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Extensions 1→N→G→Q→1 with N=C2×C4⋊1D4 and Q=C2

Direct product G=N×Q with N=C2×C4⋊1D4 and Q=C2
dρLabelID
C22×C4⋊1D464C2^2xC4:1D4128,2172

Semidirect products G=N:Q with N=C2×C4⋊1D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4⋊1D4)⋊1C2 = C42⋊9D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D416(C2xC4:1D4):1C2128,734
(C2×C4⋊1D4)⋊2C2 = (C2×C4)⋊2D8φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4):2C2128,743
(C2×C4⋊1D4)⋊3C2 = C23.328C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4):3C2128,1160
(C2×C4⋊1D4)⋊4C2 = C24.263C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4):4C2128,1163
(C2×C4⋊1D4)⋊5C2 = C23.333C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D432(C2xC4:1D4):5C2128,1165
(C2×C4⋊1D4)⋊6C2 = C42⋊20D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4):6C2128,1273
(C2×C4⋊1D4)⋊7C2 = C42⋊27D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4):7C2128,1351
(C2×C4⋊1D4)⋊8C2 = C42⋊31D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4):8C2128,1389
(C2×C4⋊1D4)⋊9C2 = C23.569C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D432(C2xC4:1D4):9C2128,1401
(C2×C4⋊1D4)⋊10C2 = C23.573C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4):10C2128,1405
(C2×C4⋊1D4)⋊11C2 = C42⋊33D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4):11C2128,1550
(C2×C4⋊1D4)⋊12C2 = C42⋊47D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4):12C2128,1588
(C2×C4⋊1D4)⋊13C2 = C43⋊15C2φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4):13C2128,1599
(C2×C4⋊1D4)⋊14C2 = C2×D4⋊4D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D416(C2xC4:1D4):14C2128,1746
(C2×C4⋊1D4)⋊15C2 = C2×C4⋊D8φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4):15C2128,1761
(C2×C4⋊1D4)⋊16C2 = C42.444D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D432(C2xC4:1D4):16C2128,1770
(C2×C4⋊1D4)⋊17C2 = C2×C8⋊4D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4):17C2128,1876
(C2×C4⋊1D4)⋊18C2 = C2×C8⋊3D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4):18C2128,1880
(C2×C4⋊1D4)⋊19C2 = M4(2)⋊7D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D432(C2xC4:1D4):19C2128,1883
(C2×C4⋊1D4)⋊20C2 = C42.263D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D432(C2xC4:1D4):20C2128,1937
(C2×C4⋊1D4)⋊21C2 = C42.275D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D432(C2xC4:1D4):21C2128,1949
(C2×C4⋊1D4)⋊22C2 = C2×C22.29C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D432(C2xC4:1D4):22C2128,2178
(C2×C4⋊1D4)⋊23C2 = C2×C22.34C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4):23C2128,2184
(C2×C4⋊1D4)⋊24C2 = C2×D42φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D432(C2xC4:1D4):24C2128,2194
(C2×C4⋊1D4)⋊25C2 = C2×Q8⋊6D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4):25C2128,2199
(C2×C4⋊1D4)⋊26C2 = C22.87C25φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D432(C2xC4:1D4):26C2128,2230
(C2×C4⋊1D4)⋊27C2 = C22.97C25φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D432(C2xC4:1D4):27C2128,2240
(C2×C4⋊1D4)⋊28C2 = C2×C22.54C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D432(C2xC4:1D4):28C2128,2257
(C2×C4⋊1D4)⋊29C2 = C22.132C25φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D432(C2xC4:1D4):29C2128,2275
(C2×C4⋊1D4)⋊30C2 = C2×C22.26C24φ: trivial image64(C2xC4:1D4):30C2128,2174

Non-split extensions G=N.Q with N=C2×C4⋊1D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4⋊1D4).1C2 = C2×C4.D8φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4).1C2128,270
(C2×C4⋊1D4).2C2 = C42.413D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D432(C2xC4:1D4).2C2128,277
(C2×C4⋊1D4).3C2 = C42.82D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D432(C2xC4:1D4).3C2128,287
(C2×C4⋊1D4).4C2 = C24.24D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D416(C2xC4:1D4).4C2128,619
(C2×C4⋊1D4).5C2 = C42.432D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4).5C2128,689
(C2×C4⋊1D4).6C2 = C42.112D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4).6C2128,693
(C2×C4⋊1D4).7C2 = M4(2)⋊12D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D432(C2xC4:1D4).7C2128,697
(C2×C4⋊1D4).8C2 = C42.118D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4).8C2128,714
(C2×C4⋊1D4).9C2 = (C2×C8)⋊20D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4).9C2128,746
(C2×C4⋊1D4).10C2 = C4⋊C4⋊7D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4).10C2128,773
(C2×C4⋊1D4).11C2 = C2×C42⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D416(C2xC4:1D4).11C2128,856
(C2×C4⋊1D4).12C2 = C42⋊14D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4).12C2128,1060
(C2×C4⋊1D4).13C2 = C24.219C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4).13C2128,1098
(C2×C4⋊1D4).14C2 = C23.262C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4).14C2128,1112
(C2×C4⋊1D4).15C2 = C23.345C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4).15C2128,1177
(C2×C4⋊1D4).16C2 = C42⋊21D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4).16C2128,1276
(C2×C4⋊1D4).17C2 = C42.171D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4).17C2128,1280
(C2×C4⋊1D4).18C2 = C42.194D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4).18C2128,1373
(C2×C4⋊1D4).19C2 = C24.411C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4).19C2128,1441
(C2×C4⋊1D4).20C2 = C43⋊12C2φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4).20C2128,1590
(C2×C4⋊1D4).21C2 = C2×C4⋊SD16φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4).21C2128,1764
(C2×C4⋊1D4).22C2 = C2×C4.4D8φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4).22C2128,1860
(C2×C4⋊1D4).23C2 = C2×C42.29C22φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4).23C2128,1865
(C2×C4⋊1D4).24C2 = C42.240D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D432(C2xC4:1D4).24C2128,1870
(C2×C4⋊1D4).25C2 = C2×C8⋊5D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4).25C2128,1875
(C2×C4⋊1D4).26C2 = C42.266D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D432(C2xC4:1D4).26C2128,1940
(C2×C4⋊1D4).27C2 = C2×C22.53C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊1D464(C2xC4:1D4).27C2128,2211
(C2×C4⋊1D4).28C2 = C4×C4⋊1D4φ: trivial image64(C2xC4:1D4).28C2128,1038

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