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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁(C₃×D₅) = C₃×C₅⋊D₁₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₅	150		C15:1(C3xD5)	450,30
C₁₅⋊₂(C₃×D₅) = C₃²×C₅⋊D₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₅	225		C15:2(C3xD5)	450,27
C₁₅⋊₃(C₃×D₅) = C₁₅×D₁₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₅	30	2	C15:3(C3xD5)	450,29

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.₁(C₃×D₅) = C₃×D₇₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₅	150	2	C15.1(C3xD5)	450,7
C₁₅.₂(C₃×D₅) = C₉×D₂₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₅	225	2	C15.2(C3xD5)	450,2
C₁₅.₃(C₃×D₅) = C₃²×D₂₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₅	225		C15.3(C3xD5)	450,5
C₁₅.₄(C₃×D₅) = C₉×C₅⋊D₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₁₅	225		C15.4(C3xD5)	450,15
C₁₅.₅(C₃×D₅) = D₅×C₄₅	central extension (φ=1)	90	2	C15.5(C3xD5)	450,14

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