Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₁₂

Direct product G=N×Q with N=Q₈ and Q=C₁₂

		d	ρ	Label	ID
Q₈×C₁₂		96		Q8xC12	96,166

Semidirect products G=N:Q with N=Q₈ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊C₁₂ = C₄×SL₂(𝔽₃)	φ: C₁₂/C₄ → C₃ ⊆ Out Q₈	32		Q8:C12	96,69
Q₈⋊₂C₁₂ = C₃×Q₈⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out Q₈	96		Q8:2C12	96,53
Q₈⋊₃C₁₂ = C₃×C₄≀C₂	φ: C₁₂/C₆ → C₂ ⊆ Out Q₈	24	2	Q8:3C12	96,54

Non-split extensions G=N.Q with N=Q₈ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.C₁₂ = C₈.A₄	φ: C₁₂/C₄ → C₃ ⊆ Out Q₈	32	2	Q8.C12	96,74
Q₈.₂C₁₂ = C₃×C₈○D₄	φ: trivial image	48	2	Q8.2C12	96,178

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Extensions 1→N→G→Q→1 with N=Q8 and Q=C12