Extensions 1→N→G→Q→1 with N=Q8 and Q=Dic13

Direct product G=N×Q with N=Q8 and Q=Dic13
dρLabelID
Q8×Dic13416Q8xDic13416,166

Semidirect products G=N:Q with N=Q8 and Q=Dic13
extensionφ:Q→Out NdρLabelID
Q81Dic13 = Q8⋊Dic13φ: Dic13/C26C2 ⊆ Out Q8416Q8:1Dic13416,42
Q82Dic13 = C52.56D4φ: Dic13/C26C2 ⊆ Out Q81044Q8:2Dic13416,44

Non-split extensions G=N.Q with N=Q8 and Q=Dic13
extensionφ:Q→Out NdρLabelID
Q8.Dic13 = D4.Dic13φ: trivial image2084Q8.Dic13416,169

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