Extensions 1→N→G→Q→1 with N=D₁₄ and Q=Q₈

Direct product G=NxQ with N=D₁₄ and Q=Q₈

		d	ρ	Label	ID
C₂xQ₈xD₇		112		C2xQ8xD7	224,181

Semidirect products G=N:Q with N=D₁₄ and Q=Q₈

extension	φ:Q→Out N	d	Label	ID
D₁₄:₁Q₈ = D₁₄:Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₁₄	112	D14:1Q8	224,91
D₁₄:₂Q₈ = D₁₄:₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₁₄	112	D14:2Q8	224,92
D₁₄:₃Q₈ = D₁₄:₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₁₄	112	D14:3Q8	224,141

Non-split extensions G=N.Q with N=D₁₄ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄.Q₈ = D₇xC₄:C₄	φ: trivial image	112		D14.Q8	224,86

Extensions 1→N→G→Q→1 with N=D14 and Q=Q8