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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₄)⋊₁A₄ = C₇×C₂²⋊A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₂×C₁₄	84		(C2xC14):1A4	336,223
(C₂×C₁₄)⋊₂A₄ = C₇⋊(C₂²⋊A₄)	φ: A₄/C₂² → C₃ ⊆ Aut C₂×C₁₄	84		(C2xC14):2A4	336,224
(C₂×C₁₄)⋊₃A₄ = C₂²×C₇⋊A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₂×C₁₄	84		(C2xC14):3A4	336,222

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₄).₁A₄ = C₇×C₄²⋊C₃	φ: A₄/C₂² → C₃ ⊆ Aut C₂×C₁₄	84	3	(C2xC14).1A4	336,56
(C₂×C₁₄).₂A₄ = C₄²⋊(C₇⋊C₃)	φ: A₄/C₂² → C₃ ⊆ Aut C₂×C₁₄	84	3	(C2xC14).2A4	336,57
(C₂×C₁₄).₃A₄ = C₂×C₁₄.A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₂×C₁₄	112		(C2xC14).3A4	336,172
(C₂×C₁₄).₄A₄ = C₁₄×SL₂(𝔽₃)	central extension (φ=1)	112		(C2xC14).4A4	336,169

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