Extensions 1→N→G→Q→1 with N=C5 and Q=F5

Direct product G=NxQ with N=C5 and Q=F5
dρLabelID
C5xF5204C5xF5100,9

Semidirect products G=N:Q with N=C5 and Q=F5
extensionφ:Q→Aut NdρLabelID
C5:1F5 = C5:F5φ: F5/C5C4 ⊆ Aut C525C5:1F5100,11
C5:2F5 = C52:C4φ: F5/C5C4 ⊆ Aut C5104+C5:2F5100,12
C5:3F5 = D5.D5φ: F5/D5C2 ⊆ Aut C5204C5:3F5100,10

Non-split extensions G=N.Q with N=C5 and Q=F5
extensionφ:Q→Aut NdρLabelID
C5.F5 = C25:C4φ: F5/C5C4 ⊆ Aut C5254+C5.F5100,3

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