Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂₈

Direct product G=N×Q with N=D₄ and Q=C₂₈

		d	ρ	Label	ID
D₄×C₂₈		112		D4xC28	224,153

Semidirect products G=N:Q with N=D₄ and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁C₂₈ = C₇×D₄⋊C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out D₄	112		D4:1C28	224,51
D₄⋊₂C₂₈ = C₇×C₄≀C₂	φ: C₂₈/C₁₄ → C₂ ⊆ Out D₄	56	2	D4:2C28	224,53

Non-split extensions G=N.Q with N=D₄ and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₂₈ = C₇×C₈○D₄	φ: trivial image	112	2	D4.C28	224,166

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Extensions 1→N→G→Q→1 with N=D4 and Q=C28