Extensions 1→N→G→Q→1 with N=C₃×C₁₅ and Q=D₅

Direct product G=N×Q with N=C₃×C₁₅ and Q=D₅

		d	ρ	Label	ID
D₅×C₃×C₁₅		90		D5xC3xC15	450,26

Semidirect products G=N:Q with N=C₃×C₁₅ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₅)⋊₁D₅ = C₁₅⋊D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₁₅	225		(C3xC15):1D5	450,33
(C₃×C₁₅)⋊₂D₅ = C₃×C₅⋊D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₁₅	150		(C3xC15):2D5	450,30
(C₃×C₁₅)⋊₃D₅ = C₃²×C₅⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₁₅	225		(C3xC15):3D5	450,27
(C₃×C₁₅)⋊₄D₅ = C₁₅×D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₁₅	30	2	(C3xC15):4D5	450,29
(C₃×C₁₅)⋊₅D₅ = C₅×C₃⋊D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₁₅	90		(C3xC15):5D5	450,32

Non-split extensions G=N.Q with N=C₃×C₁₅ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₅).₁D₅ = C₃⋊D₇₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₁₅	225		(C3xC15).1D5	450,9
(C₃×C₁₅).₂D₅ = C₃×D₇₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₁₅	150	2	(C3xC15).2D5	450,7
(C₃×C₁₅).₃D₅ = C₃²×D₂₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₁₅	225		(C3xC15).3D5	450,5

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