Extensions 1→N→G→Q→1 with N=Q₈×D₇ and Q=C₂

Direct product G=N×Q with N=Q₈×D₇ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈×D₇		112		C2xQ8xD7	224,181

Semidirect products G=N:Q with N=Q₈×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×D₇)⋊₁C₂ = D₇×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₇	56	4	(Q8xD7):1C2	224,108
(Q₈×D₇)⋊₂C₂ = SD₁₆⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₇	112	4-	(Q8xD7):2C2	224,110
(Q₈×D₇)⋊₃C₂ = Q₁₆⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₇	112	4	(Q8xD7):3C2	224,113
(Q₈×D₇)⋊₄C₂ = Q₈.₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₇	112	4	(Q8xD7):4C2	224,183
(Q₈×D₇)⋊₅C₂ = D₄.₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₇	112	4-	(Q8xD7):5C2	224,186
(Q₈×D₇)⋊₆C₂ = D₇×C₄○D₄	φ: trivial image	56	4	(Q8xD7):6C2	224,184

Non-split extensions G=N.Q with N=Q₈×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×D₇).C₂ = D₇×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×D₇	112	4-	(Q8xD7).C2	224,112

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