Extensions 1→N→G→Q→1 with N=C₂×A₄ and Q=C₁₂

Direct product G=N×Q with N=C₂×A₄ and Q=C₁₂

		d	ρ	Label	ID
A₄×C₂×C₁₂		72		A4xC2xC12	288,979

Semidirect products G=N:Q with N=C₂×A₄ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄)⋊C₁₂ = C₆×A₄⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×A₄	72		(C2xA4):C12	288,905

Non-split extensions G=N.Q with N=C₂×A₄ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄).C₁₂ = C₃×A₄⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×A₄	72	3	(C2xA4).C12	288,398
(C₂×A₄).₂C₁₂ = A₄×C₂₄	φ: trivial image	72	3	(C2xA4).2C12	288,637

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2×A4 and Q=C12