Extensions 1→N→G→Q→1 with N=C₇×Q₈ and Q=C₃

Direct product G=N×Q with N=C₇×Q₈ and Q=C₃

		d	ρ	Label	ID
Q₈×C₂₁		168	2	Q8xC21	168,41

Semidirect products G=N:Q with N=C₇×Q₈ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Q₈)⋊₁C₃ = C₇×SL₂(𝔽₃)	φ: C₃/C₁ → C₃ ⊆ Out C₇×Q₈	56	2	(C7xQ8):1C3	168,22
(C₇×Q₈)⋊₂C₃ = C₁₄.A₄	φ: C₃/C₁ → C₃ ⊆ Out C₇×Q₈	56	6	(C7xQ8):2C3	168,23
(C₇×Q₈)⋊₃C₃ = Q₈×C₇⋊C₃	φ: C₃/C₁ → C₃ ⊆ Out C₇×Q₈	56	6	(C7xQ8):3C3	168,21

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