Extensions 1→N→G→Q→1 with N=Q₈×C₁₈ and Q=C₃

Direct product G=N×Q with N=Q₈×C₁₈ and Q=C₃

		d	ρ	Label	ID
Q₈×C₃×C₁₈		432		Q8xC3xC18	432,406

Semidirect products G=N:Q with N=Q₈×C₁₈ and Q=C₃

extension	φ:Q→Out N	d	Label	ID
(Q₈×C₁₈)⋊₁C₃ = C₁₈×SL₂(𝔽₃)	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₁₈	144	(Q8xC18):1C3	432,327
(Q₈×C₁₈)⋊₂C₃ = C₂×C₁₈.A₄	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₁₈	144	(Q8xC18):2C3	432,328
(Q₈×C₁₈)⋊₃C₃ = C₂×Q₈×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₁₈	144	(Q8xC18):3C3	432,408

Non-split extensions G=N.Q with N=Q₈×C₁₈ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₈).C₃ = C₂×Q₈⋊C₂₇	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₁₈	432		(Q8xC18).C3	432,41
(Q₈×C₁₈).₂C₃ = Q₈×C₅₄	φ: trivial image	432		(Q8xC18).2C3	432,55

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Extensions 1→N→G→Q→1 with N=Q8×C18 and Q=C3