# Extensions 1→N→G→Q→1 with N=C7×C4.D4 and Q=C2

Direct product G=N×Q with N=C7×C4.D4 and Q=C2
dρLabelID
C14×C4.D4112C14xC4.D4448,819

Semidirect products G=N:Q with N=C7×C4.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C4.D4)⋊1C2 = D28.2D4φ: C2/C1C2 ⊆ Out C7×C4.D41128-(C7xC4.D4):1C2448,282
(C7×C4.D4)⋊2C2 = D28.3D4φ: C2/C1C2 ⊆ Out C7×C4.D41128+(C7xC4.D4):2C2448,283
(C7×C4.D4)⋊3C2 = D28.1D4φ: C2/C1C2 ⊆ Out C7×C4.D41128-(C7xC4.D4):3C2448,280
(C7×C4.D4)⋊4C2 = D281D4φ: C2/C1C2 ⊆ Out C7×C4.D4568+(C7xC4.D4):4C2448,281
(C7×C4.D4)⋊5C2 = D7×C4.D4φ: C2/C1C2 ⊆ Out C7×C4.D4568+(C7xC4.D4):5C2448,278
(C7×C4.D4)⋊6C2 = M4(2).19D14φ: C2/C1C2 ⊆ Out C7×C4.D41128-(C7xC4.D4):6C2448,279
(C7×C4.D4)⋊7C2 = C7×D44D4φ: C2/C1C2 ⊆ Out C7×C4.D4564(C7xC4.D4):7C2448,861
(C7×C4.D4)⋊8C2 = C7×D4.9D4φ: C2/C1C2 ⊆ Out C7×C4.D41124(C7xC4.D4):8C2448,863
(C7×C4.D4)⋊9C2 = C7×D4.3D4φ: C2/C1C2 ⊆ Out C7×C4.D41124(C7xC4.D4):9C2448,879
(C7×C4.D4)⋊10C2 = C7×D4.4D4φ: C2/C1C2 ⊆ Out C7×C4.D41124(C7xC4.D4):10C2448,880
(C7×C4.D4)⋊11C2 = C23.3D28φ: C2/C1C2 ⊆ Out C7×C4.D4568+(C7xC4.D4):11C2448,32
(C7×C4.D4)⋊12C2 = C7×C2≀C4φ: C2/C1C2 ⊆ Out C7×C4.D4564(C7xC4.D4):12C2448,155
(C7×C4.D4)⋊13C2 = C7×M4(2).8C22φ: trivial image1124(C7xC4.D4):13C2448,821

Non-split extensions G=N.Q with N=C7×C4.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C4.D4).1C2 = C23.4D28φ: C2/C1C2 ⊆ Out C7×C4.D41128-(C7xC4.D4).1C2448,33
(C7×C4.D4).2C2 = C7×C23.D4φ: C2/C1C2 ⊆ Out C7×C4.D41124(C7xC4.D4).2C2448,156

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