Extensions 1→N→G→Q→1 with N=D₄×A₄ and Q=C₂

Direct product G=N×Q with N=D₄×A₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₄×A₄		24		C2xD4xA4	192,1497

Semidirect products G=N:Q with N=D₄×A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×A₄)⋊₁C₂ = D₄⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×A₄	24	6+	(D4xA4):1C2	192,974
(D₄×A₄)⋊₂C₂ = D₄×S₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×A₄	12	6+	(D4xA4):2C2	192,1472
(D₄×A₄)⋊₃C₂ = D₄⋊₂S₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×A₄	24	6	(D4xA4):3C2	192,1473
(D₄×A₄)⋊₄C₂ = A₄×D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×A₄	24	6+	(D4xA4):4C2	192,1014
(D₄×A₄)⋊₅C₂ = A₄×C₄○D₄	φ: trivial image	24	6	(D4xA4):5C2	192,1501

Non-split extensions G=N.Q with N=D₄×A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×A₄).₁C₂ = A₄⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×A₄	24	6	(D4xA4).1C2	192,973
(D₄×A₄).₂C₂ = A₄×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×A₄	24	6	(D4xA4).2C2	192,1015

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