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

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

		d	ρ	Label	ID
C₇×Q₈²		448		C7xQ8^2	448,1341

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Q₈)⋊₁Q₈ = Q₈⋊Dic₁₄	φ: Q₈/C₂ → C₂² ⊆ Out C₇×Q₈	448		(C7xQ8):1Q8	448,325
(C₇×Q₈)⋊₂Q₈ = Dic₇.Q₁₆	φ: Q₈/C₂ → C₂² ⊆ Out C₇×Q₈	448		(C7xQ8):2Q8	448,328
(C₇×Q₈)⋊₃Q₈ = C₂₈.₄₈SD₁₆	φ: Q₈/C₄ → C₂ ⊆ Out C₇×Q₈	448		(C7xQ8):3Q8	448,554
(C₇×Q₈)⋊₄Q₈ = C₂₈.₂₃Q₁₆	φ: Q₈/C₄ → C₂ ⊆ Out C₇×Q₈	448		(C7xQ8):4Q8	448,555
(C₇×Q₈)⋊₅Q₈ = Q₈×Dic₁₄	φ: Q₈/C₄ → C₂ ⊆ Out C₇×Q₈	448		(C7xQ8):5Q8	448,1019
(C₇×Q₈)⋊₆Q₈ = Q₈⋊₅Dic₁₄	φ: Q₈/C₄ → C₂ ⊆ Out C₇×Q₈	448		(C7xQ8):6Q8	448,1022
(C₇×Q₈)⋊₇Q₈ = Q₈⋊₆Dic₁₄	φ: Q₈/C₄ → C₂ ⊆ Out C₇×Q₈	448		(C7xQ8):7Q8	448,1023
(C₇×Q₈)⋊₈Q₈ = C₇×Q₈⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₇×Q₈	448		(C7xQ8):8Q8	448,883
(C₇×Q₈)⋊₉Q₈ = C₇×C₄.Q₁₆	φ: Q₈/C₄ → C₂ ⊆ Out C₇×Q₈	448		(C7xQ8):9Q8	448,885
(C₇×Q₈)⋊₁₀Q₈ = C₇×Q₈⋊₃Q₈	φ: trivial image	448		(C7xQ8):10Q8	448,1340

Non-split extensions G=N.Q with N=C₇×Q₈ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Q₈).₁Q₈ = Q₈.Dic₁₄	φ: Q₈/C₂ → C₂² ⊆ Out C₇×Q₈	448		(C7xQ8).1Q8	448,330
(C₇×Q₈).₂Q₈ = Q₈.₂Dic₁₄	φ: Q₈/C₂ → C₂² ⊆ Out C₇×Q₈	448		(C7xQ8).2Q8	448,333
(C₇×Q₈).₃Q₈ = Q₈.₃Dic₁₄	φ: Q₈/C₄ → C₂ ⊆ Out C₇×Q₈	448		(C7xQ8).3Q8	448,556
(C₇×Q₈).₄Q₈ = C₇×Q₈.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₇×Q₈	448		(C7xQ8).4Q8	448,887

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