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

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

		d	ρ	Label	ID
C₂×Q₈×3_-¹⁺²		144		C2xQ8xES-(3,1)	432,408

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁(C₂×3_-¹⁺²) = C₂×C₁₈.A₄	φ: C₂×3_-¹⁺²/C₁₈ → C₃ ⊆ Out Q₈	144		Q8:1(C2xES-(3,1))	432,328
Q₈⋊₂(C₂×3_-¹⁺²) = C₂×Q₈⋊3_-¹⁺²	φ: C₂×3_-¹⁺²/C₃×C₆ → C₃ ⊆ Out Q₈	144		Q8:2(C2xES-(3,1))	432,335
Q₈⋊₃(C₂×3_-¹⁺²) = SD₁₆×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Out Q₈	72	6	Q8:3(C2xES-(3,1))	432,220
Q₈⋊₄(C₂×3_-¹⁺²) = C₄○D₄×3_-¹⁺²	φ: trivial image	72	6	Q8:4(C2xES-(3,1))	432,411

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(C₂×3_-¹⁺²) = C₃₆.A₄	φ: C₂×3_-¹⁺²/C₁₈ → C₃ ⊆ Out Q₈	144	6	Q8.1(C2xES-(3,1))	432,330
Q₈.₂(C₂×3_-¹⁺²) = Q₈⋊C₉⋊₄C₆	φ: C₂×3_-¹⁺²/C₃×C₆ → C₃ ⊆ Out Q₈	72	6	Q8.2(C2xES-(3,1))	432,338
Q₈.₃(C₂×3_-¹⁺²) = Q₁₆×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Out Q₈	144	6	Q8.3(C2xES-(3,1))	432,223

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