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

Extensions 1→N→G→Q→1 with N=C14×C22⋊C4 and Q=C2

Direct product G=N×Q with N=C14×C22⋊C4 and Q=C2
dρLabelID
C22⋊C4×C2×C14224C2^2:C4xC2xC14448,1295

Semidirect products G=N:Q with N=C14×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C14×C22⋊C4)⋊1C2 = C2×C23.1D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4):1C2448,488
(C14×C22⋊C4)⋊2C2 = C23.44D28φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4):2C2448,489
(C14×C22⋊C4)⋊3C2 = C23.45D28φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4):3C2448,492
(C14×C22⋊C4)⋊4C2 = C24.14D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4):4C2448,493
(C14×C22⋊C4)⋊5C2 = C7×C24⋊3C4φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4):5C2448,787
(C14×C22⋊C4)⋊6C2 = C7×C23.23D4φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4):6C2448,794
(C14×C22⋊C4)⋊7C2 = C7×C24.3C22φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4):7C2448,798
(C14×C22⋊C4)⋊8C2 = C7×C23.10D4φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4):8C2448,802
(C14×C22⋊C4)⋊9C2 = C14×C23⋊C4φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4):9C2448,817
(C14×C22⋊C4)⋊10C2 = C7×C22.11C24φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4):10C2448,1301
(C14×C22⋊C4)⋊11C2 = C23⋊2D28φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4):11C2448,494
(C14×C22⋊C4)⋊12C2 = C23.16D28φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4):12C2448,495
(C14×C22⋊C4)⋊13C2 = C2×C22⋊D28φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4):13C2448,940
(C14×C22⋊C4)⋊14C2 = C2×C22.D28φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4):14C2448,945
(C14×C22⋊C4)⋊15C2 = C23⋊3D28φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4):15C2448,946
(C14×C22⋊C4)⋊16C2 = C2×D14.D4φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4):16C2448,941
(C14×C22⋊C4)⋊17C2 = C2×D14⋊D4φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4):17C2448,942
(C14×C22⋊C4)⋊18C2 = C24.27D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4):18C2448,943
(C14×C22⋊C4)⋊19C2 = C2×Dic7.D4φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4):19C2448,944
(C14×C22⋊C4)⋊20C2 = C24.30D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4):20C2448,947
(C14×C22⋊C4)⋊21C2 = C24.31D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4):21C2448,948
(C14×C22⋊C4)⋊22C2 = C24.12D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4):22C2448,490
(C14×C22⋊C4)⋊23C2 = C24.13D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4):23C2448,491
(C14×C22⋊C4)⋊24C2 = C2×D7×C22⋊C4φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4):24C2448,937
(C14×C22⋊C4)⋊25C2 = C2×Dic7⋊4D4φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4):25C2448,938
(C14×C22⋊C4)⋊26C2 = C24.24D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4):26C2448,939
(C14×C22⋊C4)⋊27C2 = C7×C23⋊2D4φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4):27C2448,800
(C14×C22⋊C4)⋊28C2 = C14×C22≀C2φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4):28C2448,1304
(C14×C22⋊C4)⋊29C2 = C14×C4⋊D4φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4):29C2448,1305
(C14×C22⋊C4)⋊30C2 = C14×C22.D4φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4):30C2448,1307
(C14×C22⋊C4)⋊31C2 = C14×C4.4D4φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4):31C2448,1309
(C14×C22⋊C4)⋊32C2 = C7×C23⋊3D4φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4):32C2448,1317
(C14×C22⋊C4)⋊33C2 = C7×C22.32C24φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4):33C2448,1321
(C14×C22⋊C4)⋊34C2 = C7×D4⋊5D4φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4):34C2448,1329
(C14×C22⋊C4)⋊35C2 = C7×C22.45C24φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4):35C2448,1334
(C14×C22⋊C4)⋊36C2 = D4×C2×C28φ: trivial image224(C14xC2^2:C4):36C2448,1298

Non-split extensions G=N.Q with N=C14×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C14×C22⋊C4).1C2 = C24.D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4).1C2448,83
(C14×C22⋊C4).2C2 = C24.2D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4).2C2448,84
(C14×C22⋊C4).3C2 = C7×C23⋊C8φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4).3C2448,127
(C14×C22⋊C4).4C2 = C7×C23.9D4φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4).4C2448,146
(C14×C22⋊C4).5C2 = C24.44D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).5C2448,476
(C14×C22⋊C4).6C2 = C23.42D28φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).6C2448,477
(C14×C22⋊C4).7C2 = C24.46D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).7C2448,480
(C14×C22⋊C4).8C2 = C24.9D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).8C2448,486
(C14×C22⋊C4).9C2 = C7×C23.7Q8φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).9C2448,788
(C14×C22⋊C4).10C2 = C7×C23.34D4φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).10C2448,789
(C14×C22⋊C4).11C2 = C7×C23.8Q8φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).11C2448,793
(C14×C22⋊C4).12C2 = C23⋊Dic14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).12C2448,481
(C14×C22⋊C4).13C2 = C24.6D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).13C2448,482
(C14×C22⋊C4).14C2 = C24.7D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).14C2448,483
(C14×C22⋊C4).15C2 = C24.47D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).15C2448,484
(C14×C22⋊C4).16C2 = C24.10D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).16C2448,487
(C14×C22⋊C4).17C2 = C2×C22⋊Dic14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).17C2448,934
(C14×C22⋊C4).18C2 = C23⋊2Dic14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4).18C2448,936
(C14×C22⋊C4).19C2 = C24.8D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).19C2448,485
(C14×C22⋊C4).20C2 = C2×C23.D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).20C2448,935
(C14×C22⋊C4).21C2 = C24.Dic7φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4).21C2448,82
(C14×C22⋊C4).22C2 = C22⋊C4×Dic7φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).22C2448,475
(C14×C22⋊C4).23C2 = C24.3D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).23C2448,478
(C14×C22⋊C4).24C2 = C24.4D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).24C2448,479
(C14×C22⋊C4).25C2 = C2×C23.11D14φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).25C2448,933
(C14×C22⋊C4).26C2 = C7×C24.C22φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).26C2448,796
(C14×C22⋊C4).27C2 = C7×C23⋊Q8φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).27C2448,801
(C14×C22⋊C4).28C2 = C7×C23.Q8φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).28C2448,804
(C14×C22⋊C4).29C2 = C7×C23.11D4φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).29C2448,805
(C14×C22⋊C4).30C2 = C7×C23.4Q8φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).30C2448,807
(C14×C22⋊C4).31C2 = C14×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).31C2448,1306
(C14×C22⋊C4).32C2 = C14×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4224(C14xC2^2:C4).32C2448,1311
(C14×C22⋊C4).33C2 = C7×C23⋊2Q8φ: C2/C1 → C2 ⊆ Out C14×C22⋊C4112(C14xC2^2:C4).33C2448,1326
(C14×C22⋊C4).34C2 = C22⋊C4×C28φ: trivial image224(C14xC2^2:C4).34C2448,785
(C14×C22⋊C4).35C2 = C14×C42⋊C2φ: trivial image224(C14xC2^2:C4).35C2448,1297

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁