Extensions 1→N→G→Q→1 with N=C₁₅ and Q=D₉

Direct product G=N×Q with N=C₁₅ and Q=D₉

		d	ρ	Label	ID
C₁₅×D₉		90	2	C15xD9	270,8

Semidirect products G=N:Q with N=C₁₅ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁D₉ = C₃⋊D₄₅	φ: D₉/C₉ → C₂ ⊆ Aut C₁₅	135		C15:1D9	270,18
C₁₅⋊₂D₉ = C₃×D₄₅	φ: D₉/C₉ → C₂ ⊆ Aut C₁₅	90	2	C15:2D9	270,12
C₁₅⋊₃D₉ = C₅×C₉⋊S₃	φ: D₉/C₉ → C₂ ⊆ Aut C₁₅	135		C15:3D9	270,16

Non-split extensions G=N.Q with N=C₁₅ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.₁D₉ = D₁₃₅	φ: D₉/C₉ → C₂ ⊆ Aut C₁₅	135	2+	C15.1D9	270,3
C₁₅.₂D₉ = C₅×D₂₇	φ: D₉/C₉ → C₂ ⊆ Aut C₁₅	135	2	C15.2D9	270,1

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Extensions 1→N→G→Q→1 with N=C15 and Q=D9