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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁D₁₄ = D₇×SD₁₆	φ: D₁₄/D₇ → C₂ ⊆ Out Q₈	56	4	Q8:1D14	224,108
Q₈⋊₂D₁₄ = D₅₆⋊C₂	φ: D₁₄/D₇ → C₂ ⊆ Out Q₈	56	4+	Q8:2D14	224,109
Q₈⋊₃D₁₄ = C₂×Q₈⋊D₇	φ: D₁₄/C₁₄ → C₂ ⊆ Out Q₈	112		Q8:3D14	224,136
Q₈⋊₄D₁₄ = D₄⋊D₁₄	φ: D₁₄/C₁₄ → C₂ ⊆ Out Q₈	56	4+	Q8:4D14	224,144
Q₈⋊₅D₁₄ = C₂×Q₈⋊₂D₇	φ: trivial image	112		Q8:5D14	224,182
Q₈⋊₆D₁₄ = D₇×C₄○D₄	φ: trivial image	56	4	Q8:6D14	224,184
Q₈⋊₇D₁₄ = D₄⋊₈D₁₄	φ: trivial image	56	4+	Q8:7D14	224,185

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁D₁₄ = SD₁₆⋊D₇	φ: D₁₄/D₇ → C₂ ⊆ Out Q₈	112	4-	Q8.1D14	224,110
Q₈.₂D₁₄ = SD₁₆⋊₃D₇	φ: D₁₄/D₇ → C₂ ⊆ Out Q₈	112	4	Q8.2D14	224,111
Q₈.₃D₁₄ = D₇×Q₁₆	φ: D₁₄/D₇ → C₂ ⊆ Out Q₈	112	4-	Q8.3D14	224,112
Q₈.₄D₁₄ = Q₁₆⋊D₇	φ: D₁₄/D₇ → C₂ ⊆ Out Q₈	112	4	Q8.4D14	224,113
Q₈.₅D₁₄ = Q₈.D₁₄	φ: D₁₄/D₇ → C₂ ⊆ Out Q₈	112	4+	Q8.5D14	224,114
Q₈.₆D₁₄ = C₂₈.C₂³	φ: D₁₄/C₁₄ → C₂ ⊆ Out Q₈	112	4	Q8.6D14	224,137
Q₈.₇D₁₄ = C₂×C₇⋊Q₁₆	φ: D₁₄/C₁₄ → C₂ ⊆ Out Q₈	224		Q8.7D14	224,138
Q₈.₈D₁₄ = D₄.₈D₁₄	φ: D₁₄/C₁₄ → C₂ ⊆ Out Q₈	112	4	Q8.8D14	224,145
Q₈.₉D₁₄ = D₄.₉D₁₄	φ: D₁₄/C₁₄ → C₂ ⊆ Out Q₈	112	4-	Q8.9D14	224,146
Q₈.₁₀D₁₄ = Q₈.₁₀D₁₄	φ: trivial image	112	4	Q8.10D14	224,183
Q₈.₁₁D₁₄ = D₄.₁₀D₁₄	φ: trivial image	112	4-	Q8.11D14	224,186

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