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Extensions 1→N→G→Q→1 with N=C5×C22≀C2 and Q=C2

Direct product G=N×Q with N=C5×C22≀C2 and Q=C2
dρLabelID
C10×C22≀C280C10xC2^2wrC2320,1523

Semidirect products G=N:Q with N=C5×C22≀C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C22≀C2)⋊1C2 = C24⋊2D10φ: C2/C1 → C2 ⊆ Out C5×C22≀C2404(C5xC2^2wrC2):1C2320,659
(C5×C22≀C2)⋊2C2 = C24.56D10φ: C2/C1 → C2 ⊆ Out C5×C22≀C280(C5xC2^2wrC2):2C2320,1258
(C5×C22≀C2)⋊3C2 = D5×C22≀C2φ: C2/C1 → C2 ⊆ Out C5×C22≀C240(C5xC2^2wrC2):3C2320,1260
(C5×C22≀C2)⋊4C2 = C24⋊3D10φ: C2/C1 → C2 ⊆ Out C5×C22≀C280(C5xC2^2wrC2):4C2320,1261
(C5×C22≀C2)⋊5C2 = C24⋊4D10φ: C2/C1 → C2 ⊆ Out C5×C22≀C280(C5xC2^2wrC2):5C2320,1262
(C5×C22≀C2)⋊6C2 = C24.33D10φ: C2/C1 → C2 ⊆ Out C5×C22≀C280(C5xC2^2wrC2):6C2320,1263
(C5×C22≀C2)⋊7C2 = C24.34D10φ: C2/C1 → C2 ⊆ Out C5×C22≀C280(C5xC2^2wrC2):7C2320,1264
(C5×C22≀C2)⋊8C2 = C24.35D10φ: C2/C1 → C2 ⊆ Out C5×C22≀C280(C5xC2^2wrC2):8C2320,1265
(C5×C22≀C2)⋊9C2 = C24⋊5D10φ: C2/C1 → C2 ⊆ Out C5×C22≀C280(C5xC2^2wrC2):9C2320,1266
(C5×C22≀C2)⋊10C2 = C24.36D10φ: C2/C1 → C2 ⊆ Out C5×C22≀C280(C5xC2^2wrC2):10C2320,1267
(C5×C22≀C2)⋊11C2 = C5×C2≀C22φ: C2/C1 → C2 ⊆ Out C5×C22≀C2404(C5xC2^2wrC2):11C2320,958
(C5×C22≀C2)⋊12C2 = C5×C23⋊3D4φ: C2/C1 → C2 ⊆ Out C5×C22≀C280(C5xC2^2wrC2):12C2320,1536
(C5×C22≀C2)⋊13C2 = C5×C22.29C24φ: C2/C1 → C2 ⊆ Out C5×C22≀C280(C5xC2^2wrC2):13C2320,1537
(C5×C22≀C2)⋊14C2 = C5×C22.32C24φ: C2/C1 → C2 ⊆ Out C5×C22≀C280(C5xC2^2wrC2):14C2320,1540
(C5×C22≀C2)⋊15C2 = C5×D42φ: C2/C1 → C2 ⊆ Out C5×C22≀C280(C5xC2^2wrC2):15C2320,1547
(C5×C22≀C2)⋊16C2 = C5×D4⋊5D4φ: C2/C1 → C2 ⊆ Out C5×C22≀C280(C5xC2^2wrC2):16C2320,1548
(C5×C22≀C2)⋊17C2 = C5×C22.54C24φ: C2/C1 → C2 ⊆ Out C5×C22≀C280(C5xC2^2wrC2):17C2320,1562
(C5×C22≀C2)⋊18C2 = C5×C24⋊C22φ: C2/C1 → C2 ⊆ Out C5×C22≀C280(C5xC2^2wrC2):18C2320,1563
(C5×C22≀C2)⋊19C2 = C5×C22.19C24φ: trivial image80(C5xC2^2wrC2):19C2320,1527

Non-split extensions G=N.Q with N=C5×C22≀C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C22≀C2).1C2 = C24⋊2Dic5φ: C2/C1 → C2 ⊆ Out C5×C22≀C2404(C5xC2^2wrC2).1C2320,94
(C5×C22≀C2).2C2 = C24.32D10φ: C2/C1 → C2 ⊆ Out C5×C22≀C280(C5xC2^2wrC2).2C2320,1259
(C5×C22≀C2).3C2 = C5×C2≀C4φ: C2/C1 → C2 ⊆ Out C5×C22≀C2404(C5xC2^2wrC2).3C2320,156
(C5×C22≀C2).4C2 = C5×C22.45C24φ: C2/C1 → C2 ⊆ Out C5×C22≀C280(C5xC2^2wrC2).4C2320,1553

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