Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C7×Q8⋊C4 and Q=C2

Direct product G=N×Q with N=C7×Q8⋊C4 and Q=C2
dρLabelID
C14×Q8⋊C4448C14xQ8:C4448,823

Semidirect products G=N:Q with N=C7×Q8⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×Q8⋊C4)⋊1C2 = C7×C8⋊8D4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):1C2448,873
(C7×Q8⋊C4)⋊2C2 = C7×C8.18D4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):2C2448,875
(C7×Q8⋊C4)⋊3C2 = C7×C42.78C22φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):3C2448,896
(C7×Q8⋊C4)⋊4C2 = D14⋊4Q16φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):4C2448,342
(C7×Q8⋊C4)⋊5C2 = D14.Q16φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):5C2448,343
(C7×Q8⋊C4)⋊6C2 = D28⋊4D4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):6C2448,345
(C7×Q8⋊C4)⋊7C2 = D14⋊C8.C2φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):7C2448,348
(C7×Q8⋊C4)⋊8C2 = D28.12D4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):8C2448,353
(C7×Q8⋊C4)⋊9C2 = Dic14.11D4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):9C2448,332
(C7×Q8⋊C4)⋊10C2 = D14.1SD16φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):10C2448,339
(C7×Q8⋊C4)⋊11C2 = Q8⋊2D28φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):11C2448,340
(C7×Q8⋊C4)⋊12C2 = Q8.D28φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):12C2448,344
(C7×Q8⋊C4)⋊13C2 = (C2×C8).D14φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):13C2448,349
(C7×Q8⋊C4)⋊14C2 = Dic7⋊SD16φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):14C2448,352
(C7×Q8⋊C4)⋊15C2 = Dic7⋊7SD16φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):15C2448,322
(C7×Q8⋊C4)⋊16C2 = Q8⋊C4⋊D7φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):16C2448,329
(C7×Q8⋊C4)⋊17C2 = Q8⋊Dic7⋊C2φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):17C2448,334
(C7×Q8⋊C4)⋊18C2 = D7×Q8⋊C4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):18C2448,335
(C7×Q8⋊C4)⋊19C2 = (Q8×D7)⋊C4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):19C2448,336
(C7×Q8⋊C4)⋊20C2 = Q8⋊(C4×D7)φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):20C2448,337
(C7×Q8⋊C4)⋊21C2 = Q8⋊2D7⋊C4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):21C2448,338
(C7×Q8⋊C4)⋊22C2 = D14⋊2SD16φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):22C2448,341
(C7×Q8⋊C4)⋊23C2 = C7⋊(C8⋊D4)φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):23C2448,346
(C7×Q8⋊C4)⋊24C2 = D14⋊Q16φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):24C2448,347
(C7×Q8⋊C4)⋊25C2 = C7⋊C8.D4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):25C2448,350
(C7×Q8⋊C4)⋊26C2 = Q8⋊D7⋊C4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):26C2448,351
(C7×Q8⋊C4)⋊27C2 = C7×D4⋊D4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):27C2448,857
(C7×Q8⋊C4)⋊28C2 = C7×C22⋊Q16φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):28C2448,859
(C7×Q8⋊C4)⋊29C2 = C7×D4.2D4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):29C2448,871
(C7×Q8⋊C4)⋊30C2 = C7×C23.48D4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):30C2448,892
(C7×Q8⋊C4)⋊31C2 = C7×Q8⋊D4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):31C2448,856
(C7×Q8⋊C4)⋊32C2 = C7×D4.7D4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):32C2448,860
(C7×Q8⋊C4)⋊33C2 = C7×D4.D4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):33C2448,869
(C7×Q8⋊C4)⋊34C2 = C7×Q8.D4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):34C2448,872
(C7×Q8⋊C4)⋊35C2 = C7×C23.47D4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):35C2448,891
(C7×Q8⋊C4)⋊36C2 = C7×C23.20D4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):36C2448,893
(C7×Q8⋊C4)⋊37C2 = C7×C23.36D4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):37C2448,825
(C7×Q8⋊C4)⋊38C2 = C7×C23.38D4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):38C2448,827
(C7×Q8⋊C4)⋊39C2 = C7×SD16⋊C4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):39C2448,848
(C7×Q8⋊C4)⋊40C2 = C7×C8⋊D4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):40C2448,876
(C7×Q8⋊C4)⋊41C2 = C7×C8.D4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):41C2448,878
(C7×Q8⋊C4)⋊42C2 = C7×C42.28C22φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4224(C7xQ8:C4):42C2448,897
(C7×Q8⋊C4)⋊43C2 = C7×C23.24D4φ: trivial image224(C7xQ8:C4):43C2448,824
(C7×Q8⋊C4)⋊44C2 = SD16×C28φ: trivial image224(C7xQ8:C4):44C2448,846

Non-split extensions G=N.Q with N=C7×Q8⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×Q8⋊C4).1C2 = C7×C4.SD16φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4448(C7xQ8:C4).1C2448,895
(C7×Q8⋊C4).2C2 = Dic7⋊Q16φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4448(C7xQ8:C4).2C2448,327
(C7×Q8⋊C4).3C2 = Dic7.Q16φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4448(C7xQ8:C4).3C2448,328
(C7×Q8⋊C4).4C2 = Q8.Dic14φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4448(C7xQ8:C4).4C2448,330
(C7×Q8⋊C4).5C2 = Q8⋊Dic14φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4448(C7xQ8:C4).5C2448,325
(C7×Q8⋊C4).6C2 = Q8.2Dic14φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4448(C7xQ8:C4).6C2448,333
(C7×Q8⋊C4).7C2 = C7⋊Q16⋊C4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4448(C7xQ8:C4).7C2448,323
(C7×Q8⋊C4).8C2 = Dic7⋊4Q16φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4448(C7xQ8:C4).8C2448,324
(C7×Q8⋊C4).9C2 = Dic7.1Q16φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4448(C7xQ8:C4).9C2448,326
(C7×Q8⋊C4).10C2 = C56⋊C4.C2φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4448(C7xQ8:C4).10C2448,331
(C7×Q8⋊C4).11C2 = C7×C4⋊2Q16φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4448(C7xQ8:C4).11C2448,870
(C7×Q8⋊C4).12C2 = C7×C4.Q16φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4448(C7xQ8:C4).12C2448,885
(C7×Q8⋊C4).13C2 = C7×Q8⋊Q8φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4448(C7xQ8:C4).13C2448,883
(C7×Q8⋊C4).14C2 = C7×Q8.Q8φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4448(C7xQ8:C4).14C2448,887
(C7×Q8⋊C4).15C2 = C7×Q16⋊C4φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4448(C7xQ8:C4).15C2448,849
(C7×Q8⋊C4).16C2 = C7×C42.30C22φ: C2/C1 → C2 ⊆ Out C7×Q8⋊C4448(C7xQ8:C4).16C2448,899
(C7×Q8⋊C4).17C2 = Q16×C28φ: trivial image448(C7xQ8:C4).17C2448,847

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁