Extensions 1→N→G→Q→1 with N=C₁₅ and Q=S₄

Direct product G=N×Q with N=C₁₅ and Q=S₄

		d	ρ	Label	ID
C₁₅×S₄		60	3	C15xS4	360,138

Semidirect products G=N:Q with N=C₁₅ and Q=S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁S₄ = A₄⋊D₁₅	φ: S₄/A₄ → C₂ ⊆ Aut C₁₅	60	6+	C15:1S4	360,141
C₁₅⋊₂S₄ = C₃×C₅⋊S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₁₅	60	6	C15:2S4	360,139
C₁₅⋊₃S₄ = C₅×C₃⋊S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₁₅	60	6	C15:3S4	360,140

Non-split extensions G=N.Q with N=C₁₅ and Q=S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.₁S₄ = C₂²⋊D₄₅	φ: S₄/A₄ → C₂ ⊆ Aut C₁₅	90	6+	C15.1S4	360,41
C₁₅.₂S₄ = C₅×C₃.S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₁₅	90	6	C15.2S4	360,40

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Extensions 1→N→G→Q→1 with N=C15 and Q=S4