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Extensions 1→N→G→Q→1 with N=D4⋊6D4 and Q=C2

Direct product G=N×Q with N=D4⋊6D4 and Q=C2
dρLabelID
C2×D4⋊6D464C2xD4:6D4128,2196

Semidirect products G=N:Q with N=D4⋊6D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D4⋊6D4⋊1C2 = D4⋊3D8φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:1C2128,357
D4⋊6D4⋊2C2 = D8⋊10D4φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:2C2128,1999
D4⋊6D4⋊3C2 = SD16⋊8D4φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:3C2128,2001
D4⋊6D4⋊4C2 = D8⋊4D4φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:4C2128,2004
D4⋊6D4⋊5C2 = D8⋊13D4φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:5C2128,2015
D4⋊6D4⋊6C2 = SD16⋊11D4φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:6C2128,2016
D4⋊6D4⋊7C2 = D4⋊4D8φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:7C2128,2026
D4⋊6D4⋊8C2 = C42.468C23φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:8C2128,2035
D4⋊6D4⋊9C2 = C42.41C23φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:9C2128,2038
D4⋊6D4⋊10C2 = C42.42C23φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:10C2128,2039
D4⋊6D4⋊11C2 = C42.43C23φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:11C2128,2040
D4⋊6D4⋊12C2 = C42.479C23φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:12C2128,2062
D4⋊6D4⋊13C2 = C42.481C23φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:13C2128,2064
D4⋊6D4⋊14C2 = D4⋊5D8φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:14C2128,2066
D4⋊6D4⋊15C2 = C42.59C23φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:15C2128,2077
D4⋊6D4⋊16C2 = C42.495C23φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:16C2128,2086
D4⋊6D4⋊17C2 = C22.74C25φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:17C2128,2217
D4⋊6D4⋊18C2 = C22.78C25φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:18C2128,2221
D4⋊6D4⋊19C2 = C22.81C25φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:19C2128,2224
D4⋊6D4⋊20C2 = C22.83C25φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:20C2128,2226
D4⋊6D4⋊21C2 = C4⋊2+ 1+4φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:21C2128,2228
D4⋊6D4⋊22C2 = C22.88C25φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:22C2128,2231
D4⋊6D4⋊23C2 = C22.95C25φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:23C2128,2238
D4⋊6D4⋊24C2 = C22.100C25φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:24C2128,2243
D4⋊6D4⋊25C2 = C22.102C25φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:25C2128,2245
D4⋊6D4⋊26C2 = C22.104C25φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:26C2128,2247
D4⋊6D4⋊27C2 = C22.106C25φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:27C2128,2249
D4⋊6D4⋊28C2 = C23.144C24φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:28C2128,2252
D4⋊6D4⋊29C2 = C22.110C25φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:29C2128,2253
D4⋊6D4⋊30C2 = C22.111C25φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:30C2128,2254
D4⋊6D4⋊31C2 = C22.122C25φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:31C2128,2265
D4⋊6D4⋊32C2 = C22.124C25φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:32C2128,2267
D4⋊6D4⋊33C2 = C22.125C25φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:33C2128,2268
D4⋊6D4⋊34C2 = C22.128C25φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:34C2128,2271
D4⋊6D4⋊35C2 = C22.130C25φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:35C2128,2273
D4⋊6D4⋊36C2 = C22.131C25φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:36C2128,2274
D4⋊6D4⋊37C2 = C22.133C25φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:37C2128,2276
D4⋊6D4⋊38C2 = C22.135C25φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:38C2128,2278
D4⋊6D4⋊39C2 = C22.136C25φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:39C2128,2279
D4⋊6D4⋊40C2 = C22.137C25φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:40C2128,2280
D4⋊6D4⋊41C2 = C22.141C25φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:41C2128,2284
D4⋊6D4⋊42C2 = C22.143C25φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:42C2128,2286
D4⋊6D4⋊43C2 = C22.148C25φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4:43C2128,2291
D4⋊6D4⋊44C2 = C22.149C25φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:44C2128,2292
D4⋊6D4⋊45C2 = C22.151C25φ: C2/C1 → C2 ⊆ Out D4⋊6D432D4:6D4:45C2128,2294
D4⋊6D4⋊46C2 = D4×C4○D4φ: trivial image32D4:6D4:46C2128,2200
D4⋊6D4⋊47C2 = C22.64C25φ: trivial image32D4:6D4:47C2128,2207
D4⋊6D4⋊48C2 = C22.71C25φ: trivial image64D4:6D4:48C2128,2214

Non-split extensions G=N.Q with N=D4⋊6D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D4⋊6D4.1C2 = D4.SD16φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4.1C2128,367
D4⋊6D4.2C2 = D4.7D8φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4.2C2128,379
D4⋊6D4.3C2 = D4⋊4SD16φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4.3C2128,386
D4⋊6D4.4C2 = SD16⋊3D4φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4.4C2128,2008
D4⋊6D4.5C2 = D4⋊8SD16φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4.5C2128,2030
D4⋊6D4.6C2 = C42.467C23φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4.6C2128,2034
D4⋊6D4.7C2 = C42.50C23φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4.7C2128,2047
D4⋊6D4.8C2 = C42.480C23φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4.8C2128,2063
D4⋊6D4.9C2 = D4⋊9SD16φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4.9C2128,2067
D4⋊6D4.10C2 = C42.57C23φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4.10C2128,2075
D4⋊6D4.11C2 = C42.494C23φ: C2/C1 → C2 ⊆ Out D4⋊6D464D4:6D4.11C2128,2085

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