Extensions 1→N→G→Q→1 with N=Q₁₆ and Q=D₇

Direct product G=NxQ with N=Q₁₆ and Q=D₇

		d	ρ	Label	ID
D₇xQ₁₆		112	4-	D7xQ16	224,112

Semidirect products G=N:Q with N=Q₁₆ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆:₁D₇ = C₇:SD₃₂	φ: D₇/C₇ → C₂ ⊆ Out Q₁₆	112	4+	Q16:1D7	224,34
Q₁₆:₂D₇ = Q₁₆:D₇	φ: D₇/C₇ → C₂ ⊆ Out Q₁₆	112	4	Q16:2D7	224,113
Q₁₆:₃D₇ = Q₈.D₁₄	φ: trivial image	112	4+	Q16:3D7	224,114

Non-split extensions G=N.Q with N=Q₁₆ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆.D₇ = C₇:Q₃₂	φ: D₇/C₇ → C₂ ⊆ Out Q₁₆	224	4-	Q16.D7	224,35

Extensions 1→N→G→Q→1 with N=Q16 and Q=D7