Extensions 1→N→G→Q→1 with N=C₂×C₃.S₄ and Q=C₂

Direct product G=N×Q with N=C₂×C₃.S₄ and Q=C₂

		d	ρ	Label	ID
C₂²×C₃.S₄		36		C2^2xC3.S4	288,835

Semidirect products G=N:Q with N=C₂×C₃.S₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃.S₄)⋊₁C₂ = C₂²⋊D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃.S₄	36	6+	(C2xC3.S4):1C2	288,334
(C₂×C₃.S₄)⋊₂C₂ = C₂³.D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃.S₄	36	6	(C2xC3.S4):2C2	288,342

Non-split extensions G=N.Q with N=C₂×C₃.S₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃.S₄).C₂ = C₄×C₃.S₄	φ: trivial image	36	6	(C2xC3.S4).C2	288,333

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2×C3.S4 and Q=C2