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Extensions 1→N→G→Q→1 with N=C7×C4⋊C8 and Q=C2

Direct product G=N×Q with N=C7×C4⋊C8 and Q=C2
dρLabelID
C14×C4⋊C8448C14xC4:C8448,830

Semidirect products G=N:Q with N=C7×C4⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C4⋊C8)⋊1C2 = D28⋊2C8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):1C2448,40
(C7×C4⋊C8)⋊2C2 = C4.D56φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):2C2448,42
(C7×C4⋊C8)⋊3C2 = C7×D4⋊C8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):3C2448,129
(C7×C4⋊C8)⋊4C2 = C7×C4.D8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):4C2448,135
(C7×C4⋊C8)⋊5C2 = C4⋊D56φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):5C2448,377
(C7×C4⋊C8)⋊6C2 = D28⋊4Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):6C2448,380
(C7×C4⋊C8)⋊7C2 = D28.19D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):7C2448,378
(C7×C4⋊C8)⋊8C2 = C42.36D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):8C2448,379
(C7×C4⋊C8)⋊9C2 = D28.3Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):9C2448,381
(C7×C4⋊C8)⋊10C2 = C28⋊SD16φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):10C2448,375
(C7×C4⋊C8)⋊11C2 = D28⋊3Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):11C2448,376
(C7×C4⋊C8)⋊12C2 = Dic14⋊8D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):12C2448,382
(C7×C4⋊C8)⋊13C2 = D7×C4⋊C8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):13C2448,366
(C7×C4⋊C8)⋊14C2 = C42.200D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):14C2448,367
(C7×C4⋊C8)⋊15C2 = D28⋊C8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):15C2448,368
(C7×C4⋊C8)⋊16C2 = C42.202D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):16C2448,369
(C7×C4⋊C8)⋊17C2 = D14⋊3M4(2)φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):17C2448,370
(C7×C4⋊C8)⋊18C2 = C28⋊M4(2)φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):18C2448,371
(C7×C4⋊C8)⋊19C2 = C28⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):19C2448,372
(C7×C4⋊C8)⋊20C2 = C42.30D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):20C2448,373
(C7×C4⋊C8)⋊21C2 = C42.31D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):21C2448,374
(C7×C4⋊C8)⋊22C2 = C7×C4⋊D8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):22C2448,867
(C7×C4⋊C8)⋊23C2 = C7×D4⋊Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):23C2448,882
(C7×C4⋊C8)⋊24C2 = C7×D4.2D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):24C2448,871
(C7×C4⋊C8)⋊25C2 = C7×Q8.D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):25C2448,872
(C7×C4⋊C8)⋊26C2 = C7×D4.Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):26C2448,886
(C7×C4⋊C8)⋊27C2 = C7×C4⋊SD16φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):27C2448,868
(C7×C4⋊C8)⋊28C2 = C7×D4.D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):28C2448,869
(C7×C4⋊C8)⋊29C2 = C7×D4⋊2Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):29C2448,884
(C7×C4⋊C8)⋊30C2 = C7×C4⋊M4(2)φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):30C2448,831
(C7×C4⋊C8)⋊31C2 = C7×C42.6C22φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):31C2448,832
(C7×C4⋊C8)⋊32C2 = C7×C42.6C4φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):32C2448,840
(C7×C4⋊C8)⋊33C2 = C7×C42.7C22φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):33C2448,841
(C7×C4⋊C8)⋊34C2 = C7×C8⋊9D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):34C2448,843
(C7×C4⋊C8)⋊35C2 = C7×C8⋊6D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8224(C7xC4:C8):35C2448,844
(C7×C4⋊C8)⋊36C2 = C7×C42.12C4φ: trivial image224(C7xC4:C8):36C2448,839
(C7×C4⋊C8)⋊37C2 = D4×C56φ: trivial image224(C7xC4:C8):37C2448,842

Non-split extensions G=N.Q with N=C7×C4⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C4⋊C8).1C2 = C28.53D8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).1C2448,36
(C7×C4⋊C8).2C2 = C28.39SD16φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).2C2448,37
(C7×C4⋊C8).3C2 = C4.Dic28φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).3C2448,38
(C7×C4⋊C8).4C2 = C28.47D8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).4C2448,39
(C7×C4⋊C8).5C2 = Dic14⋊2C8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).5C2448,41
(C7×C4⋊C8).6C2 = C28.2D8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).6C2448,43
(C7×C4⋊C8).7C2 = C7×Q8⋊C8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).7C2448,130
(C7×C4⋊C8).8C2 = C7×C4.10D8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).8C2448,136
(C7×C4⋊C8).9C2 = C7×C4.6Q16φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).9C2448,137
(C7×C4⋊C8).10C2 = C7×C8⋊2C8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).10C2448,138
(C7×C4⋊C8).11C2 = C7×C8⋊1C8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).11C2448,139
(C7×C4⋊C8).12C2 = C4⋊Dic28φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).12C2448,383
(C7×C4⋊C8).13C2 = C28.7Q16φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).13C2448,384
(C7×C4⋊C8).14C2 = Dic14.3Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).14C2448,363
(C7×C4⋊C8).15C2 = Dic14⋊4Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).15C2448,385
(C7×C4⋊C8).16C2 = C42.27D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).16C2448,362
(C7×C4⋊C8).17C2 = Dic14⋊C8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).17C2448,364
(C7×C4⋊C8).18C2 = C28.M4(2)φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).18C2448,365
(C7×C4⋊C8).19C2 = C7×C4⋊2Q16φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).19C2448,870
(C7×C4⋊C8).20C2 = C7×C4.Q16φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).20C2448,885
(C7×C4⋊C8).21C2 = C7×Q8.Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).21C2448,887
(C7×C4⋊C8).22C2 = C7×Q8⋊Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).22C2448,883
(C7×C4⋊C8).23C2 = C7×C8⋊4Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C8448(C7xC4:C8).23C2448,854
(C7×C4⋊C8).24C2 = Q8×C56φ: trivial image448(C7xC4:C8).24C2448,853

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