Extensions 1→N→G→Q→1 with N=Q₈.A₄ and Q=C₂

Direct product G=N×Q with N=Q₈.A₄ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈.A₄		48		C2xQ8.A4	192,1502

Semidirect products G=N:Q with N=Q₈.A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.A₄⋊₁C₂ = Q₈.₅S₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.A₄	24	4+	Q8.A4:1C2	192,988
Q₈.A₄⋊₂C₂ = Q₈.₆S₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.A₄	32	4	Q8.A4:2C2	192,1483
Q₈.A₄⋊₃C₂ = Q₈.₇S₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.A₄	32	4+	Q8.A4:3C2	192,1484
Q₈.A₄⋊₄C₂ = Q₁₆.A₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.A₄	48	4+	Q8.A4:4C2	192,1017
Q₈.A₄⋊₅C₂ = SD₁₆.A₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.A₄	32	4	Q8.A4:5C2	192,1018
Q₈.A₄⋊₆C₂ = 2_-¹⁺⁴⋊₃C₆	φ: trivial image	32	4	Q8.A4:6C2	192,1504

Non-split extensions G=N.Q with N=Q₈.A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.A₄.C₂ = Q₈.₄S₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.A₄	48	4	Q8.A4.C2	192,987

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