Extensions 1→N→G→Q→1 with N=C5 and Q=D5

Direct product G=NxQ with N=C5 and Q=D5
dρLabelID
C5xD5102C5xD550,3

Semidirect products G=N:Q with N=C5 and Q=D5
extensionφ:Q→Aut NdρLabelID
C5:D5 = C5:D5φ: D5/C5C2 ⊆ Aut C525C5:D550,4

Non-split extensions G=N.Q with N=C5 and Q=D5
extensionφ:Q→Aut NdρLabelID
C5.D5 = D25φ: D5/C5C2 ⊆ Aut C5252+C5.D550,1

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