Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₃xA₄

Direct product G=NxQ with N=Q₈ and Q=C₃xA₄

		d	ρ	Label	ID
C₃xQ₈xA₄		72	6	C3xQ8xA4	288,982

Semidirect products G=N:Q with N=Q₈ and Q=C₃xA₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:₁(C₃xA₄) = A₄xSL₂(F₃)	φ: C₃xA₄/A₄ → C₃ ⊆ Out Q₈	24	6-	Q8:1(C3xA4)	288,859
Q₈:₂(C₃xA₄) = C₃xQ₈:A₄	φ: C₃xA₄/C₂xC₆ → C₃ ⊆ Out Q₈	72	6	Q8:2(C3xA4)	288,986
Q₈:₃(C₃xA₄) = C₃xC₂³:A₄	φ: C₃xA₄/C₂xC₆ → C₃ ⊆ Out Q₈	24	4	Q8:3(C3xA4)	288,987

Non-split extensions G=N.Q with N=Q₈ and Q=C₃xA₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₃xA₄) = Ω₄⁺ (F₃)	φ: C₃xA₄/A₄ → C₃ ⊆ Out Q₈	24	4+	Q8.(C3xA4)	288,860
Q₈.₂(C₃xA₄) = C₃xQ₈.A₄	φ: trivial image	72	4	Q8.2(C3xA4)	288,984

Extensions 1→N→G→Q→1 with N=Q8 and Q=C3xA4