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

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

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

Semidirect products G=N:Q with N=C2×C22⋊C4 and Q=C14
extensionφ:Q→Out NdρLabelID
(C2×C22⋊C4)⋊1C14 = C7×C24⋊3C4φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4):1C14448,787
(C2×C22⋊C4)⋊2C14 = C7×C23.23D4φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4):2C14448,794
(C2×C22⋊C4)⋊3C14 = C7×C24.3C22φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4):3C14448,798
(C2×C22⋊C4)⋊4C14 = C14×C23⋊C4φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4):4C14448,817
(C2×C22⋊C4)⋊5C14 = C7×C22.11C24φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4):5C14448,1301
(C2×C22⋊C4)⋊6C14 = C7×C23⋊2D4φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4):6C14448,800
(C2×C22⋊C4)⋊7C14 = C7×C23.10D4φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4):7C14448,802
(C2×C22⋊C4)⋊8C14 = C14×C22≀C2φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4):8C14448,1304
(C2×C22⋊C4)⋊9C14 = C14×C4⋊D4φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4):9C14448,1305
(C2×C22⋊C4)⋊10C14 = C14×C22.D4φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4):10C14448,1307
(C2×C22⋊C4)⋊11C14 = C14×C4.4D4φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4):11C14448,1309
(C2×C22⋊C4)⋊12C14 = C7×C23⋊3D4φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4):12C14448,1317
(C2×C22⋊C4)⋊13C14 = C7×C22.32C24φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4):13C14448,1321
(C2×C22⋊C4)⋊14C14 = C7×D4⋊5D4φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4):14C14448,1329
(C2×C22⋊C4)⋊15C14 = C7×C22.45C24φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4):15C14448,1334
(C2×C22⋊C4)⋊16C14 = D4×C2×C28φ: trivial image224(C2xC2^2:C4):16C14448,1298

Non-split extensions G=N.Q with N=C2×C22⋊C4 and Q=C14
extensionφ:Q→Out NdρLabelID
(C2×C22⋊C4).1C14 = C7×C23⋊C8φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4).1C14448,127
(C2×C22⋊C4).2C14 = C7×C23.9D4φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4).2C14448,146
(C2×C22⋊C4).3C14 = C7×C23.7Q8φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).3C14448,788
(C2×C22⋊C4).4C14 = C7×C23.34D4φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).4C14448,789
(C2×C22⋊C4).5C14 = C7×C23.8Q8φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).5C14448,793
(C2×C22⋊C4).6C14 = C7×C24.C22φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).6C14448,796
(C2×C22⋊C4).7C14 = C7×C23.11D4φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).7C14448,805
(C2×C22⋊C4).8C14 = C7×C23⋊Q8φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).8C14448,801
(C2×C22⋊C4).9C14 = C7×C23.Q8φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).9C14448,804
(C2×C22⋊C4).10C14 = C7×C23.4Q8φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).10C14448,807
(C2×C22⋊C4).11C14 = C14×C22⋊Q8φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).11C14448,1306
(C2×C22⋊C4).12C14 = C14×C42⋊2C2φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4224(C2xC2^2:C4).12C14448,1311
(C2×C22⋊C4).13C14 = C7×C23⋊2Q8φ: C14/C7 → C2 ⊆ Out C2×C22⋊C4112(C2xC2^2:C4).13C14448,1326
(C2×C22⋊C4).14C14 = C22⋊C4×C28φ: trivial image224(C2xC2^2:C4).14C14448,785
(C2×C22⋊C4).15C14 = C14×C42⋊C2φ: trivial image224(C2xC2^2:C4).15C14448,1297

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁