Extensions 1→N→G→Q→1 with N=Q₈⋊₂D₇ and Q=C₂

Direct product G=N×Q with N=Q₈⋊₂D₇ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈⋊₂D₇		112		C2xQ8:2D7	224,182

Semidirect products G=N:Q with N=Q₈⋊₂D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₂D₇⋊₁C₂ = D₅₆⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₂D₇	56	4+	Q8:2D7:1C2	224,109
Q₈⋊₂D₇⋊₂C₂ = SD₁₆⋊₃D₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₂D₇	112	4	Q8:2D7:2C2	224,111
Q₈⋊₂D₇⋊₃C₂ = Q₈.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₂D₇	112	4+	Q8:2D7:3C2	224,114
Q₈⋊₂D₇⋊₄C₂ = Q₈.₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₂D₇	112	4	Q8:2D7:4C2	224,183
Q₈⋊₂D₇⋊₅C₂ = D₄⋊₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₂D₇	56	4+	Q8:2D7:5C2	224,185
Q₈⋊₂D₇⋊₆C₂ = D₇×C₄○D₄	φ: trivial image	56	4	Q8:2D7:6C2	224,184

Non-split extensions G=N.Q with N=Q₈⋊₂D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₂D₇.C₂ = Q₁₆⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₂D₇	112	4	Q8:2D7.C2	224,113

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