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

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

		d	ρ	Label	ID
D₄xD₇		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

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