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

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

		d	ρ	Label	ID
A₄×C₁₄		42	3	A4xC14	168,52

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊A₄ = C₂×C₇⋊A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₁₄	42	3	C14:A4	168,53

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.A₄ = C₁₄.A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₁₄	56	6	C14.A4	168,23
C₁₄.₂A₄ = C₇×SL₂(𝔽₃)	central extension (φ=1)	56	2	C14.2A4	168,22

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