Extensions 1→N→G→Q→1 with N=Q₈ and Q=S₄

Direct product G=N×Q with N=Q₈ and Q=S₄

		d	ρ	Label	ID
Q₈×S₄		24	6-	Q8xS4	192,1477

Semidirect products G=N:Q with N=Q₈ and Q=S₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁S₄ = Q₈⋊S₄	φ: S₄/C₂² → S₃ ⊆ Out Q₈	24	6	Q8:1S4	192,1490
Q₈⋊₂S₄ = Q₈⋊₂S₄	φ: S₄/C₂² → S₃ ⊆ Out Q₈	8	4+	Q8:2S4	192,1494
Q₈⋊₃S₄ = Q₈⋊₃S₄	φ: S₄/A₄ → C₂ ⊆ Out Q₈	24	6	Q8:3S4	192,976
Q₈⋊₄S₄ = Q₈⋊₄S₄	φ: trivial image	24	6	Q8:4S4	192,1478

Non-split extensions G=N.Q with N=Q₈ and Q=S₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁S₄ = Q₈.₁S₄	φ: S₄/C₂² → S₃ ⊆ Out Q₈	48	6-	Q8.1S4	192,1489
Q₈.₂S₄ = Q₈.S₄	φ: S₄/C₂² → S₃ ⊆ Out Q₈	16	4	Q8.2S4	192,1492
Q₈.₃S₄ = A₄⋊₂Q₁₆	φ: S₄/A₄ → C₂ ⊆ Out Q₈	48	6-	Q8.3S4	192,975
Q₈.₄S₄ = Q₈.₄S₄	φ: S₄/A₄ → C₂ ⊆ Out Q₈	48	4	Q8.4S4	192,987
Q₈.₅S₄ = Q₈.₅S₄	φ: S₄/A₄ → C₂ ⊆ Out Q₈	24	4+	Q8.5S4	192,988
Q₈.₆S₄ = Q₈.₆S₄	φ: trivial image	32	4	Q8.6S4	192,1483
Q₈.₇S₄ = Q₈.₇S₄	φ: trivial image	32	4+	Q8.7S4	192,1484

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