Extensions 1→N→G→Q→1 with N=Q8 and Q=C58

Direct product G=NxQ with N=Q8 and Q=C58
dρLabelID
Q8xC58464Q8xC58464,47

Semidirect products G=N:Q with N=Q8 and Q=C58
extensionφ:Q→Out NdρLabelID
Q8:C58 = SD16xC29φ: C58/C29C2 ⊆ Out Q82322Q8:C58464,26
Q8:2C58 = C4oD4xC29φ: trivial image2322Q8:2C58464,48

Non-split extensions G=N.Q with N=Q8 and Q=C58
extensionφ:Q→Out NdρLabelID
Q8.C58 = Q16xC29φ: C58/C29C2 ⊆ Out Q84642Q8.C58464,27

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