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Extensions 1→N→G→Q→1 with N=C7×C22⋊C8 and Q=C2

Direct product G=N×Q with N=C7×C22⋊C8 and Q=C2
dρLabelID
C14×C22⋊C8224C14xC2^2:C8448,814

Semidirect products G=N:Q with N=C7×C22⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C22⋊C8)⋊1C2 = (C22×D7)⋊C8φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8112(C7xC2^2:C8):1C2448,25
(C7×C22⋊C8)⋊2C2 = C22.2D56φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8112(C7xC2^2:C8):2C2448,27
(C7×C22⋊C8)⋊3C2 = C7×C23⋊C8φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8112(C7xC2^2:C8):3C2448,127
(C7×C22⋊C8)⋊4C2 = C7×C22.SD16φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8112(C7xC2^2:C8):4C2448,131
(C7×C22⋊C8)⋊5C2 = D28⋊13D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8112(C7xC2^2:C8):5C2448,266
(C7×C22⋊C8)⋊6C2 = C22.D56φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8):6C2448,270
(C7×C22⋊C8)⋊7C2 = D28.32D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8):7C2448,267
(C7×C22⋊C8)⋊8C2 = D28⋊14D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8):8C2448,268
(C7×C22⋊C8)⋊9C2 = C23.13D28φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8):9C2448,271
(C7×C22⋊C8)⋊10C2 = D28.31D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8112(C7xC2^2:C8):10C2448,265
(C7×C22⋊C8)⋊11C2 = C23.38D28φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8):11C2448,269
(C7×C22⋊C8)⋊12C2 = Dic14⋊14D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8):12C2448,272
(C7×C22⋊C8)⋊13C2 = D7×C22⋊C8φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8112(C7xC2^2:C8):13C2448,258
(C7×C22⋊C8)⋊14C2 = C7⋊D4⋊C8φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8):14C2448,259
(C7×C22⋊C8)⋊15C2 = D14⋊M4(2)φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8112(C7xC2^2:C8):15C2448,260
(C7×C22⋊C8)⋊16C2 = D14⋊C8⋊C2φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8):16C2448,261
(C7×C22⋊C8)⋊17C2 = D14⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8):17C2448,262
(C7×C22⋊C8)⋊18C2 = Dic7⋊M4(2)φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8):18C2448,263
(C7×C22⋊C8)⋊19C2 = C7⋊C8⋊26D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8):19C2448,264
(C7×C22⋊C8)⋊20C2 = C7×C22⋊D8φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8112(C7xC2^2:C8):20C2448,855
(C7×C22⋊C8)⋊21C2 = C7×C22.D8φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8):21C2448,888
(C7×C22⋊C8)⋊22C2 = C7×D4⋊D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8):22C2448,857
(C7×C22⋊C8)⋊23C2 = C7×D4.7D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8):23C2448,860
(C7×C22⋊C8)⋊24C2 = C7×C23.19D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8):24C2448,890
(C7×C22⋊C8)⋊25C2 = C7×Q8⋊D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8):25C2448,856
(C7×C22⋊C8)⋊26C2 = C7×C22⋊SD16φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8112(C7xC2^2:C8):26C2448,858
(C7×C22⋊C8)⋊27C2 = C7×C23.46D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8):27C2448,889
(C7×C22⋊C8)⋊28C2 = C7×C24.4C4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8112(C7xC2^2:C8):28C2448,815
(C7×C22⋊C8)⋊29C2 = C7×(C22×C8)⋊C2φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8):29C2448,816
(C7×C22⋊C8)⋊30C2 = C7×C8⋊9D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8):30C2448,843
(C7×C22⋊C8)⋊31C2 = C7×C8⋊6D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8):31C2448,844
(C7×C22⋊C8)⋊32C2 = D4×C56φ: trivial image224(C7xC2^2:C8):32C2448,842

Non-split extensions G=N.Q with N=C7×C22⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C22⋊C8).1C2 = C23.30D28φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8112(C7xC2^2:C8).1C2448,24
(C7×C22⋊C8).2C2 = (C2×Dic7)⋊C8φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8).2C2448,26
(C7×C22⋊C8).3C2 = C7×C22.M4(2)φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8).3C2448,128
(C7×C22⋊C8).4C2 = C7×C23.31D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8112(C7xC2^2:C8).4C2448,132
(C7×C22⋊C8).5C2 = C23.35D28φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8).5C2448,256
(C7×C22⋊C8).6C2 = C22⋊Dic28φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8).6C2448,273
(C7×C22⋊C8).7C2 = C23.10D28φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8).7C2448,257
(C7×C22⋊C8).8C2 = C23.34D28φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8).8C2448,255
(C7×C22⋊C8).9C2 = Dic7.5M4(2)φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8).9C2448,252
(C7×C22⋊C8).10C2 = Dic7.M4(2)φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8).10C2448,253
(C7×C22⋊C8).11C2 = C56⋊C4⋊C2φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8).11C2448,254
(C7×C22⋊C8).12C2 = C7×C22⋊Q16φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8).12C2448,859
(C7×C22⋊C8).13C2 = C7×C23.48D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8).13C2448,892
(C7×C22⋊C8).14C2 = C7×C23.20D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8).14C2448,893
(C7×C22⋊C8).15C2 = C7×C23.47D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8).15C2448,891
(C7×C22⋊C8).16C2 = C7×C42.6C4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8).16C2448,840
(C7×C22⋊C8).17C2 = C7×C42.7C22φ: C2/C1 → C2 ⊆ Out C7×C22⋊C8224(C7xC2^2:C8).17C2448,841
(C7×C22⋊C8).18C2 = C7×C42.12C4φ: trivial image224(C7xC2^2:C8).18C2448,839

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