Extensions 1→N→G→Q→1 with N=D8 and Q=C10

Direct product G=N×Q with N=D8 and Q=C10
dρLabelID
C10×D880C10xD8160,193

Semidirect products G=N:Q with N=D8 and Q=C10
extensionφ:Q→Out NdρLabelID
D81C10 = C5×D16φ: C10/C5C2 ⊆ Out D8802D8:1C10160,61
D82C10 = C5×C8⋊C22φ: C10/C5C2 ⊆ Out D8404D8:2C10160,197
D83C10 = C5×C4○D8φ: trivial image802D8:3C10160,196

Non-split extensions G=N.Q with N=D8 and Q=C10
extensionφ:Q→Out NdρLabelID
D8.C10 = C5×SD32φ: C10/C5C2 ⊆ Out D8802D8.C10160,62

׿
×
𝔽