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

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

Direct product G=N×Q with N=C7×C4⋊C4 and Q=C2
dρLabelID
C14×C4⋊C4224C14xC4:C4224,151

Semidirect products G=N:Q with N=C7×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C4⋊C4)⋊1C2 = C14.D8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4112(C7xC4:C4):1C2224,15
(C7×C4⋊C4)⋊2C2 = D7×C4⋊C4φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4112(C7xC4:C4):2C2224,86
(C7×C4⋊C4)⋊3C2 = C4⋊C4⋊7D7φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4112(C7xC4:C4):3C2224,87
(C7×C4⋊C4)⋊4C2 = D28⋊C4φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4112(C7xC4:C4):4C2224,88
(C7×C4⋊C4)⋊5C2 = D14.5D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4112(C7xC4:C4):5C2224,89
(C7×C4⋊C4)⋊6C2 = C4⋊D28φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4112(C7xC4:C4):6C2224,90
(C7×C4⋊C4)⋊7C2 = D14⋊Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4112(C7xC4:C4):7C2224,91
(C7×C4⋊C4)⋊8C2 = D14⋊2Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4112(C7xC4:C4):8C2224,92
(C7×C4⋊C4)⋊9C2 = C4⋊C4⋊D7φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4112(C7xC4:C4):9C2224,93
(C7×C4⋊C4)⋊10C2 = C7×D4⋊C4φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4112(C7xC4:C4):10C2224,51
(C7×C4⋊C4)⋊11C2 = C7×C4⋊D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4112(C7xC4:C4):11C2224,156
(C7×C4⋊C4)⋊12C2 = C7×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4112(C7xC4:C4):12C2224,157
(C7×C4⋊C4)⋊13C2 = C7×C22.D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4112(C7xC4:C4):13C2224,158
(C7×C4⋊C4)⋊14C2 = C7×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4112(C7xC4:C4):14C2224,161
(C7×C4⋊C4)⋊15C2 = C7×C42⋊C2φ: trivial image112(C7xC4:C4):15C2224,152
(C7×C4⋊C4)⋊16C2 = D4×C28φ: trivial image112(C7xC4:C4):16C2224,153

Non-split extensions G=N.Q with N=C7×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C4⋊C4).1C2 = C28.Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4224(C7xC4:C4).1C2224,13
(C7×C4⋊C4).2C2 = C4.Dic14φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4224(C7xC4:C4).2C2224,14
(C7×C4⋊C4).3C2 = C14.Q16φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4224(C7xC4:C4).3C2224,16
(C7×C4⋊C4).4C2 = Dic7⋊3Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4224(C7xC4:C4).4C2224,82
(C7×C4⋊C4).5C2 = C28⋊Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4224(C7xC4:C4).5C2224,83
(C7×C4⋊C4).6C2 = Dic7.Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4224(C7xC4:C4).6C2224,84
(C7×C4⋊C4).7C2 = C28.3Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4224(C7xC4:C4).7C2224,85
(C7×C4⋊C4).8C2 = C7×Q8⋊C4φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4224(C7xC4:C4).8C2224,52
(C7×C4⋊C4).9C2 = C7×C4.Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4224(C7xC4:C4).9C2224,55
(C7×C4⋊C4).10C2 = C7×C2.D8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4224(C7xC4:C4).10C2224,56
(C7×C4⋊C4).11C2 = C7×C42.C2φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4224(C7xC4:C4).11C2224,160
(C7×C4⋊C4).12C2 = C7×C4⋊Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊C4224(C7xC4:C4).12C2224,163
(C7×C4⋊C4).13C2 = Q8×C28φ: trivial image224(C7xC4:C4).13C2224,154

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁