Extensions 1→N→G→Q→1 with N=Q₈:3_-¹⁺² and Q=C₂

Direct product G=NxQ with N=Q₈:3_-¹⁺² and Q=C₂

		d	ρ	Label	ID
C₂xQ₈:3_-¹⁺²		144		C2xQ8:ES-(3,1)	432,335

Semidirect products G=N:Q with N=Q₈:3_-¹⁺² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:3_-¹⁺²:C₂ = C₃².GL₂(F₃)	φ: C₂/C₁ → C₂ ⊆ Out Q₈:3_-¹⁺²	72	12+	Q8:ES-(3,1):C2	432,245
Q₈:3_-¹⁺²:₂C₂ = Q₈:C₉:₄C₆	φ: trivial image	72	6	Q8:ES-(3,1):2C2	432,338

Non-split extensions G=N.Q with N=Q₈:3_-¹⁺² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:3_-¹⁺².C₂ = C₃².CSU₂(F₃)	φ: C₂/C₁ → C₂ ⊆ Out Q₈:3_-¹⁺²	144	12-	Q8:ES-(3,1).C2	432,243

Extensions 1→N→G→Q→1 with N=Q8:3- 1+2 and Q=C2