Extensions 1→N→G→Q→1 with N=C₁₅ and Q=C₃xD₅

Direct product G=NxQ with N=C₁₅ and Q=C₃xD₅

		d	ρ	Label	ID
D₅xC₃xC₁₅		90		D5xC3xC15	450,26

Semidirect products G=N:Q with N=C₁₅ and Q=C₃xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅:₁(C₃xD₅) = C₃xC₅:D₁₅	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₁₅	150		C15:1(C3xD5)	450,30
C₁₅:₂(C₃xD₅) = C₃²xC₅:D₅	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₁₅	225		C15:2(C3xD5)	450,27
C₁₅:₃(C₃xD₅) = C₁₅xD₁₅	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₁₅	30	2	C15:3(C3xD5)	450,29

Non-split extensions G=N.Q with N=C₁₅ and Q=C₃xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.₁(C₃xD₅) = C₃xD₇₅	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₁₅	150	2	C15.1(C3xD5)	450,7
C₁₅.₂(C₃xD₅) = C₉xD₂₅	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₁₅	225	2	C15.2(C3xD5)	450,2
C₁₅.₃(C₃xD₅) = C₃²xD₂₅	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₁₅	225		C15.3(C3xD5)	450,5
C₁₅.₄(C₃xD₅) = C₉xC₅:D₅	φ: C₃xD₅/C₁₅ → C₂ ⊆ Aut C₁₅	225		C15.4(C3xD5)	450,15
C₁₅.₅(C₃xD₅) = D₅xC₄₅	central extension (φ=1)	90	2	C15.5(C3xD5)	450,14

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