Extensions 1→N→G→Q→1 with N=C55 and Q=C5

Direct product G=NxQ with N=C55 and Q=C5
dρLabelID
C5xC55275C5xC55275,4

Semidirect products G=N:Q with N=C55 and Q=C5
extensionφ:Q→Aut NdρLabelID
C55:C5 = C5xC11:C5φ: C5/C1C5 ⊆ Aut C55555C55:C5275,3

Non-split extensions G=N.Q with N=C55 and Q=C5
extensionφ:Q→Aut NdρLabelID
C55.C5 = C11:C25φ: C5/C1C5 ⊆ Aut C552755C55.C5275,1

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