Extensions 1→N→G→Q→1 with N=C₄×A₄ and Q=C₂

Direct product G=N×Q with N=C₄×A₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×A₄		24		C2xC4xA4	96,196

Semidirect products G=N:Q with N=C₄×A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×A₄)⋊₁C₂ = C₄⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×A₄	12	6+	(C4xA4):1C2	96,187
(C₄×A₄)⋊₂C₂ = C₄×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×A₄	12	3	(C4xA4):2C2	96,186
(C₄×A₄)⋊₃C₂ = D₄×A₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×A₄	12	6+	(C4xA4):3C2	96,197

Non-split extensions G=N.Q with N=C₄×A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×A₄).₁C₂ = A₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×A₄	24	6-	(C4xA4).1C2	96,185
(C₄×A₄).₂C₂ = A₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×A₄	24	3	(C4xA4).2C2	96,65
(C₄×A₄).₃C₂ = Q₈×A₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×A₄	24	6-	(C4xA4).3C2	96,199
(C₄×A₄).₄C₂ = C₈×A₄	φ: trivial image	24	3	(C4xA4).4C2	96,73

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