Extensions 1→N→G→Q→1 with N=D₈ and Q=C₂₈

Direct product G=N×Q with N=D₈ and Q=C₂₈

		d	ρ	Label	ID
D₈×C₂₈		224		D8xC28	448,845

Semidirect products G=N:Q with N=D₈ and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₈⋊₁C₂₈ = C₇×C₂.D₁₆	φ: C₂₈/C₁₄ → C₂ ⊆ Out D₈	224		D8:1C28	448,161
D₈⋊₂C₂₈ = C₇×D₈⋊₂C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out D₈	112	4	D8:2C28	448,164
D₈⋊₃C₂₈ = C₇×D₈⋊C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out D₈	224		D8:3C28	448,850
D₈⋊₄C₂₈ = C₇×C₈.₂₆D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out D₈	112	4	D8:4C28	448,852
D₈⋊₅C₂₈ = C₇×C₈○D₈	φ: trivial image	112	2	D8:5C28	448,851

Non-split extensions G=N.Q with N=D₈ and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₈.₁C₂₈ = C₇×D₈.C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out D₈	224	2	D8.1C28	448,163
D₈.₂C₂₈ = C₇×M₅(2)⋊C₂	φ: C₂₈/C₁₄ → C₂ ⊆ Out D₈	112	4	D8.2C28	448,165

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