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

Direct product G=N×Q with N=C7×C22⋊C4 and Q=C4
dρLabelID
C22⋊C4×C28224C2^2:C4xC28448,785

Semidirect products G=N:Q with N=C7×C22⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C7×C22⋊C4)⋊1C4 = C24⋊Dic7φ: C4/C1 → C4 ⊆ Out C7×C22⋊C4564(C7xC2^2:C4):1C4448,93
(C7×C22⋊C4)⋊2C4 = (C22×C28)⋊C4φ: C4/C1 → C4 ⊆ Out C7×C22⋊C41124(C7xC2^2:C4):2C4448,96
(C7×C22⋊C4)⋊3C4 = C7×C2≀C4φ: C4/C1 → C4 ⊆ Out C7×C22⋊C4564(C7xC2^2:C4):3C4448,155
(C7×C22⋊C4)⋊4C4 = C7×C23.D4φ: C4/C1 → C4 ⊆ Out C7×C22⋊C41124(C7xC2^2:C4):4C4448,156
(C7×C22⋊C4)⋊5C4 = C24.2D14φ: C4/C2 → C2 ⊆ Out C7×C22⋊C4112(C7xC2^2:C4):5C4448,84
(C7×C22⋊C4)⋊6C4 = C7×C23.9D4φ: C4/C2 → C2 ⊆ Out C7×C22⋊C4112(C7xC2^2:C4):6C4448,146
(C7×C22⋊C4)⋊7C4 = C24.47D14φ: C4/C2 → C2 ⊆ Out C7×C22⋊C4224(C7xC2^2:C4):7C4448,484
(C7×C22⋊C4)⋊8C4 = C24.8D14φ: C4/C2 → C2 ⊆ Out C7×C22⋊C4224(C7xC2^2:C4):8C4448,485
(C7×C22⋊C4)⋊9C4 = C22⋊C4×Dic7φ: C4/C2 → C2 ⊆ Out C7×C22⋊C4224(C7xC2^2:C4):9C4448,475
(C7×C22⋊C4)⋊10C4 = C7×C23.8Q8φ: C4/C2 → C2 ⊆ Out C7×C22⋊C4224(C7xC2^2:C4):10C4448,793
(C7×C22⋊C4)⋊11C4 = C7×C24.C22φ: C4/C2 → C2 ⊆ Out C7×C22⋊C4224(C7xC2^2:C4):11C4448,796

Non-split extensions G=N.Q with N=C7×C22⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C7×C22⋊C4).1C4 = (C2×C28).Q8φ: C4/C2 → C2 ⊆ Out C7×C22⋊C41124(C7xC2^2:C4).1C4448,90
(C7×C22⋊C4).2C4 = C7×M4(2)⋊4C4φ: C4/C2 → C2 ⊆ Out C7×C22⋊C41124(C7xC2^2:C4).2C4448,148
(C7×C22⋊C4).3C4 = C42.43D14φ: C4/C2 → C2 ⊆ Out C7×C22⋊C4224(C7xC2^2:C4).3C4448,533
(C7×C22⋊C4).4C4 = C42.187D14φ: C4/C2 → C2 ⊆ Out C7×C22⋊C4224(C7xC2^2:C4).4C4448,534
(C7×C22⋊C4).5C4 = C42.47D14φ: C4/C2 → C2 ⊆ Out C7×C22⋊C4224(C7xC2^2:C4).5C4448,545
(C7×C22⋊C4).6C4 = C28⋊3M4(2)φ: C4/C2 → C2 ⊆ Out C7×C22⋊C4224(C7xC2^2:C4).6C4448,546
(C7×C22⋊C4).7C4 = C28.5C42φ: C4/C2 → C2 ⊆ Out C7×C22⋊C4224(C7xC2^2:C4).7C4448,531
(C7×C22⋊C4).8C4 = D4×C7⋊C8φ: C4/C2 → C2 ⊆ Out C7×C22⋊C4224(C7xC2^2:C4).8C4448,544
(C7×C22⋊C4).9C4 = C7×C42.6C22φ: C4/C2 → C2 ⊆ Out C7×C22⋊C4224(C7xC2^2:C4).9C4448,832
(C7×C22⋊C4).10C4 = C7×C42.7C22φ: C4/C2 → C2 ⊆ Out C7×C22⋊C4224(C7xC2^2:C4).10C4448,841
(C7×C22⋊C4).11C4 = C7×C8⋊9D4φ: C4/C2 → C2 ⊆ Out C7×C22⋊C4224(C7xC2^2:C4).11C4448,843
(C7×C22⋊C4).12C4 = C7×C8⋊6D4φ: C4/C2 → C2 ⊆ Out C7×C22⋊C4224(C7xC2^2:C4).12C4448,844
(C7×C22⋊C4).13C4 = C7×C8○2M4(2)φ: trivial image224(C7xC2^2:C4).13C4448,813
(C7×C22⋊C4).14C4 = D4×C56φ: trivial image224(C7xC2^2:C4).14C4448,842

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