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Extensions 1→N→G→Q→1 with N=C7×D4⋊C4 and Q=C2

Direct product G=N×Q with N=C7×D4⋊C4 and Q=C2
dρLabelID
C14×D4⋊C4224C14xD4:C4448,822

Semidirect products G=N:Q with N=C7×D4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×D4⋊C4)⋊1C2 = C7×C8⋊8D4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):1C2448,873
(C7×D4⋊C4)⋊2C2 = C7×C8⋊7D4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):2C2448,874
(C7×D4⋊C4)⋊3C2 = C7×C4.4D8φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):3C2448,894
(C7×D4⋊C4)⋊4C2 = D4⋊D28φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4112(C7xD4:C4):4C2448,307
(C7×D4⋊C4)⋊5C2 = D14.D8φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):5C2448,308
(C7×D4⋊C4)⋊6C2 = D4.D28φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):6C2448,317
(C7×D4⋊C4)⋊7C2 = C56⋊1C4⋊C2φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):7C2448,318
(C7×D4⋊C4)⋊8C2 = D28⋊3D4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):8C2448,320
(C7×D4⋊C4)⋊9C2 = Dic14⋊2D4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):9C2448,296
(C7×D4⋊C4)⋊10C2 = D4.6D28φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4112(C7xD4:C4):10C2448,310
(C7×D4⋊C4)⋊11C2 = D14.SD16φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):11C2448,311
(C7×D4⋊C4)⋊12C2 = C8⋊Dic7⋊C2φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):12C2448,313
(C7×D4⋊C4)⋊13C2 = D4⋊3D28φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):13C2448,315
(C7×D4⋊C4)⋊14C2 = D28.D4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):14C2448,321
(C7×D4⋊C4)⋊15C2 = Dic7⋊4D8φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):15C2448,290
(C7×D4⋊C4)⋊16C2 = Dic7.SD16φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):16C2448,294
(C7×D4⋊C4)⋊17C2 = C4⋊C4.D14φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):17C2448,298
(C7×D4⋊C4)⋊18C2 = D7×D4⋊C4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4112(C7xD4:C4):18C2448,303
(C7×D4⋊C4)⋊19C2 = (D4×D7)⋊C4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4112(C7xD4:C4):19C2448,304
(C7×D4⋊C4)⋊20C2 = D4⋊(C4×D7)φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):20C2448,305
(C7×D4⋊C4)⋊21C2 = D4⋊2D7⋊C4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):21C2448,306
(C7×D4⋊C4)⋊22C2 = D14⋊D8φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):22C2448,309
(C7×D4⋊C4)⋊23C2 = D14⋊SD16φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):23C2448,312
(C7×D4⋊C4)⋊24C2 = C7⋊C8⋊1D4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):24C2448,314
(C7×D4⋊C4)⋊25C2 = C7⋊C8⋊D4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):25C2448,316
(C7×D4⋊C4)⋊26C2 = D4⋊D7⋊C4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):26C2448,319
(C7×D4⋊C4)⋊27C2 = C7×C22⋊D8φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4112(C7xD4:C4):27C2448,855
(C7×D4⋊C4)⋊28C2 = C7×D4.7D4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):28C2448,860
(C7×D4⋊C4)⋊29C2 = C7×C4⋊D8φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):29C2448,867
(C7×D4⋊C4)⋊30C2 = C7×C22.D8φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):30C2448,888
(C7×D4⋊C4)⋊31C2 = C7×C23.19D4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):31C2448,890
(C7×D4⋊C4)⋊32C2 = C7×D4⋊D4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):32C2448,857
(C7×D4⋊C4)⋊33C2 = C7×C22⋊SD16φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4112(C7xD4:C4):33C2448,858
(C7×D4⋊C4)⋊34C2 = C7×C4⋊SD16φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):34C2448,868
(C7×D4⋊C4)⋊35C2 = C7×D4.2D4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):35C2448,871
(C7×D4⋊C4)⋊36C2 = C7×C23.46D4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):36C2448,889
(C7×D4⋊C4)⋊37C2 = C7×C23.36D4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):37C2448,825
(C7×D4⋊C4)⋊38C2 = C7×C23.37D4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4112(C7xD4:C4):38C2448,826
(C7×D4⋊C4)⋊39C2 = C7×D8⋊C4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):39C2448,850
(C7×D4⋊C4)⋊40C2 = C7×C8⋊D4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):40C2448,876
(C7×D4⋊C4)⋊41C2 = C7×C8⋊2D4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):41C2448,877
(C7×D4⋊C4)⋊42C2 = C7×C42.29C22φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4):42C2448,898
(C7×D4⋊C4)⋊43C2 = C7×C23.24D4φ: trivial image224(C7xD4:C4):43C2448,824
(C7×D4⋊C4)⋊44C2 = D8×C28φ: trivial image224(C7xD4:C4):44C2448,845

Non-split extensions G=N.Q with N=C7×D4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×D4⋊C4).1C2 = C7×C42.78C22φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4).1C2448,896
(C7×D4⋊C4).2C2 = Dic7.D8φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4).2C2448,293
(C7×D4⋊C4).3C2 = D4.2Dic14φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4).3C2448,300
(C7×D4⋊C4).4C2 = Dic14.D4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4).4C2448,301
(C7×D4⋊C4).5C2 = D4⋊Dic14φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4).5C2448,295
(C7×D4⋊C4).6C2 = D4.Dic14φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4).6C2448,297
(C7×D4⋊C4).7C2 = D4.D7⋊C4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4).7C2448,291
(C7×D4⋊C4).8C2 = Dic7⋊6SD16φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4).8C2448,292
(C7×D4⋊C4).9C2 = C28⋊Q8⋊C2φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4).9C2448,299
(C7×D4⋊C4).10C2 = (C8×Dic7)⋊C2φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4).10C2448,302
(C7×D4⋊C4).11C2 = C7×Q8.D4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4).11C2448,872
(C7×D4⋊C4).12C2 = C7×D4⋊Q8φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4).12C2448,882
(C7×D4⋊C4).13C2 = C7×D4.Q8φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4).13C2448,886
(C7×D4⋊C4).14C2 = C7×D4⋊2Q8φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4).14C2448,884
(C7×D4⋊C4).15C2 = C7×SD16⋊C4φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4).15C2448,848
(C7×D4⋊C4).16C2 = C7×C42.28C22φ: C2/C1 → C2 ⊆ Out C7×D4⋊C4224(C7xD4:C4).16C2448,897
(C7×D4⋊C4).17C2 = SD16×C28φ: trivial image224(C7xD4:C4).17C2448,846

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