Extensions 1→N→G→Q→1 with N=Q8 and Q=C50

Direct product G=NxQ with N=Q8 and Q=C50
dρLabelID
Q8xC50400Q8xC50400,47

Semidirect products G=N:Q with N=Q8 and Q=C50
extensionφ:Q→Out NdρLabelID
Q8:C50 = SD16xC25φ: C50/C25C2 ⊆ Out Q82002Q8:C50400,26
Q8:2C50 = C4oD4xC25φ: trivial image2002Q8:2C50400,48

Non-split extensions G=N.Q with N=Q8 and Q=C50
extensionφ:Q→Out NdρLabelID
Q8.C50 = Q16xC25φ: C50/C25C2 ⊆ Out Q84002Q8.C50400,27

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