Extensions 1→N→G→Q→1 with N=Q16 and Q=C10

Direct product G=N×Q with N=Q16 and Q=C10
dρLabelID
C10×Q16160C10xQ16160,195

Semidirect products G=N:Q with N=Q16 and Q=C10
extensionφ:Q→Out NdρLabelID
Q161C10 = C5×SD32φ: C10/C5C2 ⊆ Out Q16802Q16:1C10160,62
Q162C10 = C5×C8.C22φ: C10/C5C2 ⊆ Out Q16804Q16:2C10160,198
Q163C10 = C5×C4○D8φ: trivial image802Q16:3C10160,196

Non-split extensions G=N.Q with N=Q16 and Q=C10
extensionφ:Q→Out NdρLabelID
Q16.C10 = C5×Q32φ: C10/C5C2 ⊆ Out Q161602Q16.C10160,63

׿
×
𝔽