Extensions 1→N→G→Q→1 with N=S₃×C₃² and Q=Q₈

Direct product G=N×Q with N=S₃×C₃² and Q=Q₈

		d	ρ	Label	ID
S₃×Q₈×C₃²		144		S3xQ8xC3^2	432,706

Semidirect products G=N:Q with N=S₃×C₃² and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃²)⋊Q₈ = S₃×PSU₃(𝔽₂)	φ: Q₈/C₁ → Q₈ ⊆ Out S₃×C₃²	24	16+	(S3xC3^2):Q8	432,742
(S₃×C₃²)⋊₂Q₈ = S₃×C₃²⋊₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Out S₃×C₃²	48	8-	(S3xC3^2):2Q8	432,603
(S₃×C₃²)⋊₃Q₈ = C₃×S₃×Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out S₃×C₃²	48	4	(S3xC3^2):3Q8	432,642
(S₃×C₃²)⋊₄Q₈ = S₃×C₃²⋊₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Out S₃×C₃²	144		(S3xC3^2):4Q8	432,660

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