# Extensions 1→N→G→Q→1 with N=C2×C42 and Q=C4

Direct product G=N×Q with N=C2×C42 and Q=C4
dρLabelID
C2×C43128C2xC4^3128,997

Semidirect products G=N:Q with N=C2×C42 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C42)⋊1C4 = C24.46D4φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2):1C4128,16
(C2×C42)⋊2C4 = C24.169C23φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2):2C4128,552
(C2×C42)⋊3C4 = C24.6D4φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2):3C4128,125
(C2×C42)⋊4C4 = C2×C4.9C42φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2):4C4128,462
(C2×C42)⋊5C4 = C24.162C23φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2):5C4128,472
(C2×C42)⋊6C4 = C4×C23⋊C4φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2):6C4128,486
(C2×C42)⋊7C4 = C24.167C23φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2):7C4128,531
(C2×C42)⋊8C4 = (C2×C42)⋊C4φ: C4/C1C4 ⊆ Aut C2×C42164(C2xC4^2):8C4128,559
(C2×C42)⋊9C4 = C2×C42⋊C4φ: C4/C1C4 ⊆ Aut C2×C4216(C2xC4^2):9C4128,856
(C2×C42)⋊10C4 = C2×C423C4φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2):10C4128,857
(C2×C42)⋊11C4 = C4⋊Q829C4φ: C4/C1C4 ⊆ Aut C2×C42164(C2xC4^2):11C4128,858
(C2×C42)⋊12C4 = C4×C2.C42φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2):12C4128,164
(C2×C42)⋊13C4 = C24.624C23φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2):13C4128,166
(C2×C42)⋊14C4 = C2×C424C4φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2):14C4128,999
(C2×C42)⋊15C4 = C2×C425C4φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2):15C4128,1014
(C2×C42)⋊16C4 = C24.625C23φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2):16C4128,167
(C2×C42)⋊17C4 = C2×C426C4φ: C4/C2C2 ⊆ Aut C2×C4232(C2xC4^2):17C4128,464
(C2×C42)⋊18C4 = C2×C4×C4⋊C4φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2):18C4128,1001
(C2×C42)⋊19C4 = C4×C42⋊C2φ: C4/C2C2 ⊆ Aut C2×C4264(C2xC4^2):19C4128,1002
(C2×C42)⋊20C4 = C2×C428C4φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2):20C4128,1013
(C2×C42)⋊21C4 = C23.165C24φ: C4/C2C2 ⊆ Aut C2×C4264(C2xC4^2):21C4128,1015
(C2×C42)⋊22C4 = C2×C429C4φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2):22C4128,1016
(C2×C42)⋊23C4 = C23.167C24φ: C4/C2C2 ⊆ Aut C2×C4264(C2xC4^2):23C4128,1017

Non-split extensions G=N.Q with N=C2×C42 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C42).1C4 = C42.4Q8φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2).1C4128,17
(C2×C42).2C4 = C42.42D4φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2).2C4128,196
(C2×C42).3C4 = (C22×C4).276D4φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2).3C4128,554
(C2×C42).4C4 = C421C8φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2).4C4128,6
(C2×C42).5C4 = (C2×D4)⋊C8φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2).5C4128,50
(C2×C42).6C4 = (C2×C42).C4φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2).6C4128,51
(C2×C42).7C4 = C22.M5(2)φ: C4/C1C4 ⊆ Aut C2×C4264(C2xC4^2).7C4128,54
(C2×C42).8C4 = C42⋊C8φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2).8C4128,56
(C2×C42).9C4 = C423C8φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2).9C4128,57
(C2×C42).10C4 = C42.C8φ: C4/C1C4 ⊆ Aut C2×C42164(C2xC4^2).10C4128,59
(C2×C42).11C4 = C42.2C8φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2).11C4128,107
(C2×C42).12C4 = M5(2)⋊C4φ: C4/C1C4 ⊆ Aut C2×C4264(C2xC4^2).12C4128,109
(C2×C42).13C4 = (C2×Q8).Q8φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2).13C4128,126
(C2×C42).14C4 = C42.371D4φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2).14C4128,190
(C2×C42).15C4 = C23.8M4(2)φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2).15C4128,191
(C2×C42).16C4 = C42.394D4φ: C4/C1C4 ⊆ Aut C2×C4264(C2xC4^2).16C4128,193
(C2×C42).17C4 = C23⋊M4(2)φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2).17C4128,197
(C2×C42).18C4 = C42.44D4φ: C4/C1C4 ⊆ Aut C2×C4264(C2xC4^2).18C4128,199
(C2×C42).19C4 = C23.15C42φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2).19C4128,474
(C2×C42).20C4 = C4×C4.10D4φ: C4/C1C4 ⊆ Aut C2×C4264(C2xC4^2).20C4128,488
(C2×C42).21C4 = C42.97D4φ: C4/C1C4 ⊆ Aut C2×C4264(C2xC4^2).21C4128,533
(C2×C42).22C4 = C2×C16⋊C4φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2).22C4128,841
(C2×C42).23C4 = C2×C42.C4φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2).23C4128,862
(C2×C42).24C4 = C2×C42.3C4φ: C4/C1C4 ⊆ Aut C2×C4232(C2xC4^2).24C4128,863
(C2×C42).25C4 = (C2×D4).135D4φ: C4/C1C4 ⊆ Aut C2×C42164(C2xC4^2).25C4128,864
(C2×C42).26C4 = C8.5M4(2)φ: C4/C1C4 ⊆ Aut C2×C42164(C2xC4^2).26C4128,897
(C2×C42).27C4 = C22.7M5(2)φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2).27C4128,106
(C2×C42).28C4 = C4×C8⋊C4φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2).28C4128,457
(C2×C42).29C4 = C2×C22.7C42φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2).29C4128,459
(C2×C42).30C4 = C424C8φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2).30C4128,476
(C2×C42).31C4 = C43.C2φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2).31C4128,477
(C2×C42).32C4 = C4×C22⋊C8φ: C4/C2C2 ⊆ Aut C2×C4264(C2xC4^2).32C4128,480
(C2×C42).33C4 = C42.378D4φ: C4/C2C2 ⊆ Aut C2×C4264(C2xC4^2).33C4128,481
(C2×C42).34C4 = C4×C4⋊C8φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2).34C4128,498
(C2×C42).35C4 = C43.7C2φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2).35C4128,499
(C2×C42).36C4 = C42.425D4φ: C4/C2C2 ⊆ Aut C2×C4264(C2xC4^2).36C4128,529
(C2×C42).37C4 = C23.32M4(2)φ: C4/C2C2 ⊆ Aut C2×C4264(C2xC4^2).37C4128,549
(C2×C42).38C4 = C425C8φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2).38C4128,571
(C2×C42).39C4 = C2×C165C4φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2).39C4128,838
(C2×C42).40C4 = C22×C8⋊C4φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2).40C4128,1602
(C2×C42).41C4 = C426C8φ: C4/C2C2 ⊆ Aut C2×C4232(C2xC4^2).41C4128,8
(C2×C42).42C4 = C42.7C8φ: C4/C2C2 ⊆ Aut C2×C4232(C2xC4^2).42C4128,108
(C2×C42).43C4 = C23.28C42φ: C4/C2C2 ⊆ Aut C2×C4264(C2xC4^2).43C4128,460
(C2×C42).44C4 = C428C8φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2).44C4128,563
(C2×C42).45C4 = C429C8φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2).45C4128,574
(C2×C42).46C4 = C4×M5(2)φ: C4/C2C2 ⊆ Aut C2×C4264(C2xC4^2).46C4128,839
(C2×C42).47C4 = C2×C4⋊C16φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2).47C4128,881
(C2×C42).48C4 = C4⋊M5(2)φ: C4/C2C2 ⊆ Aut C2×C4264(C2xC4^2).48C4128,882
(C2×C42).49C4 = C2×C8.C8φ: C4/C2C2 ⊆ Aut C2×C4232(C2xC4^2).49C4128,884
(C2×C42).50C4 = C42.13C8φ: C4/C2C2 ⊆ Aut C2×C4264(C2xC4^2).50C4128,894
(C2×C42).51C4 = C42.6C8φ: C4/C2C2 ⊆ Aut C2×C4264(C2xC4^2).51C4128,895
(C2×C42).52C4 = C2×C4×M4(2)φ: C4/C2C2 ⊆ Aut C2×C4264(C2xC4^2).52C4128,1603
(C2×C42).53C4 = C22×C4⋊C8φ: C4/C2C2 ⊆ Aut C2×C42128(C2xC4^2).53C4128,1634
(C2×C42).54C4 = C2×C4⋊M4(2)φ: C4/C2C2 ⊆ Aut C2×C4264(C2xC4^2).54C4128,1635
(C2×C42).55C4 = C2×C42.12C4φ: C4/C2C2 ⊆ Aut C2×C4264(C2xC4^2).55C4128,1649
(C2×C42).56C4 = C2×C42.6C4φ: C4/C2C2 ⊆ Aut C2×C4264(C2xC4^2).56C4128,1650
(C2×C42).57C4 = C42.677C23φ: C4/C2C2 ⊆ Aut C2×C4232(C2xC4^2).57C4128,1652

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