Extensions 1→N→G→Q→1 with N=Q₈xC₁₂ and Q=C₃

Direct product G=NxQ with N=Q₈xC₁₂ and Q=C₃

		d	ρ	Label	ID
Q₈xC₃xC₁₂		288		Q8xC3xC12	288,816

Semidirect products G=N:Q with N=Q₈xC₁₂ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₁₂):C₃ = C₁₂xSL₂(F₃)	φ: C₃/C₁ → C₃ ⊆ Out Q₈xC₁₂	96		(Q8xC12):C3	288,633

Non-split extensions G=N.Q with N=Q₈xC₁₂ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₁₂).C₃ = C₄xQ₈:C₉	φ: C₃/C₁ → C₃ ⊆ Out Q₈xC₁₂	288		(Q8xC12).C3	288,72
(Q₈xC₁₂).₂C₃ = Q₈xC₃₆	φ: trivial image	288		(Q8xC12).2C3	288,169

Extensions 1→N→G→Q→1 with N=Q8xC12 and Q=C3