Extensions 1→N→G→Q→1 with N=Q8 and Q=Dic10

Direct product G=N×Q with N=Q8 and Q=Dic10

Semidirect products G=N:Q with N=Q8 and Q=Dic10
extensionφ:Q→Out NdρLabelID
Q81Dic10 = Q8⋊Dic10φ: Dic10/Dic5C2 ⊆ Out Q8320Q8:1Dic10320,418
Q82Dic10 = Dic5.9Q16φ: Dic10/Dic5C2 ⊆ Out Q8320Q8:2Dic10320,421
Q83Dic10 = C20.48SD16φ: Dic10/C20C2 ⊆ Out Q8320Q8:3Dic10320,647
Q84Dic10 = C20.23Q16φ: Dic10/C20C2 ⊆ Out Q8320Q8:4Dic10320,648
Q85Dic10 = Q85Dic10φ: trivial image320Q8:5Dic10320,1241
Q86Dic10 = Q86Dic10φ: trivial image320Q8:6Dic10320,1242

Non-split extensions G=N.Q with N=Q8 and Q=Dic10
extensionφ:Q→Out NdρLabelID
Q8.1Dic10 = Q8.Dic10φ: Dic10/Dic5C2 ⊆ Out Q8320Q8.1Dic10320,423
Q8.2Dic10 = Q8.2Dic10φ: Dic10/Dic5C2 ⊆ Out Q8320Q8.2Dic10320,426
Q8.3Dic10 = Q8.3Dic10φ: Dic10/C20C2 ⊆ Out Q8320Q8.3Dic10320,649