Extensions 1→N→G→Q→1 with N=D4 and Q=C58

Direct product G=NxQ with N=D4 and Q=C58
dρLabelID
D4xC58232D4xC58464,46

Semidirect products G=N:Q with N=D4 and Q=C58
extensionφ:Q→Out NdρLabelID
D4:C58 = D8xC29φ: C58/C29C2 ⊆ Out D42322D4:C58464,25
D4:2C58 = C4oD4xC29φ: trivial image2322D4:2C58464,48

Non-split extensions G=N.Q with N=D4 and Q=C58
extensionφ:Q→Out NdρLabelID
D4.C58 = SD16xC29φ: C58/C29C2 ⊆ Out D42322D4.C58464,26

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