Extensions 1→N→G→Q→1 with N=Q8 and Q=Dic14

Direct product G=N×Q with N=Q8 and Q=Dic14
dρLabelID
Q8×Dic14448Q8xDic14448,1019

Semidirect products G=N:Q with N=Q8 and Q=Dic14
extensionφ:Q→Out NdρLabelID
Q81Dic14 = Q8⋊Dic14φ: Dic14/Dic7C2 ⊆ Out Q8448Q8:1Dic14448,325
Q82Dic14 = Dic7.Q16φ: Dic14/Dic7C2 ⊆ Out Q8448Q8:2Dic14448,328
Q83Dic14 = C28.48SD16φ: Dic14/C28C2 ⊆ Out Q8448Q8:3Dic14448,554
Q84Dic14 = C28.23Q16φ: Dic14/C28C2 ⊆ Out Q8448Q8:4Dic14448,555
Q85Dic14 = Q85Dic14φ: trivial image448Q8:5Dic14448,1022
Q86Dic14 = Q86Dic14φ: trivial image448Q8:6Dic14448,1023

Non-split extensions G=N.Q with N=Q8 and Q=Dic14
extensionφ:Q→Out NdρLabelID
Q8.1Dic14 = Q8.Dic14φ: Dic14/Dic7C2 ⊆ Out Q8448Q8.1Dic14448,330
Q8.2Dic14 = Q8.2Dic14φ: Dic14/Dic7C2 ⊆ Out Q8448Q8.2Dic14448,333
Q8.3Dic14 = Q8.3Dic14φ: Dic14/C28C2 ⊆ Out Q8448Q8.3Dic14448,556

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