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Extensions 1→N→G→Q→1 with N=C7×C4.10D4 and Q=C2

Direct product G=N×Q with N=C7×C4.10D4 and Q=C2
dρLabelID
C14×C4.10D4224C14xC4.10D4448,820

Semidirect products G=N:Q with N=C7×C4.10D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C4.10D4)⋊1C2 = D28.6D4φ: C2/C1 → C2 ⊆ Out C7×C4.10D41128+(C7xC4.10D4):1C2448,288
(C7×C4.10D4)⋊2C2 = D28.7D4φ: C2/C1 → C2 ⊆ Out C7×C4.10D42248-(C7xC4.10D4):2C2448,289
(C7×C4.10D4)⋊3C2 = D28.4D4φ: C2/C1 → C2 ⊆ Out C7×C4.10D41128-(C7xC4.10D4):3C2448,286
(C7×C4.10D4)⋊4C2 = D28.5D4φ: C2/C1 → C2 ⊆ Out C7×C4.10D41128+(C7xC4.10D4):4C2448,287
(C7×C4.10D4)⋊5C2 = D7×C4.10D4φ: C2/C1 → C2 ⊆ Out C7×C4.10D41128-(C7xC4.10D4):5C2448,284
(C7×C4.10D4)⋊6C2 = M4(2).21D14φ: C2/C1 → C2 ⊆ Out C7×C4.10D41128+(C7xC4.10D4):6C2448,285
(C7×C4.10D4)⋊7C2 = C7×D4.8D4φ: C2/C1 → C2 ⊆ Out C7×C4.10D41124(C7xC4.10D4):7C2448,862
(C7×C4.10D4)⋊8C2 = C7×D4.10D4φ: C2/C1 → C2 ⊆ Out C7×C4.10D41124(C7xC4.10D4):8C2448,864
(C7×C4.10D4)⋊9C2 = C7×D4.3D4φ: C2/C1 → C2 ⊆ Out C7×C4.10D41124(C7xC4.10D4):9C2448,879
(C7×C4.10D4)⋊10C2 = C7×D4.5D4φ: C2/C1 → C2 ⊆ Out C7×C4.10D42244(C7xC4.10D4):10C2448,881
(C7×C4.10D4)⋊11C2 = (C2×C4).D28φ: C2/C1 → C2 ⊆ Out C7×C4.10D41128+(C7xC4.10D4):11C2448,34
(C7×C4.10D4)⋊12C2 = C7×C42.C4φ: C2/C1 → C2 ⊆ Out C7×C4.10D41124(C7xC4.10D4):12C2448,159
(C7×C4.10D4)⋊13C2 = C7×M4(2).8C22φ: trivial image1124(C7xC4.10D4):13C2448,821

Non-split extensions G=N.Q with N=C7×C4.10D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C4.10D4).1C2 = (C2×Q8).D14φ: C2/C1 → C2 ⊆ Out C7×C4.10D41128-(C7xC4.10D4).1C2448,35
(C7×C4.10D4).2C2 = C7×C42.3C4φ: C2/C1 → C2 ⊆ Out C7×C4.10D41124(C7xC4.10D4).2C2448,160

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