Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₂×C₁₄

Direct product G=N×Q with N=Q₈ and Q=C₂×C₁₄

		d	ρ	Label	ID
Q₈×C₂×C₁₄		224		Q8xC2xC14	224,191

Semidirect products G=N:Q with N=Q₈ and Q=C₂×C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁(C₂×C₁₄) = C₁₄×SD₁₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out Q₈	112		Q8:1(C2xC14)	224,168
Q₈⋊₂(C₂×C₁₄) = C₇×C₈⋊C₂²	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out Q₈	56	4	Q8:2(C2xC14)	224,171
Q₈⋊₃(C₂×C₁₄) = C₁₄×C₄○D₄	φ: trivial image	112		Q8:3(C2xC14)	224,192
Q₈⋊₄(C₂×C₁₄) = C₇×2₊¹⁺⁴	φ: trivial image	56	4	Q8:4(C2xC14)	224,193

Non-split extensions G=N.Q with N=Q₈ and Q=C₂×C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(C₂×C₁₄) = C₁₄×Q₁₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out Q₈	224		Q8.1(C2xC14)	224,169
Q₈.₂(C₂×C₁₄) = C₇×C₄○D₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out Q₈	112	2	Q8.2(C2xC14)	224,170
Q₈.₃(C₂×C₁₄) = C₇×C₈.C₂²	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out Q₈	112	4	Q8.3(C2xC14)	224,172
Q₈.₄(C₂×C₁₄) = C₇×2_-¹⁺⁴	φ: trivial image	112	4	Q8.4(C2xC14)	224,194

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