Extensions 1→N→G→Q→1 with N=C₁₄ and Q=S₄

Direct product G=N×Q with N=C₁₄ and Q=S₄

		d	ρ	Label	ID
C₁₄×S₄		42	3	C14xS4	336,214

Semidirect products G=N:Q with N=C₁₄ and Q=S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊S₄ = C₂×C₇⋊S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₁₄	42	6+	C14:S4	336,215

Non-split extensions G=N.Q with N=C₁₄ and Q=S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁S₄ = Q₈.D₂₁	φ: S₄/A₄ → C₂ ⊆ Aut C₁₄	112	4-	C14.1S4	336,118
C₁₄.₂S₄ = Q₈⋊D₂₁	φ: S₄/A₄ → C₂ ⊆ Aut C₁₄	56	4+	C14.2S4	336,119
C₁₄.₃S₄ = A₄⋊Dic₇	φ: S₄/A₄ → C₂ ⊆ Aut C₁₄	84	6-	C14.3S4	336,120
C₁₄.₄S₄ = C₇×CSU₂(𝔽₃)	central extension (φ=1)	112	2	C14.4S4	336,115
C₁₄.₅S₄ = C₇×GL₂(𝔽₃)	central extension (φ=1)	56	2	C14.5S4	336,116
C₁₄.₆S₄ = C₇×A₄⋊C₄	central extension (φ=1)	84	3	C14.6S4	336,117

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