Extensions 1→N→G→Q→1 with N=D4 and Q=C2×C10

Direct product G=N×Q with N=D4 and Q=C2×C10

Semidirect products G=N:Q with N=D4 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
D41(C2×C10) = C10×D8φ: C2×C10/C10C2 ⊆ Out D480D4:1(C2xC10)160,193
D42(C2×C10) = C5×C8⋊C22φ: C2×C10/C10C2 ⊆ Out D4404D4:2(C2xC10)160,197
D43(C2×C10) = C10×C4○D4φ: trivial image80D4:3(C2xC10)160,231
D44(C2×C10) = C5×2+ 1+4φ: trivial image404D4:4(C2xC10)160,232

Non-split extensions G=N.Q with N=D4 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
D4.1(C2×C10) = C10×SD16φ: C2×C10/C10C2 ⊆ Out D480D4.1(C2xC10)160,194
D4.2(C2×C10) = C5×C4○D8φ: C2×C10/C10C2 ⊆ Out D4802D4.2(C2xC10)160,196
D4.3(C2×C10) = C5×C8.C22φ: C2×C10/C10C2 ⊆ Out D4804D4.3(C2xC10)160,198
D4.4(C2×C10) = C5×2- 1+4φ: trivial image804D4.4(C2xC10)160,233