Extensions 1→N→G→Q→1 with N=Q8 and Q=C2×C10

Direct product G=N×Q with N=Q8 and Q=C2×C10

Semidirect products G=N:Q with N=Q8 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
Q81(C2×C10) = C10×SD16φ: C2×C10/C10C2 ⊆ Out Q880Q8:1(C2xC10)160,194
Q82(C2×C10) = C5×C8⋊C22φ: C2×C10/C10C2 ⊆ Out Q8404Q8:2(C2xC10)160,197
Q83(C2×C10) = C10×C4○D4φ: trivial image80Q8:3(C2xC10)160,231
Q84(C2×C10) = C5×2+ 1+4φ: trivial image404Q8:4(C2xC10)160,232

Non-split extensions G=N.Q with N=Q8 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
Q8.1(C2×C10) = C10×Q16φ: C2×C10/C10C2 ⊆ Out Q8160Q8.1(C2xC10)160,195
Q8.2(C2×C10) = C5×C4○D8φ: C2×C10/C10C2 ⊆ Out Q8802Q8.2(C2xC10)160,196
Q8.3(C2×C10) = C5×C8.C22φ: C2×C10/C10C2 ⊆ Out Q8804Q8.3(C2xC10)160,198
Q8.4(C2×C10) = C5×2- 1+4φ: trivial image804Q8.4(C2xC10)160,233