Extensions 1→N→G→Q→1 with N=C₁₅ and Q=C₅×S₃

Direct product G=N×Q with N=C₁₅ and Q=C₅×S₃

		d	ρ	Label	ID
S₃×C₅×C₁₅		150		S3xC5xC15	450,28

Semidirect products G=N:Q with N=C₁₅ and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁(C₅×S₃) = C₅×C₃⋊D₁₅	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₅	90		C15:1(C5xS3)	450,32
C₁₅⋊₂(C₅×S₃) = C₁₅×D₁₅	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₅	30	2	C15:2(C5xS3)	450,29
C₁₅⋊₃(C₅×S₃) = C₃⋊S₃×C₅²	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₅	225		C15:3(C5xS3)	450,31

Non-split extensions G=N.Q with N=C₁₅ and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.₁(C₅×S₃) = C₅×D₄₅	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₅	90	2	C15.1(C5xS3)	450,17
C₁₅.₂(C₅×S₃) = D₉×C₂₅	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₅	225	2	C15.2(C5xS3)	450,1
C₁₅.₃(C₅×S₃) = C₃⋊S₃×C₂₅	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₅	225		C15.3(C5xS3)	450,8
C₁₅.₄(C₅×S₃) = D₉×C₅²	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₅	225		C15.4(C5xS3)	450,16
C₁₅.₅(C₅×S₃) = S₃×C₇₅	central extension (φ=1)	150	2	C15.5(C5xS3)	450,6

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