Extensions 1→N→G→Q→1 with N=Q₈×C₁₂ and Q=C₃

Direct product G=N×Q with N=Q₈×C₁₂ and Q=C₃

		d	ρ	Label	ID
Q₈×C₃×C₁₂		288		Q8xC3xC12	288,816

Semidirect products G=N:Q with N=Q₈×C₁₂ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₂)⋊C₃ = C₁₂×SL₂(𝔽₃)	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₁₂	96		(Q8xC12):C3	288,633

Non-split extensions G=N.Q with N=Q₈×C₁₂ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₂).C₃ = C₄×Q₈⋊C₉	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₁₂	288		(Q8xC12).C3	288,72
(Q₈×C₁₂).₂C₃ = Q₈×C₃₆	φ: trivial image	288		(Q8xC12).2C3	288,169

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Extensions 1→N→G→Q→1 with N=Q8×C12 and Q=C3