Extensions 1→N→G→Q→1 with N=D₈ and Q=Dic₇

Direct product G=N×Q with N=D₈ and Q=Dic₇

		d	ρ	Label	ID
D₈×Dic₇		224		D8xDic7	448,683

Semidirect products G=N:Q with N=D₈ and Q=Dic₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₈⋊₁Dic₇ = C₁₄.SD₃₂	φ: Dic₇/C₁₄ → C₂ ⊆ Out D₈	224		D8:1Dic7	448,119
D₈⋊₂Dic₇ = D₈⋊₂Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Out D₈	112	4	D8:2Dic7	448,123
D₈⋊₃Dic₇ = D₈⋊Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Out D₈	224		D8:3Dic7	448,686
D₈⋊₄Dic₇ = D₈⋊₄Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Out D₈	112	4	D8:4Dic7	448,731
D₈⋊₅Dic₇ = D₈⋊₅Dic₇	φ: trivial image	112	4	D8:5Dic7	448,730

Non-split extensions G=N.Q with N=D₈ and Q=Dic₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₈.₁Dic₇ = C₂₈.₅₈D₈	φ: Dic₇/C₁₄ → C₂ ⊆ Out D₈	224	4	D8.1Dic7	448,124
D₈.₂Dic₇ = D₈.Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Out D₈	112	4	D8.2Dic7	448,120

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