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Extensions 1→N→G→Q→1 with N=C22.29C24 and Q=C2

Direct product G=N×Q with N=C22.29C24 and Q=C2
dρLabelID
C2×C22.29C2432C2xC2^2.29C2^4128,2178

Semidirect products G=N:Q with N=C22.29C24 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.29C24⋊1C2 = C42⋊9D4φ: C2/C1 → C2 ⊆ Out C22.29C2416C2^2.29C2^4:1C2128,734
C22.29C24⋊2C2 = M4(2)⋊5D4φ: C2/C1 → C2 ⊆ Out C22.29C24168+C2^2.29C2^4:2C2128,740
C22.29C24⋊3C2 = C4○D4⋊D4φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:3C2128,1740
C22.29C24⋊4C2 = (C2×Q8)⋊16D4φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:4C2128,1742
C22.29C24⋊5C2 = M4(2)⋊C23φ: C2/C1 → C2 ⊆ Out C22.29C24168+C2^2.29C2^4:5C2128,1751
C22.29C24⋊6C2 = C42.12C23φ: C2/C1 → C2 ⊆ Out C22.29C24168+C2^2.29C2^4:6C2128,1753
C22.29C24⋊7C2 = C23.9C24φ: C2/C1 → C2 ⊆ Out C22.29C24168+C2^2.29C2^4:7C2128,1759
C22.29C24⋊8C2 = C42.14C23φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:8C2128,1773
C22.29C24⋊9C2 = C42.18C23φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:9C2128,1777
C22.29C24⋊10C2 = (C2×C8)⋊12D4φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:10C2128,1790
C22.29C24⋊11C2 = M4(2)⋊16D4φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:11C2128,1794
C22.29C24⋊12C2 = M4(2)⋊10D4φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:12C2128,1886
C22.29C24⋊13C2 = M4(2)⋊11D4φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:13C2128,1887
C22.29C24⋊14C2 = C4.2+ 1+4φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:14C2128,1930
C22.29C24⋊15C2 = C4.142+ 1+4φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:15C2128,1931
C22.29C24⋊16C2 = C42.406C23φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:16C2128,1952
C22.29C24⋊17C2 = C42.410C23φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:17C2128,1956
C22.29C24⋊18C2 = C22.73C25φ: C2/C1 → C2 ⊆ Out C22.29C2416C2^2.29C2^4:18C2128,2216
C22.29C24⋊19C2 = C22.76C25φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:19C2128,2219
C22.29C24⋊20C2 = C22.77C25φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:20C2128,2220
C22.29C24⋊21C2 = C22.83C25φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:21C2128,2226
C22.29C24⋊22C2 = C22.87C25φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:22C2128,2230
C22.29C24⋊23C2 = C22.89C25φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:23C2128,2232
C22.29C24⋊24C2 = C22.95C25φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:24C2128,2238
C22.29C24⋊25C2 = C22.97C25φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:25C2128,2240
C22.29C24⋊26C2 = C42⋊C23φ: C2/C1 → C2 ⊆ Out C22.29C2416C2^2.29C2^4:26C2128,2264
C22.29C24⋊27C2 = C22.122C25φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:27C2128,2265
C22.29C24⋊28C2 = C22.126C25φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:28C2128,2269
C22.29C24⋊29C2 = C22.129C25φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:29C2128,2272
C22.29C24⋊30C2 = C22.131C25φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:30C2128,2274
C22.29C24⋊31C2 = C22.132C25φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:31C2128,2275
C22.29C24⋊32C2 = C22.135C25φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:32C2128,2278
C22.29C24⋊33C2 = C22.138C25φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:33C2128,2281
C22.29C24⋊34C2 = C22.140C25φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:34C2128,2283
C22.29C24⋊35C2 = C22.147C25φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:35C2128,2290
C22.29C24⋊36C2 = C22.151C25φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4:36C2128,2294
C22.29C24⋊37C2 = C22.38C25φ: trivial image32C2^2.29C2^4:37C2128,2181
C22.29C24⋊38C2 = C22.49C25φ: trivial image32C2^2.29C2^4:38C2128,2192

Non-split extensions G=N.Q with N=C22.29C24 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.29C24.1C2 = (C2×C8)⋊4D4φ: C2/C1 → C2 ⊆ Out C22.29C24168+C2^2.29C2^4.1C2128,642
C22.29C24.2C2 = C42⋊D4φ: C2/C1 → C2 ⊆ Out C22.29C24168+C2^2.29C2^4.2C2128,643
C22.29C24.3C2 = M4(2)⋊21D4φ: C2/C1 → C2 ⊆ Out C22.29C24168+C2^2.29C2^4.3C2128,646
C22.29C24.4C2 = C42⋊10D4φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4.4C2128,736
C22.29C24.5C2 = M4(2)⋊6D4φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4.5C2128,769
C22.29C24.6C2 = C2≀C4⋊C2φ: C2/C1 → C2 ⊆ Out C22.29C24168+C2^2.29C2^4.6C2128,854
C22.29C24.7C2 = C24.39D4φ: C2/C1 → C2 ⊆ Out C22.29C24168+C2^2.29C2^4.7C2128,859
C22.29C24.8C2 = C4.4D4⋊C4φ: C2/C1 → C2 ⊆ Out C22.29C24168+C2^2.29C2^4.8C2128,860
C22.29C24.9C2 = C4⋊1D4.C4φ: C2/C1 → C2 ⊆ Out C22.29C24168+C2^2.29C2^4.9C2128,866
C22.29C24.10C2 = C42.16C23φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4.10C2128,1775
C22.29C24.11C2 = (C2×C8)⋊11D4φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4.11C2128,1789
C22.29C24.12C2 = (C2×D4).301D4φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4.12C2128,1828
C22.29C24.13C2 = C42.366C23φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4.13C2128,1868
C22.29C24.14C2 = C4.152+ 1+4φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4.14C2128,1932
C22.29C24.15C2 = C42.408C23φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4.15C2128,1954
C22.29C24.16C2 = C22.99C25φ: C2/C1 → C2 ⊆ Out C22.29C2432C2^2.29C2^4.16C2128,2242

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