Extensions 1→N→G→Q→1 with N=C₉ and Q=C₃×D₅

Direct product G=N×Q with N=C₉ and Q=C₃×D₅

		d	ρ	Label	ID
D₅×C₃×C₉		135		D5xC3xC9	270,5

Semidirect products G=N:Q with N=C₉ and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊(C₃×D₅) = D₄₅⋊C₃	φ: C₃×D₅/C₅ → C₆ ⊆ Aut C₉	45	6+	C9:(C3xD5)	270,15
C₉⋊₂(C₃×D₅) = D₅×3_-¹⁺²	φ: C₃×D₅/D₅ → C₃ ⊆ Aut C₉	45	6	C9:2(C3xD5)	270,7
C₉⋊₃(C₃×D₅) = C₃×D₄₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₉	90	2	C9:3(C3xD5)	270,12

Non-split extensions G=N.Q with N=C₉ and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₃×D₅) = D₅×C₂₇	central extension (φ=1)	135	2	C9.(C3xD5)	270,2

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Extensions 1→N→G→Q→1 with N=C9 and Q=C3×D5