# Extensions 1→N→G→Q→1 with N=C22×C8 and Q=C4

Direct product G=N×Q with N=C22×C8 and Q=C4
dρLabelID
C22×C4×C8128C2^2xC4xC8128,1601

Semidirect products G=N:Q with N=C22×C8 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C22×C8)⋊1C4 = C23.21C42φ: C4/C1C4 ⊆ Aut C22×C832(C2^2xC8):1C4128,14
(C22×C8)⋊2C4 = C23.8D8φ: C4/C1C4 ⊆ Aut C22×C832(C2^2xC8):2C4128,21
(C22×C8)⋊3C4 = C23.2C42φ: C4/C1C4 ⊆ Aut C22×C8324(C2^2xC8):3C4128,123
(C22×C8)⋊4C4 = (C22×C8)⋊C4φ: C4/C1C4 ⊆ Aut C22×C8324(C2^2xC8):4C4128,127
(C22×C8)⋊5C4 = (C2×D4).24Q8φ: C4/C1C4 ⊆ Aut C22×C8324(C2^2xC8):5C4128,544
(C22×C8)⋊6C4 = C2×C4.9C42φ: C4/C1C4 ⊆ Aut C22×C832(C2^2xC8):6C4128,462
(C22×C8)⋊7C4 = C2×M4(2)⋊4C4φ: C4/C1C4 ⊆ Aut C22×C832(C2^2xC8):7C4128,475
(C22×C8)⋊8C4 = C23.5C42φ: C4/C1C4 ⊆ Aut C22×C8324(C2^2xC8):8C4128,489
(C22×C8)⋊9C4 = C2×C22.7C42φ: C4/C2C2 ⊆ Aut C22×C8128(C2^2xC8):9C4128,459
(C22×C8)⋊10C4 = C23.29C42φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8):10C4128,461
(C22×C8)⋊11C4 = C2×C22.4Q16φ: C4/C2C2 ⊆ Aut C22×C8128(C2^2xC8):11C4128,466
(C22×C8)⋊12C4 = C24.132D4φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8):12C4128,467
(C22×C8)⋊13C4 = C8×C22⋊C4φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8):13C4128,483
(C22×C8)⋊14C4 = C23.22D8φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8):14C4128,540
(C22×C8)⋊15C4 = C22×C2.D8φ: C4/C2C2 ⊆ Aut C22×C8128(C2^2xC8):15C4128,1640
(C22×C8)⋊16C4 = C2×C23.25D4φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8):16C4128,1641
(C22×C8)⋊17C4 = C24.133D4φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8):17C4128,539
(C22×C8)⋊18C4 = C22×C4.Q8φ: C4/C2C2 ⊆ Aut C22×C8128(C2^2xC8):18C4128,1639
(C22×C8)⋊19C4 = C23.36C42φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8):19C4128,484
(C22×C8)⋊20C4 = C22×C8⋊C4φ: C4/C2C2 ⊆ Aut C22×C8128(C2^2xC8):20C4128,1602
(C22×C8)⋊21C4 = C2×C82M4(2)φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8):21C4128,1604

Non-split extensions G=N.Q with N=C22×C8 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C22×C8).1C4 = C42.3Q8φ: C4/C1C4 ⊆ Aut C22×C864(C2^2xC8).1C4128,15
(C22×C8).2C4 = C42.25D4φ: C4/C1C4 ⊆ Aut C22×C864(C2^2xC8).2C4128,22
(C22×C8).3C4 = C42.27D4φ: C4/C1C4 ⊆ Aut C22×C864(C2^2xC8).3C4128,24
(C22×C8).4C4 = C24.2Q8φ: C4/C1C4 ⊆ Aut C22×C832(C2^2xC8).4C4128,25
(C22×C8).5C4 = C23⋊C16φ: C4/C1C4 ⊆ Aut C22×C832(C2^2xC8).5C4128,46
(C22×C8).6C4 = C23.1M4(2)φ: C4/C1C4 ⊆ Aut C22×C8324(C2^2xC8).6C4128,53
(C22×C8).7C4 = C22.M5(2)φ: C4/C1C4 ⊆ Aut C22×C864(C2^2xC8).7C4128,54
(C22×C8).8C4 = C22⋊C4.C8φ: C4/C1C4 ⊆ Aut C22×C8324(C2^2xC8).8C4128,60
(C22×C8).9C4 = C23.3C42φ: C4/C1C4 ⊆ Aut C22×C8324(C2^2xC8).9C4128,124
(C22×C8).10C4 = (C2×C8).103D4φ: C4/C1C4 ⊆ Aut C22×C8324(C2^2xC8).10C4128,545
(C22×C8).11C4 = C8.19M4(2)φ: C4/C1C4 ⊆ Aut C22×C8324(C2^2xC8).11C4128,898
(C22×C8).12C4 = C42.20D4φ: C4/C1C4 ⊆ Aut C22×C864(C2^2xC8).12C4128,7
(C22×C8).13C4 = C42.2Q8φ: C4/C1C4 ⊆ Aut C22×C864(C2^2xC8).13C4128,13
(C22×C8).14C4 = C42.2C8φ: C4/C1C4 ⊆ Aut C22×C832(C2^2xC8).14C4128,107
(C22×C8).15C4 = M5(2)⋊C4φ: C4/C1C4 ⊆ Aut C22×C864(C2^2xC8).15C4128,109
(C22×C8).16C4 = C23.C16φ: C4/C1C4 ⊆ Aut C22×C8324(C2^2xC8).16C4128,132
(C22×C8).17C4 = C2×C4.10C42φ: C4/C1C4 ⊆ Aut C22×C832(C2^2xC8).17C4128,463
(C22×C8).18C4 = C2×C16⋊C4φ: C4/C1C4 ⊆ Aut C22×C832(C2^2xC8).18C4128,841
(C22×C8).19C4 = C2×C23.C8φ: C4/C1C4 ⊆ Aut C22×C832(C2^2xC8).19C4128,846
(C22×C8).20C4 = M5(2).19C22φ: C4/C1C4 ⊆ Aut C22×C8324(C2^2xC8).20C4128,847
(C22×C8).21C4 = C2.C82φ: C4/C2C2 ⊆ Aut C22×C8128(C2^2xC8).21C4128,5
(C22×C8).22C4 = C42.385D4φ: C4/C2C2 ⊆ Aut C22×C8128(C2^2xC8).22C4128,9
(C22×C8).23C4 = C22.7M5(2)φ: C4/C2C2 ⊆ Aut C22×C8128(C2^2xC8).23C4128,106
(C22×C8).24C4 = C42.7C8φ: C4/C2C2 ⊆ Aut C22×C832(C2^2xC8).24C4128,108
(C22×C8).25C4 = C22⋊C32φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8).25C4128,131
(C22×C8).26C4 = C8×M4(2)φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8).26C4128,181
(C22×C8).27C4 = C23.27C42φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8).27C4128,184
(C22×C8).28C4 = C2×C4.C42φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8).28C4128,469
(C22×C8).29C4 = C2×C22⋊C16φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8).29C4128,843
(C22×C8).30C4 = C2×C4⋊C16φ: C4/C2C2 ⊆ Aut C22×C8128(C2^2xC8).30C4128,881
(C22×C8).31C4 = C4⋊M5(2)φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8).31C4128,882
(C22×C8).32C4 = C42.13C8φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8).32C4128,894
(C22×C8).33C4 = C2×C81C8φ: C4/C2C2 ⊆ Aut C22×C8128(C2^2xC8).33C4128,295
(C22×C8).34C4 = C87M4(2)φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8).34C4128,299
(C22×C8).35C4 = C24.19Q8φ: C4/C2C2 ⊆ Aut C22×C832(C2^2xC8).35C4128,542
(C22×C8).36C4 = C42.42Q8φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8).36C4128,296
(C22×C8).37C4 = C2×C8.C8φ: C4/C2C2 ⊆ Aut C22×C832(C2^2xC8).37C4128,884
(C22×C8).38C4 = C22×C8.C4φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8).38C4128,1646
(C22×C8).39C4 = C2×C82C8φ: C4/C2C2 ⊆ Aut C22×C8128(C2^2xC8).39C4128,294
(C22×C8).40C4 = C88M4(2)φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8).40C4128,298
(C22×C8).41C4 = C42.43Q8φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8).41C4128,300
(C22×C8).42C4 = C2×C8⋊C8φ: C4/C2C2 ⊆ Aut C22×C8128(C2^2xC8).42C4128,180
(C22×C8).43C4 = C82⋊C2φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8).43C4128,182
(C22×C8).44C4 = C89M4(2)φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8).44C4128,183
(C22×C8).45C4 = C2×C165C4φ: C4/C2C2 ⊆ Aut C22×C8128(C2^2xC8).45C4128,838
(C22×C8).46C4 = C4×M5(2)φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8).46C4128,839
(C22×C8).47C4 = C24.5C8φ: C4/C2C2 ⊆ Aut C22×C832(C2^2xC8).47C4128,844
(C22×C8).48C4 = C42.6C8φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8).48C4128,895
(C22×C8).49C4 = C2×M6(2)φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8).49C4128,989
(C22×C8).50C4 = C22×M5(2)φ: C4/C2C2 ⊆ Aut C22×C864(C2^2xC8).50C4128,2137

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