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

Direct product G=N×Q with N=D4⋊5D4 and Q=C2
dρLabelID
C2×D4⋊5D432C2xD4:5D4128,2195

Semidirect products G=N:Q with N=D4⋊5D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D4⋊5D4⋊1C2 = D8⋊9D4φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:1C2128,1996
D4⋊5D4⋊2C2 = D8⋊10D4φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:2C2128,1999
D4⋊5D4⋊3C2 = SD16⋊7D4φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:3C2128,2000
D4⋊5D4⋊4C2 = D8⋊5D4φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:4C2128,2005
D4⋊5D4⋊5C2 = SD16⋊2D4φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:5C2128,2007
D4⋊5D4⋊6C2 = D8⋊12D4φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:6C2128,2012
D4⋊5D4⋊7C2 = SD16⋊10D4φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:7C2128,2014
D4⋊5D4⋊8C2 = C42.462C23φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:8C2128,2029
D4⋊5D4⋊9C2 = C42.41C23φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:9C2128,2038
D4⋊5D4⋊10C2 = C42.54C23φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:10C2128,2051
D4⋊5D4⋊11C2 = C42.471C23φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:11C2128,2054
D4⋊5D4⋊12C2 = C22.73C25φ: C2/C1 → C2 ⊆ Out D4⋊5D416D4:5D4:12C2128,2216
D4⋊5D4⋊13C2 = C22.74C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:13C2128,2217
D4⋊5D4⋊14C2 = C22.77C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:14C2128,2220
D4⋊5D4⋊15C2 = C22.78C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:15C2128,2221
D4⋊5D4⋊16C2 = C22.79C25φ: C2/C1 → C2 ⊆ Out D4⋊5D416D4:5D4:16C2128,2222
D4⋊5D4⋊17C2 = C22.83C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:17C2128,2226
D4⋊5D4⋊18C2 = C4⋊2+ 1+4φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:18C2128,2228
D4⋊5D4⋊19C2 = C22.89C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:19C2128,2232
D4⋊5D4⋊20C2 = C22.94C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:20C2128,2237
D4⋊5D4⋊21C2 = C22.97C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:21C2128,2240
D4⋊5D4⋊22C2 = C22.102C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:22C2128,2245
D4⋊5D4⋊23C2 = C22.103C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:23C2128,2246
D4⋊5D4⋊24C2 = C22.108C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:24C2128,2251
D4⋊5D4⋊25C2 = C23.144C24φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:25C2128,2252
D4⋊5D4⋊26C2 = C22.110C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:26C2128,2253
D4⋊5D4⋊27C2 = C42⋊C23φ: C2/C1 → C2 ⊆ Out D4⋊5D416D4:5D4:27C2128,2264
D4⋊5D4⋊28C2 = C22.122C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:28C2128,2265
D4⋊5D4⋊29C2 = C22.123C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:29C2128,2266
D4⋊5D4⋊30C2 = C22.124C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:30C2128,2267
D4⋊5D4⋊31C2 = C22.125C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:31C2128,2268
D4⋊5D4⋊32C2 = C22.129C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:32C2128,2272
D4⋊5D4⋊33C2 = C22.131C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:33C2128,2274
D4⋊5D4⋊34C2 = C22.132C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:34C2128,2275
D4⋊5D4⋊35C2 = C22.134C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:35C2128,2277
D4⋊5D4⋊36C2 = C22.135C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:36C2128,2278
D4⋊5D4⋊37C2 = C22.140C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:37C2128,2283
D4⋊5D4⋊38C2 = C22.147C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:38C2128,2290
D4⋊5D4⋊39C2 = C22.149C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:39C2128,2292
D4⋊5D4⋊40C2 = C22.150C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:40C2128,2293
D4⋊5D4⋊41C2 = C22.151C25φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4:41C2128,2294
D4⋊5D4⋊42C2 = D4×C4○D4φ: trivial image32D4:5D4:42C2128,2200
D4⋊5D4⋊43C2 = C22.64C25φ: trivial image32D4:5D4:43C2128,2207
D4⋊5D4⋊44C2 = C22.70C25φ: trivial image32D4:5D4:44C2128,2213

Non-split extensions G=N.Q with N=D4⋊5D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D4⋊5D4.1C2 = SD16⋊6D4φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4.1C2128,1998
D4⋊5D4.2C2 = C42.461C23φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4.2C2128,2028
D4⋊5D4.3C2 = C42.46C23φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4.3C2128,2043
D4⋊5D4.4C2 = C42.49C23φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4.4C2128,2046
D4⋊5D4.5C2 = C42.472C23φ: C2/C1 → C2 ⊆ Out D4⋊5D432D4:5D4.5C2128,2055

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