Extensions 1→N→G→Q→1 with N=Q₈xC₁₈ and Q=C₃

Direct product G=NxQ with N=Q₈xC₁₈ and Q=C₃

		d	ρ	Label	ID
Q₈xC₃xC₁₈		432		Q8xC3xC18	432,406

Semidirect products G=N:Q with N=Q₈xC₁₈ and Q=C₃

extension	φ:Q→Out N	d	Label	ID
(Q₈xC₁₈):₁C₃ = C₁₈xSL₂(F₃)	φ: C₃/C₁ → C₃ ⊆ Out Q₈xC₁₈	144	(Q8xC18):1C3	432,327
(Q₈xC₁₈):₂C₃ = C₂xC₁₈.A₄	φ: C₃/C₁ → C₃ ⊆ Out Q₈xC₁₈	144	(Q8xC18):2C3	432,328
(Q₈xC₁₈):₃C₃ = C₂xQ₈x3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out Q₈xC₁₈	144	(Q8xC18):3C3	432,408

Non-split extensions G=N.Q with N=Q₈xC₁₈ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₁₈).C₃ = C₂xQ₈:C₂₇	φ: C₃/C₁ → C₃ ⊆ Out Q₈xC₁₈	432		(Q8xC18).C3	432,41
(Q₈xC₁₈).₂C₃ = Q₈xC₅₄	φ: trivial image	432		(Q8xC18).2C3	432,55

Extensions 1→N→G→Q→1 with N=Q8xC18 and Q=C3