Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₃²:C₄

Direct product G=NxQ with N=Q₈ and Q=C₃²:C₄

		d	ρ	Label	ID
Q₈xC₃²:C₄		48	8-	Q8xC3^2:C4	288,938

Semidirect products G=N:Q with N=Q₈ and Q=C₃²:C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:₁(C₃²:C₄) = C₃:S₃.₅Q₁₆	φ: C₃²:C₄/C₃:S₃ → C₂ ⊆ Out Q₈	48	8-	Q8:1(C3^2:C4)	288,432
Q₈:₂(C₃²:C₄) = C₃²:₇C₄wrC₂	φ: C₃²:C₄/C₃:S₃ → C₂ ⊆ Out Q₈	48	8+	Q8:2(C3^2:C4)	288,433

Non-split extensions G=N.Q with N=Q₈ and Q=C₃²:C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₃²:C₄) = C₁₂:S₃.C₄	φ: trivial image	48	8+	Q8.(C3^2:C4)	288,937

Extensions 1→N→G→Q→1 with N=Q8 and Q=C32:C4