Extensions 1→N→G→Q→1 with N=D₄ and Q=Dic₇

Direct product G=N×Q with N=D₄ and Q=Dic₇

		d	ρ	Label	ID
D₄×Dic₇		112		D4xDic7	224,129

Semidirect products G=N:Q with N=D₄ and Q=Dic₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁Dic₇ = D₄⋊Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Out D₄	112		D4:1Dic7	224,38
D₄⋊₂Dic₇ = D₄⋊₂Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Out D₄	56	4	D4:2Dic7	224,43

Non-split extensions G=N.Q with N=D₄ and Q=Dic₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.Dic₇ = Q₈.Dic₇	φ: trivial image	112	4	D4.Dic7	224,143

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Extensions 1→N→G→Q→1 with N=D4 and Q=Dic7