Extensions 1→N→G→Q→1 with N=Q₈×C₃⋊S₃ and Q=C₃

Direct product G=N×Q with N=Q₈×C₃⋊S₃ and Q=C₃

		d	ρ	Label	ID
C₃×Q₈×C₃⋊S₃		144		C3xQ8xC3:S3	432,716

Semidirect products G=N:Q with N=Q₈×C₃⋊S₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₃⋊S₃)⋊₁C₃ = Q₈⋊He₃⋊C₂	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₃⋊S₃	72	12-	(Q8xC3:S3):1C3	432,270
(Q₈×C₃⋊S₃)⋊₂C₃ = Q₈×C₃²⋊C₆	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₃⋊S₃	72	12-	(Q8xC3:S3):2C3	432,368
(Q₈×C₃⋊S₃)⋊₃C₃ = C₃⋊S₃×SL₂(𝔽₃)	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₃⋊S₃	72		(Q8xC3:S3):3C3	432,626

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