Extensions 1→N→G→Q→1 with N=C5 and Q=C5:C16

Direct product G=NxQ with N=C5 and Q=C5:C16
dρLabelID
C5xC5:C16804C5xC5:C16400,56

Semidirect products G=N:Q with N=C5 and Q=C5:C16
extensionφ:Q→Aut NdρLabelID
C5:1(C5:C16) = C52:4C16φ: C5:C16/C20C4 ⊆ Aut C5400C5:1(C5:C16)400,58
C5:2(C5:C16) = C52:5C16φ: C5:C16/C20C4 ⊆ Aut C5804C5:2(C5:C16)400,59
C5:3(C5:C16) = C52:3C16φ: C5:C16/C5:2C8C2 ⊆ Aut C5804C5:3(C5:C16)400,57

Non-split extensions G=N.Q with N=C5 and Q=C5:C16
extensionφ:Q→Aut NdρLabelID
C5.(C5:C16) = C25:C16φ: C5:C16/C20C4 ⊆ Aut C54004C5.(C5:C16)400,3

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