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Extensions 1→N→G→Q→1 with N=C22×C4○D4 and Q=C2

Direct product G=N×Q with N=C22×C4○D4 and Q=C2
dρLabelID
C23×C4○D464C2^3xC4oD4128,2322

Semidirect products G=N:Q with N=C22×C4○D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C4○D4)⋊1C2 = C23.288C24φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4):1C2128,1120
(C22×C4○D4)⋊2C2 = C23.304C24φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4):2C2128,1136
(C22×C4○D4)⋊3C2 = C24.244C23φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4):3C2128,1139
(C22×C4○D4)⋊4C2 = C24.262C23φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4):4C2128,1162
(C22×C4○D4)⋊5C2 = C24.263C23φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4):5C2128,1163
(C22×C4○D4)⋊6C2 = C24.360C23φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4):6C2128,1347
(C22×C4○D4)⋊7C2 = C2×D4⋊D4φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4):7C2128,1732
(C22×C4○D4)⋊8C2 = C24.103D4φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4):8C2128,1734
(C22×C4○D4)⋊9C2 = C24.104D4φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4):9C2128,1737
(C22×C4○D4)⋊10C2 = C24.105D4φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4):10C2128,1738
(C22×C4○D4)⋊11C2 = C2×C22.19C24φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4):11C2128,2167
(C22×C4○D4)⋊12C2 = C2×C22.26C24φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4):12C2128,2174
(C22×C4○D4)⋊13C2 = C2×C22.29C24φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4):13C2128,2178
(C22×C4○D4)⋊14C2 = C2×C22.31C24φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4):14C2128,2180
(C22×C4○D4)⋊15C2 = C22.38C25φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4):15C2128,2181
(C22×C4○D4)⋊16C2 = C2×D4⋊5D4φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4):16C2128,2195
(C22×C4○D4)⋊17C2 = C2×D4⋊6D4φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4):17C2128,2196
(C22×C4○D4)⋊18C2 = C2×Q8⋊5D4φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4):18C2128,2197
(C22×C4○D4)⋊19C2 = C2×Q8⋊6D4φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4):19C2128,2199
(C22×C4○D4)⋊20C2 = D4×C4○D4φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4):20C2128,2200
(C22×C4○D4)⋊21C2 = C22.74C25φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4):21C2128,2217
(C22×C4○D4)⋊22C2 = C22.76C25φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4):22C2128,2219
(C22×C4○D4)⋊23C2 = C22.77C25φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4):23C2128,2220
(C22×C4○D4)⋊24C2 = C22.78C25φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4):24C2128,2221
(C22×C4○D4)⋊25C2 = C22×C4○D8φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4):25C2128,2309
(C22×C4○D4)⋊26C2 = C22×C8⋊C22φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4):26C2128,2310
(C22×C4○D4)⋊27C2 = C2×D8⋊C22φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4):27C2128,2312
(C22×C4○D4)⋊28C2 = C22×2+ 1+4φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4):28C2128,2323
(C22×C4○D4)⋊29C2 = C22×2- 1+4φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4):29C2128,2324
(C22×C4○D4)⋊30C2 = C2×C2.C25φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4):30C2128,2325

Non-split extensions G=N.Q with N=C22×C4○D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C4○D4).1C2 = C24.51(C2×C4)φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4).1C2128,512
(C22×C4○D4).2C2 = C24.165C23φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4).2C2128,514
(C22×C4○D4).3C2 = (C23×C4).C4φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4).3C2128,517
(C22×C4○D4).4C2 = C24.65D4φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4).4C2128,520
(C22×C4○D4).5C2 = C24.66D4φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4).5C2128,521
(C22×C4○D4).6C2 = C23.179C24φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4).6C2128,1029
(C22×C4○D4).7C2 = C24.542C23φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4).7C2128,1043
(C22×C4○D4).8C2 = C24.549C23φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4).8C2128,1071
(C22×C4○D4).9C2 = C23.223C24φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4).9C2128,1073
(C22×C4○D4).10C2 = C24.243C23φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4).10C2128,1138
(C22×C4○D4).11C2 = C24.264C23φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4).11C2128,1164
(C22×C4○D4).12C2 = C24.361C23φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4).12C2128,1348
(C22×C4○D4).13C2 = C2×(C22×C8)⋊C2φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4).13C2128,1610
(C22×C4○D4).14C2 = C24.73(C2×C4)φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4).14C2128,1611
(C22×C4○D4).15C2 = D4○(C22⋊C8)φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4).15C2128,1612
(C22×C4○D4).16C2 = C2×C23.C23φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4).16C2128,1614
(C22×C4○D4).17C2 = C2×M4(2).8C22φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4).17C2128,1619
(C22×C4○D4).18C2 = C2×C23.24D4φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4).18C2128,1624
(C22×C4○D4).19C2 = C2×C23.36D4φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4).19C2128,1627
(C22×C4○D4).20C2 = C24.98D4φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4).20C2128,1628
(C22×C4○D4).21C2 = C22×C4≀C2φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4).21C2128,1631
(C22×C4○D4).22C2 = C2×C42⋊C22φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4).22C2128,1632
(C22×C4○D4).23C2 = C2×D4.7D4φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4).23C2128,1733
(C22×C4○D4).24C2 = C24.106D4φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4).24C2128,1739
(C22×C4○D4).25C2 = C2×C23.33C23φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4).25C2128,2159
(C22×C4○D4).26C2 = C22.14C25φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4).26C2128,2160
(C22×C4○D4).27C2 = C2×C23.38C23φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4).27C2128,2179
(C22×C4○D4).28C2 = C2×Q8○M4(2)φ: C2/C1 → C2 ⊆ Out C22×C4○D432(C2^2xC4oD4).28C2128,2304
(C22×C4○D4).29C2 = C22×C8.C22φ: C2/C1 → C2 ⊆ Out C22×C4○D464(C2^2xC4oD4).29C2128,2311
(C22×C4○D4).30C2 = C2×C4×C4○D4φ: trivial image64(C2^2xC4oD4).30C2128,2156
(C22×C4○D4).31C2 = C22×C8○D4φ: trivial image64(C2^2xC4oD4).31C2128,2303

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