Extensions 1→N→G→Q→1 with N=C₇×D₄ and Q=Q₈

Direct product G=N×Q with N=C₇×D₄ and Q=Q₈

		d	ρ	Label	ID
C₇×D₄×Q₈		224		C7xD4xQ8	448,1332

Semidirect products G=N:Q with N=C₇×D₄ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₄)⋊₁Q₈ = Dic₇.D₈	φ: Q₈/C₂ → C₂² ⊆ Out C₇×D₄	224		(C7xD4):1Q8	448,293
(C₇×D₄)⋊₂Q₈ = D₄⋊Dic₁₄	φ: Q₈/C₂ → C₂² ⊆ Out C₇×D₄	224		(C7xD4):2Q8	448,295
(C₇×D₄)⋊₃Q₈ = C₂₈.₅₀D₈	φ: Q₈/C₄ → C₂ ⊆ Out C₇×D₄	224		(C7xD4):3Q8	448,541
(C₇×D₄)⋊₄Q₈ = C₂₈.₃₈SD₁₆	φ: Q₈/C₄ → C₂ ⊆ Out C₇×D₄	224		(C7xD4):4Q8	448,542
(C₇×D₄)⋊₅Q₈ = D₄×Dic₁₄	φ: Q₈/C₄ → C₂ ⊆ Out C₇×D₄	224		(C7xD4):5Q8	448,990
(C₇×D₄)⋊₆Q₈ = D₄⋊₅Dic₁₄	φ: Q₈/C₄ → C₂ ⊆ Out C₇×D₄	224		(C7xD4):6Q8	448,992
(C₇×D₄)⋊₇Q₈ = D₄⋊₆Dic₁₄	φ: Q₈/C₄ → C₂ ⊆ Out C₇×D₄	224		(C7xD4):7Q8	448,996
(C₇×D₄)⋊₈Q₈ = C₇×D₄⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₇×D₄	224		(C7xD4):8Q8	448,882
(C₇×D₄)⋊₉Q₈ = C₇×D₄⋊₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₇×D₄	224		(C7xD4):9Q8	448,884
(C₇×D₄)⋊₁₀Q₈ = C₇×D₄⋊₃Q₈	φ: trivial image	224		(C7xD4):10Q8	448,1337

Non-split extensions G=N.Q with N=C₇×D₄ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₄).₁Q₈ = D₄.Dic₁₄	φ: Q₈/C₂ → C₂² ⊆ Out C₇×D₄	224		(C7xD4).1Q8	448,297
(C₇×D₄).₂Q₈ = D₄.₂Dic₁₄	φ: Q₈/C₂ → C₂² ⊆ Out C₇×D₄	224		(C7xD4).2Q8	448,300
(C₇×D₄).₃Q₈ = D₄.₃Dic₁₄	φ: Q₈/C₄ → C₂ ⊆ Out C₇×D₄	224		(C7xD4).3Q8	448,543
(C₇×D₄).₄Q₈ = C₇×D₄.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₇×D₄	224		(C7xD4).4Q8	448,886

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