.141C25φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:25C2128,2284
Q8⋊3Q8⋊26C2 = C22.143C25φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:26C2128,2286
Q8⋊3Q8⋊27C2 = C22.144C25φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:27C2128,2287
Q8⋊3Q8⋊28C2 = C22.145C25φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:28C2128,2288
Q8⋊3Q8⋊29C2 = C22.146C25φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:29C2128,2289
Q8⋊3Q8⋊30C2 = C22.152C25φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:30C2128,2295
Q8⋊3Q8⋊31C2 = C22.154C25φ: C2/C1 → C2 ⊆ Out Q8⋊3Q864Q8:3Q8:31C2128,2297
Q8⋊3Q8⋊32C2 = Q8×C4○D4φ: trivial image64Q8:3Q8:32C2128,2210
Q8⋊3Q8⋊33C2 = C22.69C25φ: trivial image64Q8:3Q8:33C2128,2212
Q8⋊3Q8⋊34C2 = C22.71C25φ: trivial image64Q8:3Q8:34C2128,2214

Non-split extensions G=N.Q with N=Q8⋊3Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8⋊3Q8.1C2 = Q8.Q16φ: C2/C1 → C2 ⊆ Out Q8⋊3Q8128Q8:3Q8.1C2128,368
Q8⋊3Q8.2C2 = Q8⋊4Q16φ: C2/C1 → C2 ⊆ Out Q8⋊3Q8128Q8:3Q8.2C2128,380
Q8⋊3Q8.3C2 = Q8.SD16φ: C2/C1 → C2 ⊆ Out Q8⋊3Q8128Q8:3Q8.3C2128,385
Q8⋊3Q8.4C2 = Q8⋊5Q16φ: C2/C1 → C2 ⊆ Out Q8⋊3Q8128Q8:3Q8.4C2128,2095
Q8⋊3Q8.5C2 = C42.515C23φ: C2/C1 → C2 ⊆ Out Q8⋊3Q8128Q8:3Q8.5C2128,2106
Q8⋊3Q8.6C2 = Q16⋊6Q8φ: C2/C1 → C2 ⊆ Out Q8⋊3Q8128Q8:3Q8.6C2128,2115
Q8⋊3Q8.7C2 = Q16⋊4Q8φ: C2/C1 → C2 ⊆ Out Q8⋊3Q8128Q8:3Q8.7C2128,2119
Q8⋊3Q8.8C2 = Q16⋊5Q8φ: C2/C1 → C2 ⊆ Out Q8⋊3Q8128Q8:3Q8.8C2128,2122
Q8⋊3Q8.9C2 = Q8⋊6Q16φ: C2/C1 → C2 ⊆ Out Q8⋊3Q8128Q8:3Q8.9C2128,2127

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