Extensions 1→N→G→Q→1 with N=C₂×S₄ and Q=C₆

Direct product G=N×Q with N=C₂×S₄ and Q=C₆

		d	ρ	Label	ID
C₂×C₆×S₄		36		C2xC6xS4	288,1033

Semidirect products G=N:Q with N=C₂×S₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₄)⋊₁C₆ = C₃×C₄⋊S₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×S₄	36	6	(C2xS4):1C6	288,898
(C₂×S₄)⋊₂C₆ = C₃×A₄⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×S₄	36	6	(C2xS4):2C6	288,906

Non-split extensions G=N.Q with N=C₂×S₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₄).C₆ = C₁₂×S₄	φ: trivial image	36	3	(C2xS4).C6	288,897

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2×S4 and Q=C6