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

Direct product G=NxQ with N=Q8 and Q=Dic10
dρLabelID
Q8xDic10320Q8xDic10320,1238

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

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