Extensions 1→N→G→Q→1 with N=C5 and Q=C5xD7

Direct product G=NxQ with N=C5 and Q=C5xD7
dρLabelID
D7xC52175D7xC5^2350,5

Semidirect products G=N:Q with N=C5 and Q=C5xD7
extensionφ:Q→Aut NdρLabelID
C5:(C5xD7) = C5xD35φ: C5xD7/C35C2 ⊆ Aut C5702C5:(C5xD7)350,7

Non-split extensions G=N.Q with N=C5 and Q=C5xD7
extensionφ:Q→Aut NdρLabelID
C5.(C5xD7) = D7xC25central extension (φ=1)1752C5.(C5xD7)350,2

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