Extensions 1→N→G→Q→1 with N=C₂²×A₄ and Q=C₂

Direct product G=N×Q with N=C₂²×A₄ and Q=C₂

		d	ρ	Label	ID
C₂³×A₄		24		C2^3xA4	96,228

Semidirect products G=N:Q with N=C₂²×A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×A₄)⋊₁C₂ = D₄×A₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×A₄	12	6+	(C2^2xA4):1C2	96,197
(C₂²×A₄)⋊₂C₂ = A₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×A₄	12	6+	(C2^2xA4):2C2	96,195
(C₂²×A₄)⋊₃C₂ = C₂²×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×A₄	12		(C2^2xA4):3C2	96,226

Non-split extensions G=N.Q with N=C₂²×A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×A₄).C₂ = C₂×A₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×A₄	24		(C2^2xA4).C2	96,194
(C₂²×A₄).₂C₂ = C₂×C₄×A₄	φ: trivial image	24		(C2^2xA4).2C2	96,196

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22×A4 and Q=C2