Extensions 1→N→G→Q→1 with N=C₃xC₁₅ and Q=D₅

Direct product G=NxQ with N=C₃xC₁₅ and Q=D₅

		d	ρ	Label	ID
D₅xC₃xC₁₅		90		D5xC3xC15	450,26

Semidirect products G=N:Q with N=C₃xC₁₅ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₁₅):₁D₅ = C₁₅:D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃xC₁₅	225		(C3xC15):1D5	450,33
(C₃xC₁₅):₂D₅ = C₃xC₅:D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃xC₁₅	150		(C3xC15):2D5	450,30
(C₃xC₁₅):₃D₅ = C₃²xC₅:D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃xC₁₅	225		(C3xC15):3D5	450,27
(C₃xC₁₅):₄D₅ = C₁₅xD₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃xC₁₅	30	2	(C3xC15):4D5	450,29
(C₃xC₁₅):₅D₅ = C₅xC₃:D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃xC₁₅	90		(C3xC15):5D5	450,32

Non-split extensions G=N.Q with N=C₃xC₁₅ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₁₅).₁D₅ = C₃:D₇₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃xC₁₅	225		(C3xC15).1D5	450,9
(C₃xC₁₅).₂D₅ = C₃xD₇₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃xC₁₅	150	2	(C3xC15).2D5	450,7
(C₃xC₁₅).₃D₅ = C₃²xD₂₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃xC₁₅	225		(C3xC15).3D5	450,5

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