Extensions 1→N→G→Q→1 with N=C₃³⋊Q₈ and Q=C₂

Direct product G=N×Q with N=C₃³⋊Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₃³⋊Q₈		48	8	C2xC3^3:Q8	432,758

Semidirect products G=N:Q with N=C₃³⋊Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊Q₈⋊₁C₂ = F₉⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊Q₈	24	16+	C3^3:Q8:1C2	432,740
C₃³⋊Q₈⋊₂C₂ = C₃³⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊Q₈	24	8	C3^3:Q8:2C2	432,738
C₃³⋊Q₈⋊₃C₂ = S₃×PSU₃(𝔽₂)	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊Q₈	24	16+	C3^3:Q8:3C2	432,742

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁