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

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

		d	ρ	Label	ID
C₂×Q₈⋊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

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