Extensions 1→N→G→Q→1 with N=C₅ and Q=C₅×D₉

Direct product G=N×Q with N=C₅ and Q=C₅×D₉

		d	ρ	Label	ID
D₉×C₅²		225		D9xC5^2	450,16

Semidirect products G=N:Q with N=C₅ and Q=C₅×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₅×D₉) = C₅×D₄₅	φ: C₅×D₉/C₄₅ → C₂ ⊆ Aut C₅	90	2	C5:(C5xD9)	450,17

Non-split extensions G=N.Q with N=C₅ and Q=C₅×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₅×D₉) = D₉×C₂₅	central extension (φ=1)	225	2	C5.(C5xD9)	450,1

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Extensions 1→N→G→Q→1 with N=C5 and Q=C5×D9