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Extensions 1→N→G→Q→1 with N=Q8⋊5D4 and Q=C2

Direct product G=N×Q with N=Q8⋊5D4 and Q=C2
dρLabelID
C2×Q8⋊5D464C2xQ8:5D4128,2197

Semidirect products G=N:Q with N=Q8⋊5D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8⋊5D4⋊1C2 = SD16⋊D4φ: C2/C1 → C2 ⊆ Out Q8⋊5D432Q8:5D4:1C2128,1997
Q8⋊5D4⋊2C2 = SD16⋊8D4φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4:2C2128,2001
Q8⋊5D4⋊3C2 = Q16⋊10D4φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4:3C2128,2003
Q8⋊5D4⋊4C2 = SD16⋊2D4φ: C2/C1 → C2 ⊆ Out Q8⋊5D432Q8:5D4:4C2128,2007
Q8⋊5D4⋊5C2 = Q16⋊4D4φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4:5C2128,2009
Q8⋊5D4⋊6C2 = SD16⋊10D4φ: C2/C1 → C2 ⊆ Out Q8⋊5D432Q8:5D4:6C2128,2014
Q8⋊5D4⋊7C2 = Q16⋊12D4φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4:7C2128,2017
Q8⋊5D4⋊8C2 = C42.466C23φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4:8C2128,2033
Q8⋊5D4⋊9C2 = C42.43C23φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4:9C2128,2040
Q8⋊5D4⋊10C2 = C42.56C23φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4:10C2128,2053
Q8⋊5D4⋊11C2 = C42.475C23φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4:11C2128,2058
Q8⋊5D4⋊12C2 = C22.75C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D432Q8:5D4:12C2128,2218
Q8⋊5D4⋊13C2 = C22.76C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D432Q8:5D4:13C2128,2219
Q8⋊5D4⋊14C2 = C22.77C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D432Q8:5D4:14C2128,2220
Q8⋊5D4⋊15C2 = C22.78C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D432Q8:5D4:15C2128,2221
Q8⋊5D4⋊16C2 = C4⋊2- 1+4φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4:16C2128,2229
Q8⋊5D4⋊17C2 = C22.89C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D432Q8:5D4:17C2128,2232
Q8⋊5D4⋊18C2 = C22.94C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D432Q8:5D4:18C2128,2237
Q8⋊5D4⋊19C2 = C22.100C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4:19C2128,2243
Q8⋊5D4⋊20C2 = C22.103C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D432Q8:5D4:20C2128,2246
Q8⋊5D4⋊21C2 = C22.105C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4:21C2128,2248
Q8⋊5D4⋊22C2 = C22.107C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4:22C2128,2250
Q8⋊5D4⋊23C2 = C23.144C24φ: C2/C1 → C2 ⊆ Out Q8⋊5D432Q8:5D4:23C2128,2252
Q8⋊5D4⋊24C2 = C22.111C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4:24C2128,2254
Q8⋊5D4⋊25C2 = C22.113C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4:25C2128,2256
Q8⋊5D4⋊26C2 = C22.125C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D432Q8:5D4:26C2128,2268
Q8⋊5D4⋊27C2 = C22.129C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D432Q8:5D4:27C2128,2272
Q8⋊5D4⋊28C2 = C22.130C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D432Q8:5D4:28C2128,2273
Q8⋊5D4⋊29C2 = C22.136C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4:29C2128,2279
Q8⋊5D4⋊30C2 = C22.140C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D432Q8:5D4:30C2128,2283
Q8⋊5D4⋊31C2 = C22.141C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4:31C2128,2284
Q8⋊5D4⋊32C2 = C22.143C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4:32C2128,2286
Q8⋊5D4⋊33C2 = C22.147C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D432Q8:5D4:33C2128,2290
Q8⋊5D4⋊34C2 = C22.150C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D432Q8:5D4:34C2128,2293
Q8⋊5D4⋊35C2 = C22.151C25φ: C2/C1 → C2 ⊆ Out Q8⋊5D432Q8:5D4:35C2128,2294
Q8⋊5D4⋊36C2 = D4×C4○D4φ: trivial image32Q8:5D4:36C2128,2200
Q8⋊5D4⋊37C2 = C22.69C25φ: trivial image64Q8:5D4:37C2128,2212
Q8⋊5D4⋊38C2 = C22.71C25φ: trivial image64Q8:5D4:38C2128,2214

Non-split extensions G=N.Q with N=Q8⋊5D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8⋊5D4.1C2 = Q16⋊9D4φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4.1C2128,2002
Q8⋊5D4.2C2 = C42.465C23φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4.2C2128,2032
Q8⋊5D4.3C2 = C42.48C23φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4.3C2128,2045
Q8⋊5D4.4C2 = C42.51C23φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4.4C2128,2048
Q8⋊5D4.5C2 = C42.476C23φ: C2/C1 → C2 ⊆ Out Q8⋊5D464Q8:5D4.5C2128,2059

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