Extensions 1→N→G→Q→1 with N=D₄ and Q=D₇

Direct product G=N×Q with N=D₄ and Q=D₇

		d	ρ	Label	ID
D₄×D₇		28	4+	D4xD7	112,31

Semidirect products G=N:Q with N=D₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊D₇ = D₄⋊D₇	φ: D₇/C₇ → C₂ ⊆ Out D₄	56	4+	D4:D7	112,14
D₄⋊₂D₇ = D₄⋊₂D₇	φ: trivial image	56	4-	D4:2D7	112,32

Non-split extensions G=N.Q with N=D₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.D₇ = D₄.D₇	φ: D₇/C₇ → C₂ ⊆ Out D₄	56	4-	D4.D7	112,15

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Extensions 1→N→G→Q→1 with N=D4 and Q=D7