Extensions 1→N→G→Q→1 with N=Q₈×D₇ and Q=C₃

Direct product G=N×Q with N=Q₈×D₇ and Q=C₃

		d	ρ	Label	ID
C₃×Q₈×D₇		168	4	C3xQ8xD7	336,180

Semidirect products G=N:Q with N=Q₈×D₇ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×D₇)⋊₁C₃ = D₇×SL₂(𝔽₃)	φ: C₃/C₁ → C₃ ⊆ Out Q₈×D₇	56	4-	(Q8xD7):1C3	336,132
(Q₈×D₇)⋊₂C₃ = Q₈⋊F₇	φ: C₃/C₁ → C₃ ⊆ Out Q₈×D₇	56	12-	(Q8xD7):2C3	336,135
(Q₈×D₇)⋊₃C₃ = Q₈×F₇	φ: C₃/C₁ → C₃ ⊆ Out Q₈×D₇	56	12-	(Q8xD7):3C3	336,127

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