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

Extensions 1→N→G→Q→1 with N=C7×C22⋊C4 and Q=C2

Direct product G=N×Q with N=C7×C22⋊C4 and Q=C2
dρLabelID
C14×C22⋊C4112C14xC2^2:C4224,150

Semidirect products G=N:Q with N=C7×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C22⋊C4)⋊1C2 = C23.1D14φ: C2/C1 → C2 ⊆ Out C7×C22⋊C4564(C7xC2^2:C4):1C2224,12
(C7×C22⋊C4)⋊2C2 = C7×C23⋊C4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C4564(C7xC2^2:C4):2C2224,48
(C7×C22⋊C4)⋊3C2 = C22⋊D28φ: C2/C1 → C2 ⊆ Out C7×C22⋊C456(C7xC2^2:C4):3C2224,77
(C7×C22⋊C4)⋊4C2 = C22.D28φ: C2/C1 → C2 ⊆ Out C7×C22⋊C4112(C7xC2^2:C4):4C2224,81
(C7×C22⋊C4)⋊5C2 = D14.D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C4112(C7xC2^2:C4):5C2224,78
(C7×C22⋊C4)⋊6C2 = D14⋊D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C4112(C7xC2^2:C4):6C2224,79
(C7×C22⋊C4)⋊7C2 = Dic7.D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C4112(C7xC2^2:C4):7C2224,80
(C7×C22⋊C4)⋊8C2 = D7×C22⋊C4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C456(C7xC2^2:C4):8C2224,75
(C7×C22⋊C4)⋊9C2 = Dic7⋊4D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C4112(C7xC2^2:C4):9C2224,76
(C7×C22⋊C4)⋊10C2 = C7×C22≀C2φ: C2/C1 → C2 ⊆ Out C7×C22⋊C456(C7xC2^2:C4):10C2224,155
(C7×C22⋊C4)⋊11C2 = C7×C4⋊D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C4112(C7xC2^2:C4):11C2224,156
(C7×C22⋊C4)⋊12C2 = C7×C22.D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C4112(C7xC2^2:C4):12C2224,158
(C7×C22⋊C4)⋊13C2 = C7×C4.4D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊C4112(C7xC2^2:C4):13C2224,159
(C7×C22⋊C4)⋊14C2 = D4×C28φ: trivial image112(C7xC2^2:C4):14C2224,153

Non-split extensions G=N.Q with N=C7×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C22⋊C4).1C2 = C22⋊Dic14φ: C2/C1 → C2 ⊆ Out C7×C22⋊C4112(C7xC2^2:C4).1C2224,73
(C7×C22⋊C4).2C2 = C23.D14φ: C2/C1 → C2 ⊆ Out C7×C22⋊C4112(C7xC2^2:C4).2C2224,74
(C7×C22⋊C4).3C2 = C23.11D14φ: C2/C1 → C2 ⊆ Out C7×C22⋊C4112(C7xC2^2:C4).3C2224,72
(C7×C22⋊C4).4C2 = C7×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C7×C22⋊C4112(C7xC2^2:C4).4C2224,157
(C7×C22⋊C4).5C2 = C7×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C7×C22⋊C4112(C7xC2^2:C4).5C2224,161
(C7×C22⋊C4).6C2 = C7×C42⋊C2φ: trivial image112(C7xC2^2:C4).6C2224,152

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁