Extensions 1→N→G→Q→1 with N=D₁₄ and Q=C₂³

Direct product G=N×Q with N=D₁₄ and Q=C₂³

		d	ρ	Label	ID
D₇×C₂⁴		112		D7xC2^4	224,196

Semidirect products G=N:Q with N=D₁₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄⋊₁C₂³ = C₂²×D₂₈	φ: C₂³/C₂² → C₂ ⊆ Out D₁₄	112		D14:1C2^3	224,176
D₁₄⋊₂C₂³ = C₂×D₄×D₇	φ: C₂³/C₂² → C₂ ⊆ Out D₁₄	56		D14:2C2^3	224,178
D₁₄⋊₃C₂³ = C₂²×C₇⋊D₄	φ: C₂³/C₂² → C₂ ⊆ Out D₁₄	112		D14:3C2^3	224,188

Non-split extensions G=N.Q with N=D₁₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄.₁C₂³ = C₂×C₄○D₂₈	φ: C₂³/C₂² → C₂ ⊆ Out D₁₄	112		D14.1C2^3	224,177
D₁₄.₂C₂³ = C₂×D₄⋊₂D₇	φ: C₂³/C₂² → C₂ ⊆ Out D₁₄	112		D14.2C2^3	224,179
D₁₄.₃C₂³ = D₄⋊₆D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out D₁₄	56	4	D14.3C2^3	224,180
D₁₄.₄C₂³ = C₂×Q₈⋊₂D₇	φ: C₂³/C₂² → C₂ ⊆ Out D₁₄	112		D14.4C2^3	224,182
D₁₄.₅C₂³ = Q₈.₁₀D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out D₁₄	112	4	D14.5C2^3	224,183
D₁₄.₆C₂³ = D₇×C₄○D₄	φ: C₂³/C₂² → C₂ ⊆ Out D₁₄	56	4	D14.6C2^3	224,184
D₁₄.₇C₂³ = D₄⋊₈D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out D₁₄	56	4+	D14.7C2^3	224,185
D₁₄.₈C₂³ = D₄.₁₀D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out D₁₄	112	4-	D14.8C2^3	224,186
D₁₄.₉C₂³ = D₇×C₂²×C₄	φ: trivial image	112		D14.9C2^3	224,175
D₁₄.₁₀C₂³ = C₂×Q₈×D₇	φ: trivial image	112		D14.10C2^3	224,181

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