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

Direct product G=N×Q with N=C2×C22⋊C4 and Q=C4
dρLabelID
C2×C4×C22⋊C464C2xC4xC2^2:C4128,1000

Semidirect products G=N:Q with N=C2×C22⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×C22⋊C4)⋊1C4 = C24.4Q8φ: C4/C1 → C4 ⊆ Out C2×C22⋊C416(C2xC2^2:C4):1C4128,36
(C2×C22⋊C4)⋊2C4 = C24.5D4φ: C4/C1 → C4 ⊆ Out C2×C22⋊C432(C2xC2^2:C4):2C4128,122
(C2×C22⋊C4)⋊3C4 = C24.C23φ: C4/C1 → C4 ⊆ Out C2×C22⋊C4168+(C2xC2^2:C4):3C4128,560
(C2×C22⋊C4)⋊4C4 = C24.78D4φ: C4/C1 → C4 ⊆ Out C2×C22⋊C416(C2xC2^2:C4):4C4128,630
(C2×C22⋊C4)⋊5C4 = C24.174C23φ: C4/C1 → C4 ⊆ Out C2×C22⋊C432(C2xC2^2:C4):5C4128,631
(C2×C22⋊C4)⋊6C4 = C24.175C23φ: C4/C1 → C4 ⊆ Out C2×C22⋊C432(C2xC2^2:C4):6C4128,696
(C2×C22⋊C4)⋊7C4 = C2×C2≀C4φ: C4/C1 → C4 ⊆ Out C2×C22⋊C416(C2xC2^2:C4):7C4128,850
(C2×C22⋊C4)⋊8C4 = C2×C23.D4φ: C4/C1 → C4 ⊆ Out C2×C22⋊C432(C2xC2^2:C4):8C4128,851
(C2×C22⋊C4)⋊9C4 = C24.36D4φ: C4/C1 → C4 ⊆ Out C2×C22⋊C4168+(C2xC2^2:C4):9C4128,853
(C2×C22⋊C4)⋊10C4 = C24.17Q8φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4):10C4128,165
(C2×C22⋊C4)⋊11C4 = C23⋊2C42φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4):11C4128,169
(C2×C22⋊C4)⋊12C4 = C24.52D4φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4):12C4128,172
(C2×C22⋊C4)⋊13C4 = C2×C23.9D4φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4):13C4128,471
(C2×C22⋊C4)⋊14C4 = C4×C23⋊C4φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4):14C4128,486
(C2×C22⋊C4)⋊15C4 = C24.68D4φ: C4/C2 → C2 ⊆ Out C2×C22⋊C416(C2xC2^2:C4):15C4128,551
(C2×C22⋊C4)⋊16C4 = C23⋊C42φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4):16C4128,1005
(C2×C22⋊C4)⋊17C4 = C24.5Q8φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4):17C4128,171
(C2×C22⋊C4)⋊18C4 = C24.167C23φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4):18C4128,531
(C2×C22⋊C4)⋊19C4 = C2×C23.8Q8φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4):19C4128,1018
(C2×C22⋊C4)⋊20C4 = C2×C24.C22φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4):20C4128,1021
(C2×C22⋊C4)⋊21C4 = C23.194C24φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4):21C4128,1044
(C2×C22⋊C4)⋊22C4 = C24.91D4φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4):22C4128,1047
(C2×C22⋊C4)⋊23C4 = C23.224C24φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4):23C4128,1074

Non-split extensions G=N.Q with N=C2×C22⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×C22⋊C4).1C4 = C23.C42φ: C4/C1 → C4 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).1C4128,37
(C2×C22⋊C4).2C4 = C23.8C42φ: C4/C1 → C4 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).2C4128,38
(C2×C22⋊C4).3C4 = C24⋊C8φ: C4/C1 → C4 ⊆ Out C2×C22⋊C416(C2xC2^2:C4).3C4128,48
(C2×C22⋊C4).4C4 = C23.15M4(2)φ: C4/C1 → C4 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).4C4128,49
(C2×C22⋊C4).5C4 = C24.6(C2×C4)φ: C4/C1 → C4 ⊆ Out C2×C22⋊C4168+(C2xC2^2:C4).5C4128,561
(C2×C22⋊C4).6C4 = C23.2M4(2)φ: C4/C1 → C4 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).6C4128,58
(C2×C22⋊C4).7C4 = C23⋊C8⋊C2φ: C4/C1 → C4 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).7C4128,200
(C2×C22⋊C4).8C4 = C42.395D4φ: C4/C1 → C4 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).8C4128,201
(C2×C22⋊C4).9C4 = C24.45(C2×C4)φ: C4/C1 → C4 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).9C4128,204
(C2×C22⋊C4).10C4 = C42.372D4φ: C4/C1 → C4 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).10C4128,205
(C2×C22⋊C4).11C4 = M4(2)⋊20D4φ: C4/C1 → C4 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).11C4128,632
(C2×C22⋊C4).12C4 = M4(2).45D4φ: C4/C1 → C4 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).12C4128,633
(C2×C22⋊C4).13C4 = C42.115D4φ: C4/C1 → C4 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).13C4128,699
(C2×C22⋊C4).14C4 = C23.21C42φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).14C4128,14
(C2×C22⋊C4).15C4 = C2×C23⋊C8φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).15C4128,188
(C2×C22⋊C4).16C4 = C42.371D4φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).16C4128,190
(C2×C22⋊C4).17C4 = C23.8M4(2)φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).17C4128,191
(C2×C22⋊C4).18C4 = C23⋊M4(2)φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).18C4128,197
(C2×C22⋊C4).19C4 = C23.29C42φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4).19C4128,461
(C2×C22⋊C4).20C4 = C23.15C42φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).20C4128,474
(C2×C22⋊C4).21C4 = C2×M4(2)⋊4C4φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).21C4128,475
(C2×C22⋊C4).22C4 = C42.379D4φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4).22C4128,482
(C2×C22⋊C4).23C4 = C23.36C42φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4).23C4128,484
(C2×C22⋊C4).24C4 = C23.17C42φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4).24C4128,485
(C2×C22⋊C4).25C4 = C4×C4.D4φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).25C4128,487
(C2×C22⋊C4).26C4 = C24.53(C2×C4)φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4).26C4128,550
(C2×C22⋊C4).27C4 = (C22×C4).276D4φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).27C4128,554
(C2×C22⋊C4).28C4 = C23.21M4(2)φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4).28C4128,582
(C2×C22⋊C4).29C4 = C23.22M4(2)φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4).29C4128,601
(C2×C22⋊C4).30C4 = C22⋊C4⋊4C8φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4).30C4128,655
(C2×C22⋊C4).31C4 = C42.325D4φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4).31C4128,686
(C2×C22⋊C4).32C4 = M4(2)○2M4(2)φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).32C4128,1605
(C2×C22⋊C4).33C4 = C42.691C23φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).33C4128,1704
(C2×C22⋊C4).34C4 = C25.3C4φ: C4/C2 → C2 ⊆ Out C2×C22⋊C416(C2xC2^2:C4).34C4128,194
(C2×C22⋊C4).35C4 = C42.42D4φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).35C4128,196
(C2×C22⋊C4).36C4 = C42.95D4φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4).36C4128,530
(C2×C22⋊C4).37C4 = C42.96D4φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).37C4128,532
(C2×C22⋊C4).38C4 = (C2×C8).195D4φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4).38C4128,583
(C2×C22⋊C4).39C4 = C23⋊2M4(2)φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4).39C4128,602
(C2×C22⋊C4).40C4 = C23.9M4(2)φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4).40C4128,656
(C2×C22⋊C4).41C4 = C42.109D4φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4).41C4128,687
(C2×C22⋊C4).42C4 = C2×C42.6C22φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4).42C4128,1636
(C2×C22⋊C4).43C4 = C42.257C23φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).43C4128,1637
(C2×C22⋊C4).44C4 = C2×C42.7C22φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4).44C4128,1651
(C2×C22⋊C4).45C4 = C42.259C23φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).45C4128,1653
(C2×C22⋊C4).46C4 = C42.262C23φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).46C4128,1656
(C2×C22⋊C4).47C4 = C2×C8⋊9D4φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4).47C4128,1659
(C2×C22⋊C4).48C4 = C2×C8⋊6D4φ: C4/C2 → C2 ⊆ Out C2×C22⋊C464(C2xC2^2:C4).48C4128,1660
(C2×C22⋊C4).49C4 = D4×M4(2)φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).49C4128,1666
(C2×C22⋊C4).50C4 = C23⋊3M4(2)φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).50C4128,1705
(C2×C22⋊C4).51C4 = D4⋊7M4(2)φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).51C4128,1706
(C2×C22⋊C4).52C4 = C42.693C23φ: C4/C2 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).52C4128,1707
(C2×C22⋊C4).53C4 = C8×C22⋊C4φ: trivial image64(C2xC2^2:C4).53C4128,483
(C2×C22⋊C4).54C4 = C2×C8○2M4(2)φ: trivial image64(C2xC2^2:C4).54C4128,1604
(C2×C22⋊C4).55C4 = D4×C2×C8φ: trivial image64(C2xC2^2:C4).55C4128,1658

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