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

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

		d	ρ	Label	ID
S₃×C₁₅		30	2	S3xC15	90,6

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁S₃ = C₃⋊D₁₅	φ: S₃/C₃ → C₂ ⊆ Aut C₁₅	45		C15:1S3	90,9
C₁₅⋊₂S₃ = C₃×D₁₅	φ: S₃/C₃ → C₂ ⊆ Aut C₁₅	30	2	C15:2S3	90,7
C₁₅⋊₃S₃ = C₅×C₃⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₁₅	45		C15:3S3	90,8

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.₁S₃ = D₄₅	φ: S₃/C₃ → C₂ ⊆ Aut C₁₅	45	2+	C15.1S3	90,3
C₁₅.₂S₃ = C₅×D₉	φ: S₃/C₃ → C₂ ⊆ Aut C₁₅	45	2	C15.2S3	90,1

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