Extensions 1→N→G→Q→1 with N=A₄×C₁₄ and Q=C₂

Direct product G=N×Q with N=A₄×C₁₄ and Q=C₂

		d	ρ	Label	ID
A₄×C₂×C₁₄		84		A4xC2xC14	336,221

Semidirect products G=N:Q with N=A₄×C₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(A₄×C₁₄)⋊₁C₂ = C₂×C₇⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₁₄	42	6+	(A4xC14):1C2	336,215
(A₄×C₁₄)⋊₂C₂ = C₂×A₄×D₇	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₁₄	42	6+	(A4xC14):2C2	336,217
(A₄×C₁₄)⋊₃C₂ = C₁₄×S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₁₄	42	3	(A4xC14):3C2	336,214

Non-split extensions G=N.Q with N=A₄×C₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(A₄×C₁₄).₁C₂ = A₄⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₁₄	84	6-	(A4xC14).1C2	336,120
(A₄×C₁₄).₂C₂ = A₄×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₁₄	84	6-	(A4xC14).2C2	336,133
(A₄×C₁₄).₃C₂ = C₇×A₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₁₄	84	3	(A4xC14).3C2	336,117
(A₄×C₁₄).₄C₂ = A₄×C₂₈	φ: trivial image	84	3	(A4xC14).4C2	336,168

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