Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₂₄

Direct product G=N×Q with N=Q₈ and Q=C₂₄

		d	ρ	Label	ID
Q₈×C₂₄		192		Q8xC24	192,878

Semidirect products G=N:Q with N=Q₈ and Q=C₂₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊C₂₄ = C₈×SL₂(𝔽₃)	φ: C₂₄/C₈ → C₃ ⊆ Out Q₈	64		Q8:C24	192,200
Q₈⋊₂C₂₄ = C₃×Q₈⋊C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Out Q₈	192		Q8:2C24	192,132

Non-split extensions G=N.Q with N=Q₈ and Q=C₂₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.C₂₄ = C₁₆.A₄	φ: C₂₄/C₈ → C₃ ⊆ Out Q₈	64	2	Q8.C24	192,204
Q₈.₂C₂₄ = C₃×D₄.C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Out Q₈	96	2	Q8.2C24	192,156
Q₈.₃C₂₄ = C₃×D₄○C₁₆	φ: trivial image	96	2	Q8.3C24	192,937

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Extensions 1→N→G→Q→1 with N=Q8 and Q=C24