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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄)⋊C₁₄ = C₁₄×S₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×A₄	42	3	(C2xA4):C14	336,214

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄).C₁₄ = C₇×A₄⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×A₄	84	3	(C2xA4).C14	336,117
(C₂×A₄).₂C₁₄ = A₄×C₂₈	φ: trivial image	84	3	(C2xA4).2C14	336,168

⋊

ℤ

𝔽

○

≀

ℚ

◁

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